TSTP Solution File: SET108+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SET108+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n022.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 : Tue Jul 19 06:34:03 EDT 2022
% Result : Theorem 32.66s 32.88s
% Output : Proof 32.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET108+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 09:42:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 32.66/32.88 (* PROOF-FOUND *)
% 32.66/32.88 % SZS status Theorem
% 32.66/32.88 (* BEGIN-PROOF *)
% 32.66/32.88 % SZS output start Proof
% 32.66/32.88 Theorem existence_of_first_and_second : (forall X : zenon_U, (exists U : zenon_U, (exists V : zenon_U, (((member U (universal_class))/\((member V (universal_class))/\(X = (ordered_pair U V))))\/((~(exists Y : zenon_U, (exists Z : zenon_U, ((member Y (universal_class))/\((member Z (universal_class))/\(X = (ordered_pair Y Z)))))))/\((U = X)/\(V = X))))))).
% 32.66/32.88 Proof.
% 32.66/32.88 assert (zenon_L1_ : forall (zenon_TX_bu : zenon_U), (exists Y : zenon_U, (exists Z : zenon_U, ((member Y (universal_class))/\((member Z (universal_class))/\(zenon_TX_bu = (ordered_pair Y Z)))))) -> (~(exists U : zenon_U, (exists V : zenon_U, (((member U (universal_class))/\((member V (universal_class))/\(zenon_TX_bu = (ordered_pair U V))))\/((~(exists Y : zenon_U, (exists Z : zenon_U, ((member Y (universal_class))/\((member Z (universal_class))/\(zenon_TX_bu = (ordered_pair Y Z)))))))/\((U = zenon_TX_bu)/\(V = zenon_TX_bu))))))) -> False).
% 32.66/32.88 do 1 intro. intros zenon_H2c zenon_H2d.
% 32.66/32.88 elim zenon_H2c. zenon_intro zenon_TY_bv. zenon_intro zenon_H30.
% 32.66/32.88 elim zenon_H30. zenon_intro zenon_TZ_bx. zenon_intro zenon_H32.
% 32.66/32.88 apply zenon_H2d. exists zenon_TY_bv. apply NNPP. zenon_intro zenon_H33.
% 32.66/32.88 apply zenon_H33. exists zenon_TZ_bx. apply NNPP. zenon_intro zenon_H34.
% 32.66/32.88 apply (zenon_notor_s _ _ zenon_H34). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 32.66/32.88 exact (zenon_H36 zenon_H32).
% 32.66/32.88 (* end of lemma zenon_L1_ *)
% 32.66/32.88 apply NNPP. intro zenon_G.
% 32.66/32.88 apply (zenon_notallex_s (fun X : zenon_U => (exists U : zenon_U, (exists V : zenon_U, (((member U (universal_class))/\((member V (universal_class))/\(X = (ordered_pair U V))))\/((~(exists Y : zenon_U, (exists Z : zenon_U, ((member Y (universal_class))/\((member Z (universal_class))/\(X = (ordered_pair Y Z)))))))/\((U = X)/\(V = X))))))) zenon_G); [ zenon_intro zenon_H37; idtac ].
% 32.66/32.88 elim zenon_H37. zenon_intro zenon_TX_bu. zenon_intro zenon_H2d.
% 32.66/32.88 apply zenon_H2d. exists zenon_TX_bu. apply NNPP. zenon_intro zenon_H38.
% 32.66/32.88 apply zenon_H38. exists zenon_TX_bu. apply NNPP. zenon_intro zenon_H39.
% 32.66/32.88 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3b. zenon_intro zenon_H3a.
% 32.66/32.88 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 32.66/32.88 apply zenon_H3d. zenon_intro zenon_H2c.
% 32.66/32.88 apply (zenon_L1_ zenon_TX_bu); trivial.
% 32.66/32.88 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3e ].
% 32.66/32.88 apply zenon_H3e. apply refl_equal.
% 32.66/32.88 apply zenon_H3e. apply refl_equal.
% 32.66/32.88 Qed.
% 32.66/32.88 % SZS output end Proof
% 32.66/32.88 (* END-PROOF *)
% 32.66/32.88 nodes searched: 1199444
% 32.66/32.88 max branch formulas: 40952
% 32.66/32.88 proof nodes created: 39330
% 32.66/32.88 formulas created: 4029965
% 32.66/32.88
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