TSTP Solution File: KRS170+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS170+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 03:39:40 EDT 2022
% Result : Theorem 0.19s 0.50s
% 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
% 0.11/0.12 % Problem : KRS170+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 15:04:05 EDT 2022
% 0.13/0.34 % 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 the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\((forall X : zenon_U, (forall Y : zenon_U, ((rhasLeader X Y)->(rhasHead X Y))))/\(forall X : zenon_U, (forall Y : zenon_U, ((rhasHead X Y)->(rhasLeader X Y))))))).
% 0.19/0.50 Proof.
% 0.19/0.50 apply NNPP. intro zenon_G.
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H5 | zenon_intro zenon_H4 ].
% 0.19/0.50 exact (zenon_H5 axiom_0).
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H4); [ zenon_intro zenon_H7 | zenon_intro zenon_H6 ].
% 0.19/0.50 exact (zenon_H7 axiom_1).
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H6); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ].
% 0.19/0.50 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, ((rhasLeader X Y)->(rhasHead X Y)))) zenon_H9); [ zenon_intro zenon_Ha; idtac ].
% 0.19/0.50 elim zenon_Ha. zenon_intro zenon_TX_l. zenon_intro zenon_Hc.
% 0.19/0.50 apply (zenon_notallex_s (fun Y : zenon_U => ((rhasLeader zenon_TX_l Y)->(rhasHead zenon_TX_l Y))) zenon_Hc); [ zenon_intro zenon_Hd; idtac ].
% 0.19/0.50 elim zenon_Hd. zenon_intro zenon_TY_o. zenon_intro zenon_Hf.
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_Hf). zenon_intro zenon_H11. zenon_intro zenon_H10.
% 0.19/0.50 generalize (axiom_2 zenon_TX_l). zenon_intro zenon_H12.
% 0.19/0.50 generalize (zenon_H12 zenon_TY_o). zenon_intro zenon_H13.
% 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H13); [ zenon_intro zenon_H15; zenon_intro zenon_H10 | zenon_intro zenon_H11; zenon_intro zenon_H14 ].
% 0.19/0.50 exact (zenon_H15 zenon_H11).
% 0.19/0.50 exact (zenon_H10 zenon_H14).
% 0.19/0.50 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, ((rhasHead X Y)->(rhasLeader X Y)))) zenon_H8); [ zenon_intro zenon_H16; idtac ].
% 0.19/0.50 elim zenon_H16. zenon_intro zenon_TX_x. zenon_intro zenon_H18.
% 0.19/0.50 apply (zenon_notallex_s (fun Y : zenon_U => ((rhasHead zenon_TX_x Y)->(rhasLeader zenon_TX_x Y))) zenon_H18); [ zenon_intro zenon_H19; idtac ].
% 0.19/0.50 elim zenon_H19. zenon_intro zenon_TY_ba. zenon_intro zenon_H1b.
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.19/0.50 generalize (axiom_2 zenon_TX_x). zenon_intro zenon_H1e.
% 0.19/0.50 generalize (zenon_H1e zenon_TY_ba). zenon_intro zenon_H1f.
% 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H1c; zenon_intro zenon_H21 | zenon_intro zenon_H20; zenon_intro zenon_H1d ].
% 0.19/0.50 exact (zenon_H21 zenon_H1d).
% 0.19/0.50 exact (zenon_H1c zenon_H20).
% 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: 22
% 0.19/0.50 max branch formulas: 10
% 0.19/0.50 proof nodes created: 19
% 0.19/0.50 formulas created: 190
% 0.19/0.50
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