TSTP Solution File: CSR056+2 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : CSR056+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n006.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 00:02:17 EDT 2022

% Result   : Theorem 0.48s 0.66s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR056+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 11 11:03:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.48/0.66  (* PROOF-FOUND *)
% 0.48/0.66  % SZS status Theorem
% 0.48/0.66  (* BEGIN-PROOF *)
% 0.48/0.66  % SZS output start Proof
% 0.48/0.66  Theorem query106 : (exists QUANTITY : zenon_U, ((mtvisible (c_tptp_member3717_mt))->(tptpofobject (c_tptpartsupplies) QUANTITY))).
% 0.48/0.66  Proof.
% 0.48/0.66  apply NNPP. intro zenon_G.
% 0.48/0.66  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 ].
% 0.48/0.66  apply (zenon_imply_s _ _ ax1_40); [ zenon_intro zenon_H454 | zenon_intro zenon_H453 ].
% 0.48/0.66  apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H455.
% 0.48/0.66  apply (zenon_notimply_s _ _ zenon_H455). zenon_intro zenon_H457. zenon_intro zenon_H456.
% 0.48/0.66  generalize (ax1_1123 (c_tptp_member3717_mt)). zenon_intro zenon_H458.
% 0.48/0.66  generalize (zenon_H458 (c_cyclistsmt)). zenon_intro zenon_H459.
% 0.48/0.66  apply (zenon_imply_s _ _ zenon_H459); [ zenon_intro zenon_H45b | zenon_intro zenon_H45a ].
% 0.48/0.66  apply (zenon_notand_s _ _ zenon_H45b); [ zenon_intro zenon_H45d | zenon_intro zenon_H45c ].
% 0.48/0.66  exact (zenon_H45d zenon_H457).
% 0.48/0.66  elim (classic ((~((c_tptp_member3717_mt) = (c_tptp_spindleheadmt)))/\(~(genlmt (c_tptp_member3717_mt) (c_tptp_spindleheadmt))))); [ zenon_intro zenon_H45e | zenon_intro zenon_H45f ].
% 0.48/0.66  apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H461. zenon_intro zenon_H460.
% 0.48/0.66  exact (zenon_H460 ax1_279).
% 0.48/0.66  cut ((genlmt (c_tptp_spindleheadmt) (c_cyclistsmt)) = (genlmt (c_tptp_member3717_mt) (c_cyclistsmt))).
% 0.48/0.66  intro zenon_D_pnotp.
% 0.48/0.66  apply zenon_H45c.
% 0.48/0.66  rewrite <- zenon_D_pnotp.
% 0.48/0.66  exact ax1_254.
% 0.48/0.66  cut (((c_cyclistsmt) = (c_cyclistsmt))); [idtac | apply NNPP; zenon_intro zenon_H462].
% 0.48/0.66  cut (((c_tptp_spindleheadmt) = (c_tptp_member3717_mt))); [idtac | apply NNPP; zenon_intro zenon_H463].
% 0.48/0.66  congruence.
% 0.48/0.66  apply (zenon_notand_s _ _ zenon_H45f); [ zenon_intro zenon_H465 | zenon_intro zenon_H464 ].
% 0.48/0.66  apply zenon_H465. zenon_intro zenon_H466.
% 0.48/0.66  elim (classic ((c_tptp_member3717_mt) = (c_tptp_member3717_mt))); [ zenon_intro zenon_H467 | zenon_intro zenon_H468 ].
% 0.48/0.66  cut (((c_tptp_member3717_mt) = (c_tptp_member3717_mt)) = ((c_tptp_spindleheadmt) = (c_tptp_member3717_mt))).
% 0.48/0.66  intro zenon_D_pnotp.
% 0.48/0.66  apply zenon_H463.
% 0.48/0.66  rewrite <- zenon_D_pnotp.
% 0.48/0.66  exact zenon_H467.
% 0.48/0.66  cut (((c_tptp_member3717_mt) = (c_tptp_member3717_mt))); [idtac | apply NNPP; zenon_intro zenon_H468].
% 0.48/0.66  cut (((c_tptp_member3717_mt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H461].
% 0.48/0.66  congruence.
% 0.48/0.66  exact (zenon_H461 zenon_H466).
% 0.48/0.66  apply zenon_H468. apply refl_equal.
% 0.48/0.66  apply zenon_H468. apply refl_equal.
% 0.48/0.66  apply zenon_H464. zenon_intro ax1_279.
% 0.48/0.66  generalize (zenon_H451 (c_tptp_member3717_mt)). zenon_intro zenon_H469.
% 0.48/0.66  generalize (zenon_H469 (c_tptp_spindleheadmt)). zenon_intro zenon_H46a.
% 0.48/0.66  generalize (zenon_H46a (c_cyclistsmt)). zenon_intro zenon_H46b.
