↑ Up

ZenonModulo---0.5.0.UNK-Non.f

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ZenonModulo---0.5.0
% Problem  : SWX237-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon_modulo %d %s

% Computer : n007.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  : 300s
% DateTime : Tue May  5 07:08:40 PM UTC 2026

% Result   : Unknown 0.40s 0.57s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX237-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12  % Command  : run_zenon_modulo %d %s
% 0.16/0.33  % Computer : n007.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Tue May  5 13:14:23 EDT 2026
% 0.16/0.33  % CPUTime  : 
% 0.40/0.56  Zenon error: exhausted search space without finding a proof
% 0.40/0.56  (* Current branch:
% 0.40/0.56  ((eq (a) (c)) = (bfalse))
% 0.40/0.56  ((notb (btrue)) != (notb (bfalse)))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (eq2 (btrue) (bfalse)))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (eq (a) (c)))
% 0.40/0.56  ((bfalse) != (btrue))
% 0.40/0.56  ((eq (a) (c)) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (eq (a) (b)))
% 0.40/0.56  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (eq (b) (c)))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (eps2 (nil4)))
% 0.40/0.56  ((eq (b) (a)) != (notb (bfalse)))
% 0.40/0.56  ((eq (a) (c)) != (notb (bfalse)))
% 0.40/0.56  ((eq (c) (b)) = (bfalse))
% 0.40/0.56  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (eq2 (btrue) (bfalse)))
% 0.40/0.56  ((notb (btrue)) != (eps2 (eps)))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (eq (c) (a)))
% 0.40/0.56  ((eq (b) (c)) != (eps2 (eps)))
% 0.40/0.56  ((bfalse) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (eps2 (nil4)))
% 0.40/0.56  ((eq (a) (b)) != (eps2 (eps)))
% 0.40/0.56  ((eps2 (eps)) = (btrue))
% 0.40/0.56  ((btrue) != (eq (c) (a)))
% 0.40/0.56  ((eq (b) (a)) = (bfalse))
% 0.40/0.56  ((eq (c) (b)) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((x2 (eps) (eps)) = (x (eps) (eps)))
% 0.40/0.56  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (btrue))
% 0.40/0.56  ((eq2 (btrue) (bfalse)) != (eps2 (eps)))
% 0.40/0.56  ((or2 (nil3)) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((x (eps) (eps)) != (nil4))
% 0.40/0.56  ((btrue) != (or2 (nil3)))
% 0.40/0.56  ((notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) != (btrue))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (bfalse))
% 0.40/0.56  ((btrue) != (eq (a) (b)))
% 0.40/0.56  ((eq (a) (b)) = (bfalse))
% 0.40/0.56  ((x2 (eps) (nil4)) = (eps))
% 0.40/0.56  ((eq (a) (b)) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (or2 (nil3)))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (eq (c) (b)))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (eq (b) (c)))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (notb (btrue)))
% 0.40/0.56  ((notb (btrue)) = (bfalse))
% 0.40/0.56  ((reck2 (eps) (nil2)) = (btrue))
% 0.40/0.56  ((eps2 (nil4)) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((btrue) != (notb (btrue)))
% 0.40/0.56  ((btrue) != (eq (b) (c)))
% 0.40/0.56  ((or2 (nil3)) != (notb (bfalse)))
% 0.40/0.56  ((eq2 (btrue) (bfalse)) = (bfalse))
% 0.40/0.56  ((nil4) != (x2 (eps) (eps)))
% 0.40/0.56  ((btrue) != (eq (c) (b)))
% 0.40/0.56  ((eq (c) (a)) != (eps2 (eps)))
% 0.40/0.56  ((notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) != (notb (bfalse)))
