TSTP Solution File: SEU198+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SEU198+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n032.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 16:00:10 EDT 2022
% Result : Theorem 0.15s 0.41s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU198+1 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.11 % Command : run_zenon %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sun Jun 19 21:21:33 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.41 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.15/0.41 (* PROOF-FOUND *)
% 0.15/0.41 % SZS status Theorem
% 0.15/0.41 (* BEGIN-PROOF *)
% 0.15/0.41 % SZS output start Proof
% 0.15/0.41 Theorem t116_relat_1 : (forall A : zenon_U, (forall B : zenon_U, ((relation B)->(subset (relation_rng (relation_rng_restriction A B)) A)))).
% 0.15/0.41 Proof.
% 0.15/0.41 apply NNPP. intro zenon_G.
% 0.15/0.41 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((relation B)->(subset (relation_rng (relation_rng_restriction A B)) A)))) zenon_G); [ zenon_intro zenon_H1c; idtac ].
% 0.15/0.41 elim zenon_H1c. zenon_intro zenon_TA_bd. zenon_intro zenon_H1e.
% 0.15/0.41 apply (zenon_notallex_s (fun B : zenon_U => ((relation B)->(subset (relation_rng (relation_rng_restriction zenon_TA_bd B)) zenon_TA_bd))) zenon_H1e); [ zenon_intro zenon_H1f; idtac ].
% 0.15/0.41 elim zenon_H1f. zenon_intro zenon_TB_bg. zenon_intro zenon_H21.
% 0.15/0.41 apply (zenon_notimply_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 0.15/0.41 generalize (d3_tarski (relation_rng (relation_rng_restriction zenon_TA_bd zenon_TB_bg))). zenon_intro zenon_H24.
% 0.15/0.41 generalize (zenon_H24 zenon_TA_bd). zenon_intro zenon_H25.
% 0.15/0.41 apply (zenon_equiv_s _ _ zenon_H25); [ zenon_intro zenon_H22; zenon_intro zenon_H28 | zenon_intro zenon_H27; zenon_intro zenon_H26 ].
% 0.15/0.41 apply (zenon_notallex_s (fun C : zenon_U => ((in C (relation_rng (relation_rng_restriction zenon_TA_bd zenon_TB_bg)))->(in C zenon_TA_bd))) zenon_H28); [ zenon_intro zenon_H29; idtac ].
% 0.15/0.41 elim zenon_H29. zenon_intro zenon_TC_bq. zenon_intro zenon_H2b.
% 0.15/0.41 apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 0.15/0.41 generalize (t115_relat_1 zenon_TC_bq). zenon_intro zenon_H2e.
% 0.15/0.41 generalize (zenon_H2e zenon_TA_bd). zenon_intro zenon_H2f.
% 0.15/0.41 generalize (zenon_H2f zenon_TB_bg). zenon_intro zenon_H30.
% 0.15/0.41 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.15/0.41 exact (zenon_H32 zenon_H23).
% 0.15/0.41 apply (zenon_equiv_s _ _ zenon_H31); [ zenon_intro zenon_H35; zenon_intro zenon_H34 | zenon_intro zenon_H2d; zenon_intro zenon_H33 ].
% 0.15/0.41 exact (zenon_H35 zenon_H2d).
% 0.15/0.41 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.15/0.41 exact (zenon_H2c zenon_H37).
% 0.15/0.41 exact (zenon_H22 zenon_H27).
% 0.15/0.41 Qed.
% 0.15/0.41 % SZS output end Proof
% 0.15/0.41 (* END-PROOF *)
% 0.15/0.41 nodes searched: 229
% 0.15/0.41 max branch formulas: 243
% 0.15/0.41 proof nodes created: 23
% 0.15/0.41 formulas created: 1866
% 0.15/0.41
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