TSTP Solution File: CSR026+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR026+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n022.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 00:01:47 EDT 2022
% Result : Theorem 0.48s 0.69s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR026+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : run_zenon %s %d
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 19:23:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.48/0.69 (* PROOF-FOUND *)
% 0.48/0.69 % SZS status Theorem
% 0.48/0.69 (* BEGIN-PROOF *)
% 0.48/0.69 % SZS output start Proof
% 0.48/0.69 Theorem query76 : ((mtvisible (c_tptp_spindlecollectormt))->(tptpofobject (c_tptprunningshorts) (f_tptpquantityfn_2 (n_756)))).
% 0.48/0.69 Proof.
% 0.48/0.69 assert (zenon_L1_ : (~((c_tptp_spindleheadmt) = (c_tptp_spindleheadmt))) -> False).
% 0.48/0.69 do 0 intro. intros zenon_H450.
% 0.48/0.69 apply zenon_H450. apply refl_equal.
% 0.48/0.69 (* end of lemma zenon_L1_ *)
% 0.48/0.69 apply NNPP. intro zenon_G.
% 0.48/0.69 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_H451 | zenon_intro zenon_H452 ].
% 0.48/0.69 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H454. zenon_intro zenon_H453.
% 0.48/0.69 apply (zenon_imply_s _ _ ax1_163); [ zenon_intro zenon_H456 | zenon_intro zenon_H455 ].
% 0.48/0.69 generalize (ax1_1123 (c_tptp_spindlecollectormt)). zenon_intro zenon_H457.
% 0.48/0.69 generalize (zenon_H457 (c_cyclistsmt)). zenon_intro zenon_H458.
% 0.48/0.69 apply (zenon_imply_s _ _ zenon_H458); [ zenon_intro zenon_H45a | zenon_intro zenon_H459 ].
% 0.48/0.69 apply (zenon_notand_s _ _ zenon_H45a); [ zenon_intro zenon_H45c | zenon_intro zenon_H45b ].
% 0.48/0.69 exact (zenon_H45c zenon_H454).
% 0.48/0.69 elim (classic ((~((c_tptp_spindlecollectormt) = (c_tptp_spindleheadmt)))/\(~(genlmt (c_tptp_spindlecollectormt) (c_tptp_spindleheadmt))))); [ zenon_intro zenon_H45d | zenon_intro zenon_H45e ].
% 0.48/0.69 apply (zenon_and_s _ _ zenon_H45d). zenon_intro zenon_H460. zenon_intro zenon_H45f.
% 0.48/0.69 elim (classic ((~((c_tptp_spindlecollectormt) = (c_tptp_member3993_mt)))/\(~(genlmt (c_tptp_spindlecollectormt) (c_tptp_member3993_mt))))); [ zenon_intro zenon_H461 | zenon_intro zenon_H462 ].
% 0.48/0.69 apply (zenon_and_s _ _ zenon_H461). zenon_intro zenon_H464. zenon_intro zenon_H463.
% 0.48/0.69 exact (zenon_H463 ax1_364).
% 0.48/0.69 cut ((genlmt (c_tptp_member3993_mt) (c_tptp_spindleheadmt)) = (genlmt (c_tptp_spindlecollectormt) (c_tptp_spindleheadmt))).
% 0.48/0.69 intro zenon_D_pnotp.
% 0.48/0.69 apply zenon_H45f.
% 0.48/0.69 rewrite <- zenon_D_pnotp.
% 0.48/0.69 exact ax1_315.
% 0.48/0.69 cut (((c_tptp_spindleheadmt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H450].
% 0.48/0.69 cut (((c_tptp_member3993_mt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H465].
% 0.48/0.69 congruence.
% 0.48/0.69 apply (zenon_notand_s _ _ zenon_H462); [ zenon_intro zenon_H467 | zenon_intro zenon_H466 ].
% 0.48/0.69 apply zenon_H467. zenon_intro zenon_H468.
% 0.48/0.69 elim (classic ((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [ zenon_intro zenon_H469 | zenon_intro zenon_H46a ].
