TSTP Solution File: KRS165+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS165+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n021.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 03:39:39 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS165+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 7 19:25:21 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 (* PROOF-FOUND *)
% 0.21/0.51 % SZS status Theorem
% 0.21/0.51 (* BEGIN-PROOF *)
% 0.21/0.51 % SZS output start Proof
% 0.21/0.51 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, ((cAutomobile X)->(cCar X)))/\(forall X : zenon_U, ((cCar X)->(cAutomobile X)))))).
% 0.21/0.51 Proof.
% 0.21/0.51 apply NNPP. intro zenon_G.
% 0.21/0.51 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H5 | zenon_intro zenon_H4 ].
% 0.21/0.51 exact (zenon_H5 axiom_0).
% 0.21/0.51 apply (zenon_notand_s _ _ zenon_H4); [ zenon_intro zenon_H7 | zenon_intro zenon_H6 ].
% 0.21/0.51 exact (zenon_H7 axiom_1).
% 0.21/0.51 apply (zenon_notand_s _ _ zenon_H6); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ].
% 0.21/0.51 apply (zenon_notallex_s (fun X : zenon_U => ((cAutomobile X)->(cCar X))) zenon_H9); [ zenon_intro zenon_Ha; idtac ].
% 0.21/0.51 elim zenon_Ha. zenon_intro zenon_TX_l. zenon_intro zenon_Hc.
% 0.21/0.51 apply (zenon_notimply_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.21/0.51 generalize (axiom_2 zenon_TX_l). zenon_intro zenon_Hf.
% 0.21/0.51 apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_Hd; zenon_intro zenon_H11 | zenon_intro zenon_H10; zenon_intro zenon_He ].
% 0.21/0.51 exact (zenon_H11 zenon_He).
% 0.21/0.51 exact (zenon_Hd zenon_H10).
% 0.21/0.51 apply (zenon_notallex_s (fun X : zenon_U => ((cCar X)->(cAutomobile X))) zenon_H8); [ zenon_intro zenon_H12; idtac ].
% 0.21/0.51 elim zenon_H12. zenon_intro zenon_TX_t. zenon_intro zenon_H14.
% 0.21/0.51 apply (zenon_notimply_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 0.21/0.51 generalize (axiom_2 zenon_TX_t). zenon_intro zenon_H17.
% 0.21/0.51 apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H19; zenon_intro zenon_H15 | zenon_intro zenon_H16; zenon_intro zenon_H18 ].
% 0.21/0.51 exact (zenon_H19 zenon_H16).
% 0.21/0.51 exact (zenon_H15 zenon_H18).
% 0.21/0.51 Qed.
% 0.21/0.51 % SZS output end Proof
% 0.21/0.51 (* END-PROOF *)
% 0.21/0.51 nodes searched: 20
% 0.21/0.51 max branch formulas: 9
% 0.21/0.51 proof nodes created: 17
% 0.21/0.51 formulas created: 154
% 0.21/0.51
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