TSTP Solution File: HAL003+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% 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 12:46:18 EDT 2022
% Result : Theorem 29.83s 30.05s
% Output : Proof 29.83s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% 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 : Tue Jun 7 21:27:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 29.83/30.05 (* PROOF-FOUND *)
% 29.83/30.05 % SZS status Theorem
% 29.83/30.05 (* BEGIN-PROOF *)
% 29.83/30.05 % SZS output start Proof
% 29.83/30.05 Theorem g_surjection : (surjection (g)).
% 29.83/30.05 Proof.
% 29.83/30.05 apply NNPP. intro zenon_G.
% 29.83/30.05 generalize (properties_for_surjection (g)). zenon_intro zenon_H22.
% 29.83/30.05 generalize (zenon_H22 (b)). zenon_intro zenon_H23.
% 29.83/30.05 generalize (zenon_H23 (e)). zenon_intro zenon_H24.
% 29.83/30.05 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 29.83/30.05 apply (zenon_notand_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 29.83/30.05 exact (zenon_H28 g_morphism).
% 29.83/30.05 apply (zenon_notallex_s (fun ElCod : zenon_U => ((element ElCod (e))->(exists ElDom : zenon_U, ((element ElDom (b))/\((apply (g) ElDom) = ElCod))))) zenon_H27); [ zenon_intro zenon_H29; idtac ].
% 29.83/30.05 elim zenon_H29. zenon_intro zenon_TElCod_bq. zenon_intro zenon_H2b.
% 29.83/30.05 apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 29.83/30.05 generalize (subtract_in_domain (b)). zenon_intro zenon_H2e.
% 29.83/30.05 generalize (lemma12 zenon_TElCod_bq). zenon_intro zenon_H2f.
% 29.83/30.05 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ].
% 29.83/30.05 exact (zenon_H31 zenon_H2d).
% 29.83/30.05 elim zenon_H30. zenon_intro zenon_TB1_by. zenon_intro zenon_H33.
% 29.83/30.05 elim zenon_H33. zenon_intro zenon_TB2_ca. zenon_intro zenon_H35.
% 29.83/30.05 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 29.83/30.05 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38.
% 29.83/30.05 apply zenon_H2c. exists (subtract (b) zenon_TB1_by zenon_TB2_ca). apply NNPP. zenon_intro zenon_H3a.
% 29.83/30.05 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 29.83/30.05 generalize (zenon_H2e zenon_TB1_by). zenon_intro zenon_H3d.
% 29.83/30.05 generalize (zenon_H3d zenon_TB2_ca). zenon_intro zenon_H3e.
% 29.83/30.05 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 29.83/30.05 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 29.83/30.05 exact (zenon_H42 zenon_H37).
% 29.83/30.05 exact (zenon_H41 zenon_H39).
% 29.83/30.05 exact (zenon_H3c zenon_H3f).
% 29.83/30.05 exact (zenon_H3b zenon_H38).
% 29.83/30.05 exact (zenon_G zenon_H25).
% 29.83/30.05 Qed.
% 29.83/30.05 % SZS output end Proof
% 29.83/30.05 (* END-PROOF *)
% 29.83/30.05 nodes searched: 153843
% 29.83/30.05 max branch formulas: 13254
% 29.83/30.05 proof nodes created: 4147
% 29.83/30.05 formulas created: 1330553
% 29.83/30.05
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