% 0.40/0.56  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (eq (a) (b)))
% 0.40/0.56  ((btrue) != (eq (a) (c)))
% 0.40/0.56  ((splits2 (nil2)) = (cons (pair2 (nil2) (nil2)) (nil)))
% 0.40/0.56  ((bfalse) != (eps2 (eps)))
% 0.40/0.56  ((bfalse) != (notb (bfalse)))
% 0.40/0.56  ((eq (a) (b)) != (notb (bfalse)))
% 0.40/0.56  ((btrue) != (eq2 (btrue) (bfalse)))
% 0.40/0.56  ((btrue) != (eps2 (nil4)))
% 0.40/0.56  ((eq (c) (b)) != (eps2 (eps)))
% 0.40/0.56  ((eps2 (nil4)) != (notb (bfalse)))
% 0.40/0.56  ((eq2 (bfalse) (btrue)) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((eq (c) (a)) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (eq2 (bfalse) (btrue)))
% 0.40/0.56  ((eq2 (bfalse) (btrue)) != (eps2 (eps)))
% 0.40/0.56  ((eps2 (nil4)) != (eps2 (eps)))
% 0.40/0.56  ((eq (b) (c)) = (bfalse))
% 0.40/0.56  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (eq (b) (a)))
% 0.40/0.56  ((notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) != (eps2 (eps)))
% 0.40/0.56  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (eq (c) (a)))
% 0.40/0.56  ((eq (b) (a)) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((or2 (nil3)) != (eps2 (eps)))
% 0.40/0.56  ((eq2 (btrue) (bfalse)) != (reck2 (eps) (nil2)))
% 0.40/0.56  ((eq (a) (c)) != (eps2 (eps)))
% 0.40/0.56  ((eq (c) (a)) = (bfalse))
% 0.40/0.56  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (eq (c) (b)))
% 0.40/0.57  ((bfalse) != (eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)))
% 0.40/0.57  ((eq (b) (c)) != (reck2 (eps) (nil2)))
% 0.40/0.57  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (eq (b) (a)))
% 0.40/0.57  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (eq2 (bfalse) (btrue)))
% 0.40/0.57  ((eps2 (nil4)) = (bfalse))
% 0.40/0.57  ((reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2)))))) != (or2 (nil3)))
% 0.40/0.57  ((nil4) != (x2 (eps) (nil4)))
% 0.40/0.57  ((eq2 (bfalse) (btrue)) != (notb (bfalse)))
% 0.40/0.57  ((eq2 (bfalse) (btrue)) = (bfalse))
% 0.40/0.57  ((btrue) != (eq (b) (a)))
% 0.40/0.57  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (notb (bfalse)))
% 0.40/0.57  ((notb (btrue)) != (reck2 (eps) (nil2)))
% 0.40/0.57  ((eq (c) (b)) != (notb (bfalse)))
% 0.40/0.57  ((nil4) != (eps))
% 0.40/0.57  ((eq2 (btrue) (bfalse)) != (notb (bfalse)))
% 0.40/0.57  ((btrue) != (eq2 (bfalse) (btrue)))
% 0.40/0.57  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (eq (a) (c)))
% 0.40/0.57  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (notb (btrue)))
% 0.40/0.57  ((notb (bfalse)) = (btrue))
% 0.40/0.57  ((eq (b) (a)) != (eps2 (eps)))
% 0.40/0.57  ((eq (b) (c)) != (notb (bfalse)))
% 0.40/0.57  ((or2 (nil3)) = (bfalse))
% 0.40/0.57  ((eq2 (notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) (bfalse)) != (eps2 (eps)))
% 0.40/0.57  ((notb (reck2 zenon_X0 (cons2 (a) (cons2 (b) (cons2 (b) (cons2 (a) (nil2))))))) != (reck2 (eps) (nil2)))
% 0.40/0.57  ((eq (c) (a)) != (notb (bfalse)))
% 0.40/0.57  *)
% 0.40/0.57  (* NO-PROOF *)
% 0.40/0.57  % SZS status GaveUp
% 0.40/0.57  Number of rewrites on terms: 1
% 0.40/0.57  Number of rewrites on props: 0
% 0.40/0.57  nodes searched: 591
% 0.40/0.57  max branch formulas: 102
% 0.40/0.57  proof nodes created: 78
% 0.40/0.57  formulas created: 2136
% 0.40/0.57  
%------------------------------------------------------------------------------