% 0.48/0.66  apply (zenon_imply_s _ _ zenon_H46b); [ zenon_intro zenon_H460 | zenon_intro zenon_H46c ].
% 0.48/0.66  exact (zenon_H460 ax1_279).
% 0.48/0.66  apply (zenon_imply_s _ _ zenon_H46c); [ zenon_intro zenon_H46e | zenon_intro zenon_H46d ].
% 0.48/0.66  exact (zenon_H46e ax1_254).
% 0.48/0.66  exact (zenon_H45c zenon_H46d).
% 0.48/0.66  apply zenon_H462. apply refl_equal.
% 0.48/0.66  exact (zenon_H454 zenon_H45a).
% 0.48/0.66  apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H455.
% 0.48/0.66  apply (zenon_notimply_s _ _ zenon_H455). zenon_intro zenon_H457. zenon_intro zenon_H456.
% 0.48/0.66  apply zenon_G. exists (f_tptpquantityfn_14 (n_232)). apply NNPP. zenon_intro zenon_H46f.
% 0.48/0.66  apply (zenon_notimply_s _ _ zenon_H46f). zenon_intro zenon_H457. zenon_intro zenon_H470.
% 0.48/0.66  generalize (ax1_202 (c_tptpartsupplies)). zenon_intro zenon_H471.
% 0.48/0.66  apply (zenon_imply_s _ _ zenon_H471); [ zenon_intro zenon_H473 | zenon_intro zenon_H472 ].
% 0.48/0.66  apply (zenon_notand_s _ _ zenon_H473); [ zenon_intro zenon_H475 | zenon_intro zenon_H474 ].
% 0.48/0.66  generalize (ax1_1123 (c_tptp_member3717_mt)). zenon_intro zenon_H458.
% 0.48/0.66  generalize (zenon_H458 (c_tptp_spindleheadmt)). zenon_intro zenon_H476.
% 0.48/0.66  apply (zenon_imply_s _ _ zenon_H476); [ zenon_intro zenon_H478 | zenon_intro zenon_H477 ].
% 0.48/0.66  apply (zenon_notand_s _ _ zenon_H478); [ zenon_intro zenon_H45d | zenon_intro zenon_H460 ].
% 0.48/0.66  exact (zenon_H45d zenon_H457).
% 0.48/0.66  exact (zenon_H460 ax1_279).
% 0.48/0.66  exact (zenon_H475 zenon_H477).
% 0.48/0.66  generalize (ax1_238 (c_tptpartsupplies)). zenon_intro zenon_H479.
% 0.48/0.66  apply (zenon_imply_s _ _ zenon_H479); [ zenon_intro zenon_H47b | zenon_intro zenon_H47a ].
% 0.48/0.66  exact (zenon_H47b zenon_H453).
% 0.48/0.66  exact (zenon_H474 zenon_H47a).
% 0.48/0.66  exact (zenon_H470 zenon_H472).
% 0.48/0.66  apply zenon_H452. zenon_intro zenon_Tx_bse. apply NNPP. zenon_intro zenon_H47d.
% 0.48/0.66  apply zenon_H47d. zenon_intro zenon_Ty_bsg. apply NNPP. zenon_intro zenon_H47f.
% 0.48/0.66  apply zenon_H47f. zenon_intro zenon_Tz_bsi. apply NNPP. zenon_intro zenon_H481.
% 0.48/0.66  apply (zenon_notimply_s _ _ zenon_H481). zenon_intro zenon_H483. zenon_intro zenon_H482.
% 0.48/0.66  apply (zenon_notimply_s _ _ zenon_H482). zenon_intro zenon_H485. zenon_intro zenon_H484.
% 0.48/0.66  generalize (ax1_1128 zenon_Tx_bse). zenon_intro zenon_H486.
% 0.48/0.66  generalize (zenon_H486 zenon_Ty_bsg). zenon_intro zenon_H487.
% 0.48/0.66  generalize (zenon_H487 zenon_Tz_bsi). zenon_intro zenon_H488.
% 0.48/0.66  apply (zenon_imply_s _ _ zenon_H488); [ zenon_intro zenon_H48a | zenon_intro zenon_H489 ].
% 0.48/0.66  apply (zenon_notand_s _ _ zenon_H48a); [ zenon_intro zenon_H48c | zenon_intro zenon_H48b ].
% 0.48/0.66  exact (zenon_H48c zenon_H483).
% 0.48/0.66  exact (zenon_H48b zenon_H485).
% 0.48/0.66  exact (zenon_H484 zenon_H489).
% 0.48/0.66  Qed.
% 0.48/0.66  % SZS output end Proof
% 0.48/0.66  (* END-PROOF *)
% 0.48/0.66  nodes searched: 6401
% 0.48/0.66  max branch formulas: 4226
% 0.48/0.66  proof nodes created: 85
% 0.48/0.66  formulas created: 45996
% 0.48/0.66  
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