TSTP Solution File: KRS155+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS155+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n018.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 03:39:37 EDT 2022
% Result : Theorem 0.39s 0.55s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS155+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 14:53:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.39/0.55 (* PROOF-FOUND *)
% 0.39/0.55 % SZS status Theorem
% 0.39/0.55 (* BEGIN-PROOF *)
% 0.39/0.55 % SZS output start Proof
% 0.39/0.55 Theorem the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\((cC20 (iV8467))/\((cC4 (iV8467))/\((cC8 (iV8467))/\((cC82 (iV8467))/\((cC62 (iV8467))/\((cC14 (iV8467))/\((cC34 (iV8467))/\((cC10 (iV8467))/\((cowlThing (iV8467))/\((cC48 (iV8467))/\((cowlThing (iV8471))/\((cC80 (iV8471))/\((cC58 (iV8472))/\((cC60 (iV8472))/\(cowlThing (iV8472)))))))))))))))))).
% 0.39/0.55 Proof.
% 0.39/0.55 assert (zenon_L1_ : (~(exists Y : zenon_U, ((rR1 (iV8467) Y)/\(cC2xcomp Y)))) -> (~(exists Y0 : zenon_U, (ra_Px3 (iV8473) Y0))) -> False).
% 0.39/0.55 do 0 intro. intros zenon_H87 zenon_H88.
% 0.39/0.55 apply zenon_H87. exists (iV8473). apply NNPP. zenon_intro zenon_H89.
% 0.39/0.55 apply (zenon_notand_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ].
% 0.39/0.55 exact (zenon_H8b axiom_108).
% 0.39/0.55 generalize (axiom_12 (iV8473)). zenon_intro zenon_H8c.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_H8c); [ zenon_intro zenon_H8a; zenon_intro zenon_H8d | zenon_intro axiom_125; zenon_intro zenon_H88 ].
% 0.39/0.55 exact (zenon_H8d zenon_H88).
% 0.39/0.55 exact (zenon_H8a axiom_125).
% 0.39/0.55 (* end of lemma zenon_L1_ *)
% 0.39/0.55 assert (zenon_L2_ : (~(exists Y0 : zenon_U, (ra_Px3 (iV8473) Y0))) -> (~(cC4 (iV8467))) -> False).
% 0.39/0.55 do 0 intro. intros zenon_H88 zenon_H8e.
% 0.39/0.55 generalize (axiom_35 (iV8467)). zenon_intro zenon_H8f.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_H8f); [ zenon_intro zenon_H8e; zenon_intro zenon_H87 | zenon_intro zenon_H91; zenon_intro zenon_H90 ].
% 0.39/0.55 apply (zenon_L1_); trivial.
% 0.39/0.55 exact (zenon_H8e zenon_H91).
% 0.39/0.55 (* end of lemma zenon_L2_ *)
% 0.39/0.55 assert (zenon_L3_ : (exists Y : zenon_U, (ra_Px28 (iV8469) Y)) -> (~(cC8 (iV8467))) -> False).
% 0.39/0.55 do 0 intro. intros zenon_H92 zenon_H93.
% 0.39/0.55 generalize (axiom_79 (iV8467)). zenon_intro zenon_H94.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_H94); [ zenon_intro zenon_H93; zenon_intro zenon_H97 | zenon_intro zenon_H96; zenon_intro zenon_H95 ].
% 0.39/0.55 apply zenon_H97. exists (iV8469). apply NNPP. zenon_intro zenon_H98.
% 0.39/0.55 apply (zenon_notand_s _ _ zenon_H98); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 0.39/0.55 exact (zenon_H9a axiom_105).
% 0.39/0.55 generalize (axiom_60 (iV8469)). zenon_intro zenon_H9b.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_H9b); [ zenon_intro zenon_H99; zenon_intro zenon_H9c | zenon_intro axiom_113; zenon_intro zenon_H92 ].
% 0.39/0.55 exact (zenon_H9c zenon_H92).
% 0.39/0.55 exact (zenon_H99 axiom_113).
% 0.39/0.55 exact (zenon_H93 zenon_H96).
% 0.39/0.55 (* end of lemma zenon_L3_ *)
% 0.39/0.55 assert (zenon_L4_ : (~(exists Y0 : zenon_U, (ra_Px20 (iV8471) Y0))) -> (~(exists Y0 : zenon_U, (ra_Px3 (iV8471) Y0))) -> (~(cC80 (iV8471))) -> False).
