TSTP Solution File: LCL682+1.001 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n008.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 : Sun Jul 17 16:23:59 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run_zenon %s %d
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 3 01:01:08 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 (* PROOF-FOUND *)
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 (* BEGIN-PROOF *)
% 0.20/0.51 % SZS output start Proof
% 0.20/0.51 Theorem main : (~(exists X : zenon_U, (~((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p16 X))))\/((~(forall X : zenon_U, ((~(r1 Y X))\/(p12 X))))\/((~(forall X : zenon_U, ((~(r1 Y X))\/(p14 X))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p12 X)))))))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(p13 X)))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(p12 X)))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(p11 X)))))))))))).
% 0.20/0.51 Proof.
% 0.20/0.51 apply NNPP. intro zenon_G.
% 0.20/0.51 apply zenon_G. zenon_intro zenon_H3.
% 0.20/0.51 elim zenon_H3. zenon_intro zenon_TX_e. zenon_intro zenon_H5.
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.20/0.51 apply zenon_H7. zenon_intro zenon_He.
% 0.20/0.51 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_e Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(p12 X))))) zenon_Hd); [ zenon_intro zenon_Hf; idtac ].
% 0.20/0.51 elim zenon_Hf. zenon_intro zenon_TY_q. zenon_intro zenon_H11.
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 0.20/0.51 apply zenon_H13. zenon_intro zenon_H14.
% 0.20/0.51 generalize (zenon_He zenon_TY_q). zenon_intro zenon_H15.
% 0.20/0.51 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.20/0.51 exact (zenon_H17 zenon_H14).
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.20/0.51 exact (zenon_H1b zenon_H12).
% 0.20/0.51 Qed.
% 0.20/0.51 % SZS output end Proof
% 0.20/0.51 (* END-PROOF *)
% 0.20/0.51 nodes searched: 84
% 0.20/0.51 max branch formulas: 96
% 0.20/0.51 proof nodes created: 16
% 0.20/0.51 formulas created: 541
% 0.20/0.51
%------------------------------------------------------------------------------