TSTP Solution File: KRS157+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : KRS157+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n029.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 03:39:38 EDT 2022

% Result   : Theorem 0.39s 0.54s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : KRS157+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14  % Command  : run_zenon %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun  7 16:29:05 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.39/0.54  (* PROOF-FOUND *)
% 0.39/0.54  % SZS status Theorem
% 0.39/0.54  (* BEGIN-PROOF *)
% 0.39/0.54  % SZS output start Proof
% 0.39/0.54  Theorem the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\((cC14 (iV3102))/\((cC44 (iV3102))/\((cC216 (iV3102))/\((cC64 (iV3102))/\((cC46 (iV3102))/\((cC28 (iV3102))/\((cowlThing (iV3102))/\(cC30 (iV3102))))))))))).
% 0.39/0.54  Proof.
% 0.39/0.54  apply NNPP. intro zenon_G.
% 0.39/0.54  generalize (axiom_201 (iV3102)). zenon_intro zenon_Hdc.
% 0.39/0.54  apply (zenon_equiv_s _ _ zenon_Hdc); [ zenon_intro zenon_Hdf; zenon_intro zenon_Hde | zenon_intro axiom_202; zenon_intro zenon_Hdd ].
% 0.39/0.54  exact (zenon_Hdf axiom_202).
% 0.39/0.54  apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_He1. zenon_intro zenon_He0.
% 0.39/0.54  generalize (axiom_121 (iV3102)). zenon_intro zenon_He2.
% 0.39/0.54  apply (zenon_equiv_s _ _ zenon_He2); [ zenon_intro zenon_He5; zenon_intro zenon_He4 | zenon_intro zenon_He1; zenon_intro zenon_He3 ].
% 0.39/0.54  exact (zenon_He5 zenon_He1).
% 0.39/0.54  apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He6. zenon_intro axiom_216.
% 0.39/0.54  generalize (axiom_166 (iV3102)). zenon_intro zenon_He7.
% 0.39/0.54  apply (zenon_equiv_s _ _ zenon_He7); [ zenon_intro zenon_Hea; zenon_intro zenon_He9 | zenon_intro zenon_He6; zenon_intro zenon_He8 ].
% 0.39/0.54  exact (zenon_Hea zenon_He6).
% 0.39/0.54  generalize (axiom_148 (iV3102)). zenon_intro zenon_Heb.
% 0.39/0.54  apply (zenon_equiv_s _ _ zenon_Heb); [ zenon_intro zenon_Hee; zenon_intro zenon_Hed | zenon_intro zenon_He0; zenon_intro zenon_Hec ].
% 0.39/0.54  exact (zenon_Hee zenon_He0).
% 0.39/0.54  apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hf0. zenon_intro zenon_Hef.
% 0.39/0.54  generalize (axiom_132 (iV3102)). zenon_intro zenon_Hf1.
% 0.39/0.54  apply (zenon_equiv_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf4; zenon_intro zenon_Hf3 | zenon_intro zenon_Hf0; zenon_intro zenon_Hf2 ].
% 0.39/0.54  exact (zenon_Hf4 zenon_Hf0).
% 0.39/0.54  apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hf6. zenon_intro zenon_Hf5.
% 0.39/0.54  generalize (axiom_131 (iV3102)). zenon_intro zenon_Hf7.
% 0.39/0.54  apply (zenon_equiv_s _ _ zenon_Hf7); [ zenon_intro zenon_Hfa; zenon_intro zenon_Hf9 | zenon_intro zenon_Hf6; zenon_intro zenon_Hf8 ].
% 0.39/0.54  exact (zenon_Hfa zenon_Hf6).
% 0.39/0.55  generalize (axiom_44 (iV3102)). zenon_intro zenon_Hfb.
% 0.39/0.55  apply (zenon_equiv_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfe; zenon_intro zenon_Hfd | zenon_intro zenon_Hf5; zenon_intro zenon_Hfc ].
% 0.39/0.55  exact (zenon_Hfe zenon_Hf5).
% 0.39/0.55  generalize (axiom_147 (iV3102)). zenon_intro zenon_Hff.
% 0.39/0.55  apply (zenon_equiv_s _ _ zenon_Hff); [ zenon_intro zenon_H102; zenon_intro zenon_H101 | zenon_intro zenon_Hef; zenon_intro zenon_H100 ].
% 0.39/0.55  exact (zenon_H102 zenon_Hef).
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 0.39/0.55  exact (zenon_H104 axiom_0).