% 0.39/0.55 do 0 intro. intros zenon_H9d zenon_H9e zenon_H9f.
% 0.39/0.55 generalize (axiom_80 (iV8471)). zenon_intro zenon_Ha0.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_Ha0); [ zenon_intro zenon_H9f; zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2; zenon_intro zenon_Ha1 ].
% 0.39/0.55 apply (zenon_notand_s _ _ zenon_Ha3); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha4 ].
% 0.39/0.55 generalize (axiom_78 (iV8471)). zenon_intro zenon_Ha6.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha5; zenon_intro zenon_Ha7 | zenon_intro axiom_118; zenon_intro zenon_H9d ].
% 0.39/0.55 exact (zenon_Ha7 zenon_H9d).
% 0.39/0.55 exact (zenon_Ha5 axiom_118).
% 0.39/0.55 generalize (axiom_12 (iV8471)). zenon_intro zenon_Ha8.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_Ha8); [ zenon_intro zenon_Ha4; zenon_intro zenon_Ha9 | zenon_intro axiom_119; zenon_intro zenon_H9e ].
% 0.39/0.55 exact (zenon_Ha9 zenon_H9e).
% 0.39/0.55 exact (zenon_Ha4 axiom_119).
% 0.39/0.55 exact (zenon_H9f zenon_Ha2).
% 0.39/0.55 (* end of lemma zenon_L4_ *)
% 0.39/0.55 assert (zenon_L5_ : (~(exists Y0 : zenon_U, (ra_Px3 (iV8472) Y0))) -> (~(cC2xcomp (iV8472))) -> False).
% 0.39/0.55 do 0 intro. intros zenon_Haa zenon_Hab.
% 0.39/0.55 generalize (axiom_12 (iV8472)). zenon_intro zenon_Hac.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_Hac); [ zenon_intro zenon_Hab; zenon_intro zenon_Had | zenon_intro axiom_122; zenon_intro zenon_Haa ].
% 0.39/0.55 exact (zenon_Had zenon_Haa).
% 0.39/0.55 exact (zenon_Hab axiom_122).
% 0.39/0.55 (* end of lemma zenon_L5_ *)
% 0.39/0.55 assert (zenon_L6_ : (exists Y0 : zenon_U, (ra_Px3 (iV8476) Y0)) -> (~(cC2 (iV8476))) -> False).
% 0.39/0.55 do 0 intro. intros zenon_Hae zenon_Haf.
% 0.39/0.55 generalize (axiom_11 (iV8476)). zenon_intro zenon_Hb0.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_Hb0); [ zenon_intro zenon_Haf; zenon_intro zenon_Hb1 | zenon_intro axiom_132; zenon_intro zenon_Hae ].
% 0.39/0.55 exact (zenon_Hb1 zenon_Hae).
% 0.39/0.55 exact (zenon_Haf axiom_132).
% 0.39/0.55 (* end of lemma zenon_L6_ *)
% 0.39/0.55 assert (zenon_L7_ : (exists Y0 : zenon_U, (ra_Px3 (iV8476) Y0)) -> (~(cC58 (iV8472))) -> False).
% 0.39/0.55 do 0 intro. intros zenon_Hae zenon_Hb2.
% 0.39/0.55 generalize (axiom_57 (iV8472)). zenon_intro zenon_Hb3.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb2; zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5; zenon_intro zenon_Hb4 ].
% 0.39/0.55 apply zenon_Hb6. exists (iV8476). apply NNPP. zenon_intro zenon_Hb7.
% 0.39/0.55 apply (zenon_notand_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Haf ].
% 0.39/0.55 exact (zenon_Hb8 axiom_124).
% 0.39/0.55 apply (zenon_L6_); trivial.
% 0.39/0.55 exact (zenon_Hb2 zenon_Hb5).
% 0.39/0.55 (* end of lemma zenon_L7_ *)
% 0.39/0.55 assert (zenon_L8_ : (~(exists Y0 : zenon_U, (ra_Px3 (iV8472) Y0))) -> (exists Y0 : zenon_U, (ra_Px3 (iV8476) Y0)) -> (~(cC60 (iV8472))) -> False).
% 0.39/0.55 do 0 intro. intros zenon_Haa zenon_Hae zenon_Hb9.
% 0.39/0.55 generalize (axiom_61 (iV8472)). zenon_intro zenon_Hba.
