TSTP Solution File: SEU044+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n017.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 : Tue Jul 19 15:59:08 EDT 2022
% Result : Theorem 17.24s 17.42s
% Output : Proof 17.24s
% 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 : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 19:53:27 EDT 2022
% 0.13/0.33 % CPUTime :
% 17.24/17.42 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 17.24/17.42 (* PROOF-FOUND *)
% 17.24/17.42 % SZS status Theorem
% 17.24/17.42 (* BEGIN-PROOF *)
% 17.24/17.42 % SZS output start Proof
% 17.24/17.42 Theorem t86_funct_1 : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (((relation C)/\(function C))->((in B (relation_dom (relation_rng_restriction A C)))<->((in B (relation_dom C))/\(in (apply C B) A))))))).
% 17.24/17.42 Proof.
% 17.24/17.42 assert (zenon_L1_ : forall (zenon_TC_bk : zenon_U) (zenon_TA_bl : zenon_U), (~(relation (relation_rng_restriction zenon_TA_bl zenon_TC_bk))) -> (relation zenon_TC_bk) -> False).
% 17.24/17.42 do 2 intro. intros zenon_H22 zenon_H23.
% 17.24/17.42 generalize (dt_k8_relat_1 zenon_TA_bl). zenon_intro zenon_H26.
% 17.24/17.42 generalize (zenon_H26 zenon_TC_bk). zenon_intro zenon_H27.
% 17.24/17.42 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 17.24/17.42 exact (zenon_H29 zenon_H23).
% 17.24/17.42 exact (zenon_H22 zenon_H28).
% 17.24/17.42 (* end of lemma zenon_L1_ *)
% 17.24/17.42 assert (zenon_L2_ : forall (zenon_TC_bk : zenon_U) (zenon_TA_bl : zenon_U), (~(function (relation_rng_restriction zenon_TA_bl zenon_TC_bk))) -> (function zenon_TC_bk) -> (relation zenon_TC_bk) -> False).
% 17.24/17.42 do 2 intro. intros zenon_H2a zenon_H2b zenon_H23.
% 17.24/17.42 generalize (fc5_funct_1 zenon_TA_bl). zenon_intro zenon_H2c.
% 17.24/17.42 generalize (zenon_H2c zenon_TC_bk). zenon_intro zenon_H2d.
% 17.24/17.42 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ].
% 17.24/17.42 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H29 | zenon_intro zenon_H30 ].
% 17.24/17.42 exact (zenon_H29 zenon_H23).
% 17.24/17.42 exact (zenon_H30 zenon_H2b).
% 17.24/17.42 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H28. zenon_intro zenon_H31.
% 17.24/17.42 exact (zenon_H2a zenon_H31).
% 17.24/17.42 (* end of lemma zenon_L2_ *)
% 17.24/17.42 apply NNPP. intro zenon_G.
% 17.24/17.42 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (((relation C)/\(function C))->((in B (relation_dom (relation_rng_restriction A C)))<->((in B (relation_dom C))/\(in (apply C B) A))))))) zenon_G); [ zenon_intro zenon_H32; idtac ].
% 17.24/17.42 elim zenon_H32. zenon_intro zenon_TA_bl. zenon_intro zenon_H33.
% 17.24/17.42 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (((relation C)/\(function C))->((in B (relation_dom (relation_rng_restriction zenon_TA_bl C)))<->((in B (relation_dom C))/\(in (apply C B) zenon_TA_bl)))))) zenon_H33); [ zenon_intro zenon_H34; idtac ].
% 17.24/17.42 elim zenon_H34. zenon_intro zenon_TB_cb. zenon_intro zenon_H36.
% 17.24/17.42 apply (zenon_notallex_s (fun C : zenon_U => (((relation C)/\(function C))->((in zenon_TB_cb (relation_dom (relation_rng_restriction zenon_TA_bl C)))<->((in zenon_TB_cb (relation_dom C))/\(in (apply C zenon_TB_cb) zenon_TA_bl))))) zenon_H36); [ zenon_intro zenon_H37; idtac ].
% 17.24/17.42 elim zenon_H37. zenon_intro zenon_TC_bk. zenon_intro zenon_H38.
% 17.24/17.42 apply (zenon_notimply_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39.
% 17.24/17.42 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H23. zenon_intro zenon_H2b.
% 17.24/17.42 generalize (t85_funct_1 zenon_TA_bl). zenon_intro zenon_H3b.
% 17.24/17.42 generalize (zenon_H3b (relation_rng_restriction zenon_TA_bl zenon_TC_bk)). zenon_intro zenon_H3c.
% 17.24/17.42 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 17.24/17.42 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H22 | zenon_intro zenon_H2a ].
% 17.24/17.42 apply (zenon_L1_ zenon_TC_bk zenon_TA_bl); trivial.
% 17.24/17.42 apply (zenon_L2_ zenon_TC_bk zenon_TA_bl); trivial.
% 17.24/17.42 generalize (zenon_H3d zenon_TC_bk). zenon_intro zenon_H3f.
% 17.24/17.42 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H2f | zenon_intro zenon_H40 ].
% 17.24/17.42 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H29 | zenon_intro zenon_H30 ].
% 17.24/17.42 exact (zenon_H29 zenon_H23).
% 17.24/17.42 exact (zenon_H30 zenon_H2b).
% 17.24/17.42 apply (zenon_equiv_s _ _ zenon_H40); [ zenon_intro zenon_H44; zenon_intro zenon_H43 | zenon_intro zenon_H42; zenon_intro zenon_H41 ].
% 17.24/17.42 apply zenon_H44. apply refl_equal.
% 17.24/17.42 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H46. zenon_intro zenon_H45.
% 17.24/17.42 generalize (zenon_H46 zenon_TB_cb). zenon_intro zenon_H47.
% 17.24/17.42 exact (zenon_H39 zenon_H47).
% 17.24/17.42 Qed.
% 17.24/17.42 % SZS output end Proof
% 17.24/17.42 (* END-PROOF *)
% 17.24/17.42 nodes searched: 208111
% 17.24/17.42 max branch formulas: 13321
% 17.24/17.42 proof nodes created: 10346
% 17.24/17.42 formulas created: 942668
% 17.24/17.42
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