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_H103); [ zenon_intro zenon_H106 | zenon_intro zenon_H105 ].
% 0.39/0.55  exact (zenon_H106 axiom_1).
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H107 ].
% 0.39/0.55  generalize (axiom_44 (iV3102)). zenon_intro zenon_Hfb.
% 0.39/0.55  apply (zenon_equiv_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfe; zenon_intro zenon_Hfd | zenon_intro zenon_Hf5; zenon_intro zenon_Hfc ].
% 0.39/0.55  exact (zenon_Hfd zenon_Hfc).
% 0.39/0.55  exact (zenon_Hfe zenon_Hf5).
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_H107); [ zenon_intro zenon_H102 | zenon_intro zenon_H108 ].
% 0.39/0.55  generalize (axiom_147 (iV3102)). zenon_intro zenon_Hff.
% 0.39/0.55  apply (zenon_equiv_s _ _ zenon_Hff); [ zenon_intro zenon_H102; zenon_intro zenon_H101 | zenon_intro zenon_Hef; zenon_intro zenon_H100 ].
% 0.39/0.55  exact (zenon_H101 zenon_H100).
% 0.39/0.55  exact (zenon_H102 zenon_Hef).
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_H108); [ zenon_intro zenon_He5 | zenon_intro zenon_H109 ].
% 0.39/0.55  generalize (axiom_121 (iV3102)). zenon_intro zenon_He2.
% 0.39/0.55  apply (zenon_equiv_s _ _ zenon_He2); [ zenon_intro zenon_He5; zenon_intro zenon_He4 | zenon_intro zenon_He1; zenon_intro zenon_He3 ].
% 0.39/0.55  exact (zenon_He4 zenon_He3).
% 0.39/0.55  exact (zenon_He5 zenon_He1).
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_H109); [ zenon_intro zenon_Hea | zenon_intro zenon_H10a ].
% 0.39/0.55  generalize (axiom_166 (iV3102)). zenon_intro zenon_He7.
% 0.39/0.55  apply (zenon_equiv_s _ _ zenon_He7); [ zenon_intro zenon_Hea; zenon_intro zenon_He9 | zenon_intro zenon_He6; zenon_intro zenon_He8 ].
% 0.39/0.55  exact (zenon_He9 zenon_He8).
% 0.39/0.55  exact (zenon_Hea zenon_He6).
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_H10a); [ zenon_intro zenon_Hee | zenon_intro zenon_H10b ].
% 0.39/0.55  generalize (axiom_148 (iV3102)). zenon_intro zenon_Heb.
% 0.39/0.55  apply (zenon_equiv_s _ _ zenon_Heb); [ zenon_intro zenon_Hee; zenon_intro zenon_Hed | zenon_intro zenon_He0; zenon_intro zenon_Hec ].
% 0.39/0.55  exact (zenon_Hed zenon_Hec).
% 0.39/0.55  exact (zenon_Hee zenon_He0).
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_H10b); [ zenon_intro zenon_Hfa | zenon_intro zenon_H10c ].
% 0.39/0.55  generalize (axiom_131 (iV3102)). zenon_intro zenon_Hf7.
% 0.39/0.55  apply (zenon_equiv_s _ _ zenon_Hf7); [ zenon_intro zenon_Hfa; zenon_intro zenon_Hf9 | zenon_intro zenon_Hf6; zenon_intro zenon_Hf8 ].
% 0.39/0.55  exact (zenon_Hf9 zenon_Hf8).
% 0.39/0.55  exact (zenon_Hfa zenon_Hf6).
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_H10c); [ zenon_intro zenon_H10d | zenon_intro zenon_Hf4 ].
% 0.39/0.55  exact (zenon_H10d axiom_217).
% 0.39/0.55  generalize (axiom_132 (iV3102)). zenon_intro zenon_Hf1.
% 0.39/0.55  apply (zenon_equiv_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf4; zenon_intro zenon_Hf3 | zenon_intro zenon_Hf0; zenon_intro zenon_Hf2 ].
% 0.39/0.55  exact (zenon_Hf3 zenon_Hf2).
% 0.39/0.55  exact (zenon_Hf4 zenon_Hf0).
% 0.39/0.55  Qed.
% 0.39/0.55  % SZS output end Proof
% 0.39/0.55  (* END-PROOF *)
% 0.39/0.55  nodes searched: 56
% 0.39/0.55  max branch formulas: 142
% 0.39/0.55  proof nodes created: 36
% 0.39/0.55  formulas created: 2143
% 0.39/0.55  
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