TSTP Solution File: SWV389+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWV389+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n014.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 : Wed Jul 20 23:04:11 EDT 2022
% Result : Theorem 0.36s 0.54s
% Output : Proof 0.36s
% 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 : SWV389+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n014.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 : Wed Jun 15 13:16:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/0.54 Zenon warning: unused variable (X : zenon_U) in ax47
% 0.36/0.54 Zenon warning: unused variable (X : zenon_U) in ax48
% 0.36/0.54 Zenon warning: unused variable (X : zenon_U) in ax49
% 0.36/0.54 Zenon warning: unused variable (X : zenon_U) in ax51
% 0.36/0.54 (* PROOF-FOUND *)
% 0.36/0.54 % SZS status Theorem
% 0.36/0.54 (* BEGIN-PROOF *)
% 0.36/0.54 % SZS output start Proof
% 0.36/0.54 Theorem l25_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->((~(check_cpq (removemin_cpq_eff (triple U V W))))\/(~(ok (removemin_cpq_eff (triple U V W))))))))).
% 0.36/0.54 Proof.
% 0.36/0.54 apply NNPP. intro zenon_G.
% 0.36/0.54 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->((~(check_cpq (removemin_cpq_eff (triple U V W))))\/(~(ok (removemin_cpq_eff (triple U V W))))))))) zenon_G); [ zenon_intro zenon_H2b; idtac ].
% 0.36/0.54 elim zenon_H2b. zenon_intro zenon_TU_bs. zenon_intro zenon_H2d.
% 0.36/0.54 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, ((~(check_cpq (triple zenon_TU_bs V W)))->((~(check_cpq (removemin_cpq_eff (triple zenon_TU_bs V W))))\/(~(ok (removemin_cpq_eff (triple zenon_TU_bs V W)))))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 0.36/0.54 elim zenon_H2e. zenon_intro zenon_TV_bv. zenon_intro zenon_H30.
% 0.36/0.54 apply (zenon_notallex_s (fun W : zenon_U => ((~(check_cpq (triple zenon_TU_bs zenon_TV_bv W)))->((~(check_cpq (removemin_cpq_eff (triple zenon_TU_bs zenon_TV_bv W))))\/(~(ok (removemin_cpq_eff (triple zenon_TU_bs zenon_TV_bv W))))))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 0.36/0.54 elim zenon_H31. zenon_intro zenon_TW_by. zenon_intro zenon_H33.
% 0.36/0.54 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.36/0.54 apply (zenon_notor_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.36/0.54 apply zenon_H36. zenon_intro zenon_H38.
% 0.36/0.54 apply zenon_H37. zenon_intro zenon_H39.
% 0.36/0.54 generalize (l25_l40 zenon_TU_bs). zenon_intro zenon_H3a.
% 0.36/0.54 generalize (zenon_H3a zenon_TV_bv). zenon_intro zenon_H3b.
% 0.36/0.54 generalize (zenon_H3b zenon_TW_by). zenon_intro zenon_H3c.
% 0.36/0.54 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.36/0.54 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.36/0.54 exact (zenon_H40 zenon_H39).
% 0.36/0.54 exact (zenon_H3f zenon_H38).
% 0.36/0.54 exact (zenon_H35 zenon_H3d).
% 0.36/0.54 Qed.
% 0.36/0.54 % SZS output end Proof
% 0.36/0.54 (* END-PROOF *)
% 0.36/0.54 nodes searched: 560
% 0.36/0.54 max branch formulas: 437
% 0.36/0.54 proof nodes created: 30
% 0.36/0.54 formulas created: 5376
% 0.36/0.54
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