TSTP Solution File: RNG088+2 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : RNG088+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n027.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 : Mon Jul 18 20:48:26 EDT 2022
% Result : Theorem 0.34s 0.52s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG088+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon May 30 08:27:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.34/0.52 (* PROOF-FOUND *)
% 0.34/0.52 % SZS status Theorem
% 0.34/0.52 (* BEGIN-PROOF *)
% 0.34/0.52 % SZS output start Proof
% 0.34/0.52 Theorem m__ : ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI))/\(aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))).
% 0.34/0.52 Proof.
% 0.34/0.52 apply NNPP. intro zenon_G.
% 0.34/0.52 apply (zenon_and_s _ _ m__870). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.34/0.52 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 0.34/0.52 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21.
% 0.34/0.52 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.34/0.52 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 0.34/0.52 apply (zenon_and_s _ _ m__934). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 0.34/0.52 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.34/0.52 apply (zenon_and_s _ _ m__967). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 0.34/0.52 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.34/0.52 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.34/0.52 generalize (zenon_H20 (xk)). zenon_intro zenon_H31.
% 0.34/0.52 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.34/0.52 exact (zenon_H33 zenon_H28).
% 0.34/0.52 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.34/0.52 generalize (zenon_H35 (xm)). zenon_intro zenon_H36.
% 0.34/0.52 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 0.34/0.52 exact (zenon_H38 zenon_H2c).
% 0.34/0.52 exact (zenon_H30 zenon_H37).
% 0.34/0.52 generalize (zenon_H26 (xl)). zenon_intro zenon_H39.
% 0.34/0.52 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 0.34/0.52 exact (zenon_H3b zenon_H2a).
% 0.34/0.52 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 0.34/0.52 generalize (zenon_H3d (xn)). zenon_intro zenon_H3e.
% 0.34/0.52 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.34/0.52 exact (zenon_H40 zenon_H2e).
% 0.34/0.52 exact (zenon_H2f zenon_H3f).
% 0.34/0.52 Qed.
% 0.34/0.52 % SZS output end Proof
% 0.34/0.52 (* END-PROOF *)
% 0.34/0.52 nodes searched: 488
% 0.34/0.52 max branch formulas: 259
% 0.34/0.52 proof nodes created: 25
% 0.34/0.52 formulas created: 4341
% 0.34/0.52
%------------------------------------------------------------------------------