TSTP Solution File: SEU200+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n009.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 16:00:11 EDT 2022
% Result : Theorem 0.38s 0.55s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.14 % Command : run_zenon %s %d
% 0.14/0.36 % Computer : n009.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 : Mon Jun 20 13:34:07 EDT 2022
% 0.22/0.36 % CPUTime :
% 0.38/0.55 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.38/0.55 (* PROOF-FOUND *)
% 0.38/0.55 % SZS status Theorem
% 0.38/0.55 (* BEGIN-PROOF *)
% 0.38/0.55 % SZS output start Proof
% 0.38/0.55 Theorem t118_relat_1 : (forall A : zenon_U, (forall B : zenon_U, ((relation B)->(subset (relation_rng (relation_rng_restriction A B)) (relation_rng B))))).
% 0.38/0.55 Proof.
% 0.38/0.55 apply NNPP. intro zenon_G.
% 0.38/0.55 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((relation B)->(subset (relation_rng (relation_rng_restriction A B)) (relation_rng B))))) zenon_G); [ zenon_intro zenon_H1e; idtac ].
% 0.38/0.55 elim zenon_H1e. zenon_intro zenon_TA_bf. zenon_intro zenon_H20.
% 0.38/0.55 apply (zenon_notallex_s (fun B : zenon_U => ((relation B)->(subset (relation_rng (relation_rng_restriction zenon_TA_bf B)) (relation_rng B)))) zenon_H20); [ zenon_intro zenon_H21; idtac ].
% 0.38/0.55 elim zenon_H21. zenon_intro zenon_TB_bi. zenon_intro zenon_H23.
% 0.38/0.55 apply (zenon_notimply_s _ _ zenon_H23). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 0.38/0.55 generalize (t25_relat_1 (relation_rng_restriction zenon_TA_bf zenon_TB_bi)). zenon_intro zenon_H26.
% 0.38/0.55 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.38/0.55 generalize (dt_k8_relat_1 zenon_TA_bf). zenon_intro zenon_H29.
% 0.38/0.55 generalize (zenon_H29 zenon_TB_bi). zenon_intro zenon_H2a.
% 0.38/0.55 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 0.38/0.55 exact (zenon_H2c zenon_H25).
% 0.38/0.55 exact (zenon_H28 zenon_H2b).
% 0.38/0.55 generalize (zenon_H27 zenon_TB_bi). zenon_intro zenon_H2d.
% 0.38/0.55 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ].
% 0.38/0.55 exact (zenon_H2c zenon_H25).
% 0.38/0.55 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.38/0.55 generalize (t117_relat_1 zenon_TA_bf). zenon_intro zenon_H31.
% 0.38/0.55 generalize (zenon_H31 zenon_TB_bi). zenon_intro zenon_H32.
% 0.38/0.55 apply (zenon_imply_s _ _ zenon_H32); [ zenon_intro zenon_H2c | zenon_intro zenon_H33 ].
% 0.38/0.55 exact (zenon_H2c zenon_H25).
% 0.38/0.55 exact (zenon_H30 zenon_H33).
% 0.38/0.55 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.38/0.55 exact (zenon_H24 zenon_H34).
% 0.38/0.55 Qed.
% 0.38/0.55 % SZS output end Proof
% 0.38/0.55 (* END-PROOF *)
% 0.38/0.55 nodes searched: 196
% 0.38/0.55 max branch formulas: 207
% 0.38/0.55 proof nodes created: 26
% 0.38/0.55 formulas created: 1432
% 0.38/0.55
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