% 0.39/0.55 apply (zenon_equiv_s _ _ zenon_Hba); [ zenon_intro zenon_Hb9; zenon_intro zenon_Hbd | zenon_intro zenon_Hbc; zenon_intro zenon_Hbb ].
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hbd); [ zenon_intro zenon_Hab | zenon_intro zenon_Hb2 ].
% 0.39/0.56 apply (zenon_L5_); trivial.
% 0.39/0.56 apply (zenon_L7_); trivial.
% 0.39/0.56 exact (zenon_Hb9 zenon_Hbc).
% 0.39/0.56 (* end of lemma zenon_L8_ *)
% 0.39/0.56 apply NNPP. intro zenon_G.
% 0.39/0.56 generalize (axiom_60 (iV8469)). zenon_intro zenon_H9b.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_H9b); [ zenon_intro zenon_H99; zenon_intro zenon_H9c | zenon_intro axiom_113; zenon_intro zenon_H92 ].
% 0.39/0.56 exact (zenon_H99 axiom_113).
% 0.39/0.56 generalize (axiom_78 (iV8471)). zenon_intro zenon_Ha6.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha5; zenon_intro zenon_Ha7 | zenon_intro axiom_118; zenon_intro zenon_H9d ].
% 0.39/0.56 exact (zenon_Ha5 axiom_118).
% 0.39/0.56 generalize (axiom_12 (iV8471)). zenon_intro zenon_Ha8.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Ha8); [ zenon_intro zenon_Ha4; zenon_intro zenon_Ha9 | zenon_intro axiom_119; zenon_intro zenon_H9e ].
% 0.39/0.56 exact (zenon_Ha4 axiom_119).
% 0.39/0.56 generalize (axiom_12 (iV8472)). zenon_intro zenon_Hac.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Hac); [ zenon_intro zenon_Hab; zenon_intro zenon_Had | zenon_intro axiom_122; zenon_intro zenon_Haa ].
% 0.39/0.56 exact (zenon_Hab axiom_122).
% 0.39/0.56 generalize (axiom_12 (iV8473)). zenon_intro zenon_H8c.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_H8c); [ zenon_intro zenon_H8a; zenon_intro zenon_H8d | zenon_intro axiom_125; zenon_intro zenon_H88 ].
% 0.39/0.56 exact (zenon_H8a axiom_125).
% 0.39/0.56 generalize (axiom_27 (iV8474)). zenon_intro zenon_Hbe.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc1; zenon_intro zenon_Hc0 | zenon_intro axiom_127; zenon_intro zenon_Hbf ].
% 0.39/0.56 exact (zenon_Hc1 axiom_127).
% 0.39/0.56 generalize (axiom_11 (iV8476)). zenon_intro zenon_Hb0.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Hb0); [ zenon_intro zenon_Haf; zenon_intro zenon_Hb1 | zenon_intro axiom_132; zenon_intro zenon_Hae ].
% 0.39/0.56 exact (zenon_Haf axiom_132).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 0.39/0.56 exact (zenon_Hc3 axiom_0).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ].
% 0.39/0.56 exact (zenon_Hc5 axiom_1).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc6 ].
% 0.39/0.56 generalize (axiom_13 (iV8467)). zenon_intro zenon_Hc8.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc7; zenon_intro zenon_H87 | zenon_intro zenon_Hc9; zenon_intro zenon_H90 ].
% 0.39/0.56 apply (zenon_L1_); trivial.
% 0.39/0.56 exact (zenon_Hc7 zenon_Hc9).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hc6); [ zenon_intro zenon_H8e | zenon_intro zenon_Hca ].
% 0.39/0.56 apply (zenon_L2_); trivial.
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hca); [ zenon_intro zenon_H93 | zenon_intro zenon_Hcb ].
% 0.39/0.56 apply (zenon_L3_); trivial.
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hcb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ].
% 0.39/0.56 generalize (axiom_82 (iV8467)). zenon_intro zenon_Hce.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Hce); [ zenon_intro zenon_Hcd; zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0; zenon_intro zenon_Hcf ].
% 0.39/0.56 apply zenon_Hd1. exists (iV8471). apply NNPP. zenon_intro zenon_Hd2.
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hd2); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9f ].
% 0.39/0.56 exact (zenon_Hd3 axiom_103).
% 0.39/0.56 apply (zenon_L4_); trivial.
