TSTP Solution File: LCL684+1.001 by Zenon---0.7.1
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- Process Solution
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% File : Zenon---0.7.1
% Problem : LCL684+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n020.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 16:24:02 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL684+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n020.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 : Sun Jul 3 03:35:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 (* PROOF-FOUND *)
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 (* BEGIN-PROOF *)
% 0.19/0.49 % SZS output start Proof
% 0.19/0.49 Theorem main : (~(exists X : zenon_U, (~((~(forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(~((p201 X)/\(p101 X))))))))\/(~((p201 X)/\(p101 X))))))).
% 0.19/0.49 Proof.
% 0.19/0.49 apply NNPP. intro zenon_G.
% 0.19/0.49 apply zenon_G. zenon_intro zenon_H3.
% 0.19/0.49 elim zenon_H3. zenon_intro zenon_TX_e. zenon_intro zenon_H5.
% 0.19/0.49 apply (zenon_notor_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.19/0.49 apply zenon_H6. zenon_intro zenon_H8.
% 0.19/0.49 apply (zenon_and_s _ _ zenon_H8). zenon_intro zenon_Ha. zenon_intro zenon_H9.
% 0.19/0.49 apply zenon_H7. zenon_intro zenon_Hb.
% 0.19/0.49 generalize (zenon_Hb zenon_TX_e). zenon_intro zenon_Hc.
% 0.19/0.49 apply (zenon_or_s _ _ zenon_Hc); [ zenon_intro zenon_He | zenon_intro zenon_Hd ].
% 0.19/0.49 generalize (reflexivity zenon_TX_e). zenon_intro zenon_Hf.
% 0.19/0.49 exact (zenon_He zenon_Hf).
% 0.19/0.49 generalize (zenon_Hd zenon_TX_e). zenon_intro zenon_H10.
% 0.19/0.49 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_He | zenon_intro zenon_H11 ].
% 0.19/0.49 generalize (reflexivity zenon_TX_e). zenon_intro zenon_Hf.
% 0.19/0.49 exact (zenon_He zenon_Hf).
% 0.19/0.49 apply (zenon_notand_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ].
% 0.19/0.49 exact (zenon_H13 zenon_Ha).
% 0.19/0.49 exact (zenon_H12 zenon_H9).
% 0.19/0.49 Qed.
% 0.19/0.49 % SZS output end Proof
% 0.19/0.49 (* END-PROOF *)
% 0.19/0.49 nodes searched: 23
% 0.19/0.49 max branch formulas: 21
% 0.19/0.49 proof nodes created: 12
% 0.19/0.49 formulas created: 164
% 0.19/0.49
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