% 0.48/0.69 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt)) = ((c_tptp_member3993_mt) = (c_tptp_spindlecollectormt))).
% 0.48/0.69 intro zenon_D_pnotp.
% 0.48/0.69 apply zenon_H465.
% 0.48/0.69 rewrite <- zenon_D_pnotp.
% 0.48/0.69 exact zenon_H469.
% 0.48/0.69 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 0.48/0.69 cut (((c_tptp_spindlecollectormt) = (c_tptp_member3993_mt))); [idtac | apply NNPP; zenon_intro zenon_H464].
% 0.48/0.69 congruence.
% 0.48/0.69 exact (zenon_H464 zenon_H468).
% 0.48/0.69 apply zenon_H46a. apply refl_equal.
% 0.48/0.69 apply zenon_H46a. apply refl_equal.
% 0.48/0.69 apply zenon_H466. zenon_intro ax1_364.
% 0.48/0.69 generalize (zenon_H451 (c_tptp_spindlecollectormt)). zenon_intro zenon_H46b.
% 0.48/0.69 generalize (zenon_H46b (c_tptp_member3993_mt)). zenon_intro zenon_H46c.
% 0.48/0.69 generalize (zenon_H46c (c_tptp_spindleheadmt)). zenon_intro zenon_H46d.
% 0.48/0.69 apply (zenon_imply_s _ _ zenon_H46d); [ zenon_intro zenon_H463 | zenon_intro zenon_H46e ].
% 0.48/0.69 exact (zenon_H463 ax1_364).
% 0.48/0.69 apply (zenon_imply_s _ _ zenon_H46e); [ zenon_intro zenon_H470 | zenon_intro zenon_H46f ].
% 0.48/0.69 exact (zenon_H470 ax1_315).
% 0.48/0.69 exact (zenon_H45f zenon_H46f).
% 0.48/0.69 apply zenon_H450. apply refl_equal.
% 0.48/0.69 cut ((genlmt (c_tptp_spindleheadmt) (c_cyclistsmt)) = (genlmt (c_tptp_spindlecollectormt) (c_cyclistsmt))).
% 0.48/0.69 intro zenon_D_pnotp.
% 0.48/0.69 apply zenon_H45b.
% 0.48/0.69 rewrite <- zenon_D_pnotp.
% 0.48/0.69 exact ax1_254.
% 0.48/0.69 cut (((c_cyclistsmt) = (c_cyclistsmt))); [idtac | apply NNPP; zenon_intro zenon_H471].
% 0.48/0.69 cut (((c_tptp_spindleheadmt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H472].
% 0.48/0.69 congruence.
% 0.48/0.69 apply (zenon_notand_s _ _ zenon_H45e); [ zenon_intro zenon_H474 | zenon_intro zenon_H473 ].
% 0.48/0.69 apply zenon_H474. zenon_intro zenon_H475.
% 0.48/0.69 elim (classic ((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [ zenon_intro zenon_H469 | zenon_intro zenon_H46a ].
% 0.48/0.69 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt)) = ((c_tptp_spindleheadmt) = (c_tptp_spindlecollectormt))).
% 0.48/0.69 intro zenon_D_pnotp.
% 0.48/0.69 apply zenon_H472.
% 0.48/0.69 rewrite <- zenon_D_pnotp.
% 0.48/0.69 exact zenon_H469.
% 0.48/0.69 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 0.48/0.69 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H460].
% 0.48/0.69 congruence.
% 0.48/0.69 exact (zenon_H460 zenon_H475).
% 0.48/0.69 apply zenon_H46a. apply refl_equal.
% 0.48/0.69 apply zenon_H46a. apply refl_equal.
% 0.48/0.69 apply zenon_H473. zenon_intro zenon_H46f.
% 0.48/0.69 generalize (zenon_H451 (c_tptp_spindlecollectormt)). zenon_intro zenon_H46b.
% 0.48/0.69 generalize (zenon_H46b (c_tptp_spindleheadmt)). zenon_intro zenon_H476.
% 0.48/0.69 generalize (zenon_H476 (c_cyclistsmt)). zenon_intro zenon_H477.