% 0.39/0.56 exact (zenon_Hcd zenon_Hd0).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hcc); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd4 ].
% 0.39/0.56 generalize (axiom_62 (iV8467)). zenon_intro zenon_Hd6.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd5; zenon_intro zenon_Hd9 | zenon_intro zenon_Hd8; zenon_intro zenon_Hd7 ].
% 0.39/0.56 apply zenon_Hd9. exists (iV8472). apply NNPP. zenon_intro zenon_Hda.
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hda); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hb9 ].
% 0.39/0.56 exact (zenon_Hdb axiom_110).
% 0.39/0.56 apply (zenon_L8_); trivial.
% 0.39/0.56 exact (zenon_Hd5 zenon_Hd8).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hd4); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdc ].
% 0.39/0.56 generalize (axiom_5 (iV8467)). zenon_intro zenon_Hde.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Hde); [ zenon_intro zenon_Hdd; zenon_intro zenon_He1 | zenon_intro zenon_He0; zenon_intro zenon_Hdf ].
% 0.39/0.56 apply zenon_He1. exists (iV8470). apply NNPP. zenon_intro zenon_He2.
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_He2); [ zenon_intro zenon_He4 | zenon_intro zenon_He3 ].
% 0.39/0.56 exact (zenon_He4 axiom_104).
% 0.39/0.56 exact (zenon_He3 axiom_116).
% 0.39/0.56 exact (zenon_Hdd zenon_He0).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hdc); [ zenon_intro zenon_He6 | zenon_intro zenon_He5 ].
% 0.39/0.56 generalize (axiom_29 (iV8467)). zenon_intro zenon_He7.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_He7); [ zenon_intro zenon_He6; zenon_intro zenon_Hea | zenon_intro zenon_He9; zenon_intro zenon_He8 ].
% 0.39/0.56 apply zenon_Hea. exists (iV8474). apply NNPP. zenon_intro zenon_Heb.
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Heb); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc1 ].
% 0.39/0.56 exact (zenon_Hec axiom_106).
% 0.39/0.56 generalize (axiom_27 (iV8474)). zenon_intro zenon_Hbe.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc1; zenon_intro zenon_Hc0 | zenon_intro axiom_127; zenon_intro zenon_Hbf ].
% 0.39/0.56 exact (zenon_Hc0 zenon_Hbf).
% 0.39/0.56 exact (zenon_Hc1 axiom_127).
% 0.39/0.56 exact (zenon_He6 zenon_He9).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_He5); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ].
% 0.39/0.56 generalize (axiom_2 (iV8467)). zenon_intro zenon_Hef.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Hef); [ zenon_intro zenon_Hee; zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1; zenon_intro zenon_Hf0 ].
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hf2); [ zenon_intro zenon_H8e | zenon_intro zenon_H93 ].
% 0.39/0.56 apply (zenon_L2_); trivial.
% 0.39/0.56 apply (zenon_L3_); trivial.
% 0.39/0.56 exact (zenon_Hee zenon_Hf1).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hed); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ].
% 0.39/0.56 exact (zenon_Hf4 axiom_102).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hf3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hf5 ].
% 0.39/0.56 generalize (axiom_44 (iV8467)). zenon_intro zenon_Hf7.
% 0.39/0.56 apply (zenon_equiv_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf6; zenon_intro zenon_H87 | zenon_intro zenon_Hf8; zenon_intro zenon_H90 ].
% 0.39/0.56 apply (zenon_L1_); trivial.
% 0.39/0.56 exact (zenon_Hf6 zenon_Hf8).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hf5); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ].
% 0.39/0.56 exact (zenon_Hfa axiom_120).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hf9); [ zenon_intro zenon_H9f | zenon_intro zenon_Hfb ].
% 0.39/0.56 apply (zenon_L4_); trivial.
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hfb); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hfc ].
% 0.39/0.56 apply (zenon_L7_); trivial.
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_Hfc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfd ].
% 0.39/0.56 apply (zenon_L8_); trivial.
% 0.39/0.56 exact (zenon_Hfd axiom_123).
% 0.39/0.56 Qed.
% 0.39/0.56 % SZS output end Proof
% 0.39/0.56 (* END-PROOF *)
% 0.39/0.56 nodes searched: 2956
% 0.39/0.56 max branch formulas: 615
% 0.39/0.56 proof nodes created: 124
% 0.39/0.56 formulas created: 7681
% 0.39/0.56
%------------------------------------------------------------------------------