↑ Up

Zenon---0.7.1.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : KRS160+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n032.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 0.13s 0.40s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : KRS160+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.09  % Command  : run_zenon %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Tue Jun  7 08:28:50 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.13/0.40  (* PROOF-FOUND *)
% 0.13/0.40  % SZS status Theorem
% 0.13/0.40  (* BEGIN-PROOF *)
% 0.13/0.40  % SZS output start Proof
% 0.13/0.40  Theorem the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\((cowlThing (iV21080))/\((cC12 (iV21080))/\((cC10 (iV21081))/\(cowlThing (iV21081))))))).
% 0.13/0.40  Proof.
% 0.13/0.40  apply NNPP. intro zenon_G.
% 0.13/0.40  generalize (axiom_12 (iV21080)). zenon_intro zenon_H17.
% 0.13/0.40  apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H1a; zenon_intro zenon_H19 | zenon_intro axiom_13; zenon_intro zenon_H18 ].
% 0.13/0.40  exact (zenon_H1a axiom_13).
% 0.13/0.40  apply (zenon_and_s _ _ zenon_H18). zenon_intro axiom_14. zenon_intro zenon_H1b.
% 0.13/0.40  generalize (axiom_3 (iV21080)). zenon_intro zenon_H1c.
% 0.13/0.40  apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H1f; zenon_intro zenon_H1e | zenon_intro zenon_H1b; zenon_intro zenon_H1d ].
% 0.13/0.40  exact (zenon_H1f zenon_H1b).
% 0.13/0.40  generalize (axiom_4 (iV21081)). zenon_intro zenon_H20.
% 0.13/0.40  apply (zenon_equiv_s _ _ zenon_H20); [ zenon_intro zenon_H23; zenon_intro zenon_H22 | zenon_intro axiom_20; zenon_intro zenon_H21 ].
% 0.13/0.40  exact (zenon_H23 axiom_20).
% 0.13/0.40  apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.13/0.40  exact (zenon_H25 axiom_0).
% 0.13/0.40  apply (zenon_notand_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 0.13/0.40  exact (zenon_H27 axiom_1).
% 0.13/0.40  apply (zenon_notand_s _ _ zenon_H26); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 0.13/0.40  exact (zenon_H29 axiom_15).
% 0.13/0.40  apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a ].
% 0.13/0.40  generalize (axiom_3 (iV21080)). zenon_intro zenon_H1c.
% 0.13/0.40  apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H1f; zenon_intro zenon_H1e | zenon_intro zenon_H1b; zenon_intro zenon_H1d ].
% 0.13/0.40  exact (zenon_H1e zenon_H1d).
% 0.13/0.40  exact (zenon_H1f zenon_H1b).
% 0.13/0.40  apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 0.13/0.40  generalize (axiom_2 (iV21081)). zenon_intro zenon_H2d.
% 0.13/0.40  apply (zenon_equiv_s _ _ zenon_H2d); [ zenon_intro zenon_H2c; zenon_intro zenon_H30 | zenon_intro zenon_H2f; zenon_intro zenon_H2e ].
% 0.13/0.40  apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H23 ].
% 0.13/0.40  exact (zenon_H31 axiom_18).
% 0.13/0.40  generalize (axiom_4 (iV21081)). zenon_intro zenon_H20.
% 0.13/0.40  apply (zenon_equiv_s _ _ zenon_H20); [ zenon_intro zenon_H23; zenon_intro zenon_H22 | zenon_intro axiom_20; zenon_intro zenon_H21 ].
% 0.13/0.40  exact (zenon_H22 zenon_H21).
% 0.13/0.40  exact (zenon_H23 axiom_20).
% 0.13/0.40  exact (zenon_H2c zenon_H2f).
% 0.13/0.40  exact (zenon_H2b axiom_21).
% 0.13/0.40  Qed.
% 0.13/0.40  % SZS output end Proof
% 0.13/0.40  (* END-PROOF *)
% 0.13/0.40  nodes searched: 35
% 0.13/0.40  max branch formulas: 36
% 0.13/0.40  proof nodes created: 23
% 0.13/0.40  formulas created: 333
% 0.13/0.40  
%------------------------------------------------------------------------------