TSTP Solution File: SYN071+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n025.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 : Thu Jul 21 13:49:23 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 16:09:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.50 (* PROOF-FOUND *)
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 (* BEGIN-PROOF *)
% 0.19/0.50 % SZS output start Proof
% 0.19/0.50 Theorem pel48 : (((a) = (d))\/((b) = (c))).
% 0.19/0.50 Proof.
% 0.19/0.50 assert (zenon_L1_ : (~((a) = (a))) -> False).
% 0.19/0.50 do 0 intro. intros zenon_H3.
% 0.19/0.50 apply zenon_H3. apply refl_equal.
% 0.19/0.50 (* end of lemma zenon_L1_ *)
% 0.19/0.50 assert (zenon_L2_ : (~((c) = (c))) -> False).
% 0.19/0.50 do 0 intro. intros zenon_H4.
% 0.19/0.50 apply zenon_H4. apply refl_equal.
% 0.19/0.50 (* end of lemma zenon_L2_ *)
% 0.19/0.50 apply NNPP. intro zenon_G.
% 0.19/0.50 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H6. zenon_intro zenon_H5.
% 0.19/0.50 apply (zenon_or_s _ _ pel48_1); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ].
% 0.19/0.50 apply (zenon_or_s _ _ pel48_2); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ].
% 0.19/0.50 elim (classic ((c) = (c))); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ].
% 0.19/0.50 cut (((c) = (c)) = ((b) = (c))).
% 0.19/0.50 intro zenon_D_pnotp.
% 0.19/0.50 apply zenon_H5.
% 0.19/0.50 rewrite <- zenon_D_pnotp.
% 0.19/0.50 exact zenon_Hb.
% 0.19/0.50 cut (((c) = (c))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.19/0.50 cut (((c) = (b))); [idtac | apply NNPP; zenon_intro zenon_Hc].
% 0.19/0.50 congruence.
% 0.19/0.50 cut (((a) = (b)) = ((c) = (b))).
% 0.19/0.50 intro zenon_D_pnotp.
% 0.19/0.50 apply zenon_Hc.
% 0.19/0.50 rewrite <- zenon_D_pnotp.
% 0.19/0.50 exact zenon_H8.
% 0.19/0.50 cut (((b) = (b))); [idtac | apply NNPP; zenon_intro zenon_Hd].
% 0.19/0.50 cut (((a) = (c))); [idtac | apply NNPP; zenon_intro zenon_He].
% 0.19/0.50 congruence.
% 0.19/0.50 exact (zenon_He zenon_Ha).
% 0.19/0.50 apply zenon_Hd. apply refl_equal.
% 0.19/0.50 apply zenon_H4. apply refl_equal.
% 0.19/0.50 apply zenon_H4. apply refl_equal.
% 0.19/0.50 cut (((a) = (b)) = ((a) = (d))).
% 0.19/0.50 intro zenon_D_pnotp.
% 0.19/0.50 apply zenon_H6.
% 0.19/0.50 rewrite <- zenon_D_pnotp.
% 0.19/0.50 exact zenon_H8.
% 0.19/0.50 cut (((b) = (d))); [idtac | apply NNPP; zenon_intro zenon_Hf].
% 0.19/0.50 cut (((a) = (a))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 0.19/0.50 congruence.
% 0.19/0.50 apply zenon_H3. apply refl_equal.
% 0.19/0.50 exact (zenon_Hf zenon_H9).
% 0.19/0.50 apply (zenon_or_s _ _ pel48_2); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ].
% 0.19/0.50 cut (((c) = (d)) = ((a) = (d))).
% 0.19/0.50 intro zenon_D_pnotp.
% 0.19/0.50 apply zenon_H6.
% 0.19/0.50 rewrite <- zenon_D_pnotp.
% 0.19/0.50 exact zenon_H7.
% 0.19/0.50 cut (((d) = (d))); [idtac | apply NNPP; zenon_intro zenon_H10].
% 0.19/0.50 cut (((c) = (a))); [idtac | apply NNPP; zenon_intro zenon_H11].
% 0.19/0.50 congruence.
% 0.19/0.50 elim (classic ((a) = (a))); [ zenon_intro zenon_H12 | zenon_intro zenon_H3 ].
% 0.19/0.50 cut (((a) = (a)) = ((c) = (a))).
% 0.19/0.50 intro zenon_D_pnotp.
% 0.19/0.50 apply zenon_H11.
% 0.19/0.50 rewrite <- zenon_D_pnotp.
% 0.19/0.50 exact zenon_H12.
% 0.19/0.50 cut (((a) = (a))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 0.19/0.50 cut (((a) = (c))); [idtac | apply NNPP; zenon_intro zenon_He].
% 0.19/0.50 congruence.
% 0.19/0.50 exact (zenon_He zenon_Ha).
% 0.19/0.50 apply zenon_H3. apply refl_equal.
% 0.19/0.50 apply zenon_H3. apply refl_equal.
% 0.19/0.50 apply zenon_H10. apply refl_equal.
% 0.19/0.50 elim (classic ((c) = (c))); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ].
% 0.19/0.50 cut (((c) = (c)) = ((b) = (c))).
% 0.19/0.50 intro zenon_D_pnotp.
% 0.19/0.50 apply zenon_H5.
% 0.19/0.50 rewrite <- zenon_D_pnotp.
% 0.19/0.50 exact zenon_Hb.
% 0.19/0.50 cut (((c) = (c))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.19/0.50 cut (((c) = (b))); [idtac | apply NNPP; zenon_intro zenon_Hc].
% 0.19/0.50 congruence.
% 0.19/0.50 cut (((c) = (d)) = ((c) = (b))).
% 0.19/0.50 intro zenon_D_pnotp.
% 0.19/0.50 apply zenon_Hc.
% 0.19/0.50 rewrite <- zenon_D_pnotp.
% 0.19/0.50 exact zenon_H7.
% 0.19/0.50 cut (((d) = (b))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 0.19/0.50 cut (((c) = (c))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 0.19/0.50 congruence.
% 0.19/0.50 apply zenon_H4. apply refl_equal.
% 0.19/0.50 apply zenon_H13. apply sym_equal. exact zenon_H9.
% 0.19/0.50 apply zenon_H4. apply refl_equal.
% 0.19/0.50 apply zenon_H4. apply refl_equal.
% 0.19/0.50 Qed.
% 0.19/0.50 % SZS output end Proof
% 0.19/0.50 (* END-PROOF *)
% 0.19/0.50 nodes searched: 20
% 0.19/0.50 max branch formulas: 10
% 0.19/0.50 proof nodes created: 18
% 0.19/0.50 formulas created: 96
% 0.19/0.50
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