% 0.48/0.69 apply (zenon_imply_s _ _ zenon_H477); [ zenon_intro zenon_H45f | zenon_intro zenon_H478 ].
% 0.48/0.69 exact (zenon_H45f zenon_H46f).
% 0.48/0.69 apply (zenon_imply_s _ _ zenon_H478); [ zenon_intro zenon_H47a | zenon_intro zenon_H479 ].
% 0.48/0.69 exact (zenon_H47a ax1_254).
% 0.48/0.69 exact (zenon_H45b zenon_H479).
% 0.48/0.69 apply zenon_H471. apply refl_equal.
% 0.48/0.69 exact (zenon_H456 zenon_H459).
% 0.48/0.69 generalize (ax1_440 (c_tptprunningshorts)). zenon_intro zenon_H47b.
% 0.48/0.69 apply (zenon_imply_s _ _ zenon_H47b); [ zenon_intro zenon_H47d | zenon_intro zenon_H47c ].
% 0.48/0.69 apply (zenon_notand_s _ _ zenon_H47d); [ zenon_intro zenon_H47f | zenon_intro zenon_H47e ].
% 0.48/0.69 generalize (ax1_1123 (c_tptp_spindlecollectormt)). zenon_intro zenon_H457.
% 0.48/0.69 generalize (zenon_H457 (c_tptp_member2701_mt)). zenon_intro zenon_H480.
% 0.48/0.69 apply (zenon_imply_s _ _ zenon_H480); [ zenon_intro zenon_H482 | zenon_intro zenon_H481 ].
% 0.48/0.69 apply (zenon_notand_s _ _ zenon_H482); [ zenon_intro zenon_H45c | zenon_intro zenon_H483 ].
% 0.48/0.69 exact (zenon_H45c zenon_H454).
% 0.48/0.69 exact (zenon_H483 ax1_344).
% 0.48/0.69 exact (zenon_H47f zenon_H481).
% 0.48/0.69 exact (zenon_H47e zenon_H455).
% 0.48/0.69 exact (zenon_H453 zenon_H47c).
% 0.48/0.69 apply zenon_H452. zenon_intro zenon_Tx_bsm. apply NNPP. zenon_intro zenon_H485.
% 0.48/0.69 apply zenon_H485. zenon_intro zenon_Ty_bso. apply NNPP. zenon_intro zenon_H487.
% 0.48/0.69 apply zenon_H487. zenon_intro zenon_Tz_bsq. apply NNPP. zenon_intro zenon_H489.
% 0.48/0.69 apply (zenon_notimply_s _ _ zenon_H489). zenon_intro zenon_H48b. zenon_intro zenon_H48a.
% 0.48/0.69 apply (zenon_notimply_s _ _ zenon_H48a). zenon_intro zenon_H48d. zenon_intro zenon_H48c.
% 0.48/0.69 generalize (ax1_1128 zenon_Tx_bsm). zenon_intro zenon_H48e.
% 0.48/0.69 generalize (zenon_H48e zenon_Ty_bso). zenon_intro zenon_H48f.
% 0.48/0.69 generalize (zenon_H48f zenon_Tz_bsq). zenon_intro zenon_H490.
% 0.48/0.69 apply (zenon_imply_s _ _ zenon_H490); [ zenon_intro zenon_H492 | zenon_intro zenon_H491 ].
% 0.48/0.69 apply (zenon_notand_s _ _ zenon_H492); [ zenon_intro zenon_H494 | zenon_intro zenon_H493 ].
% 0.48/0.69 exact (zenon_H494 zenon_H48b).
% 0.48/0.69 exact (zenon_H493 zenon_H48d).
% 0.48/0.69 exact (zenon_H48c zenon_H491).
% 0.48/0.69 Qed.
% 0.48/0.69 % SZS output end Proof
% 0.48/0.69 (* END-PROOF *)
% 0.48/0.69 nodes searched: 6196
% 0.48/0.69 max branch formulas: 4257
% 0.48/0.69 proof nodes created: 43
% 0.48/0.69 formulas created: 48154
% 0.48/0.69
%------------------------------------------------------------------------------