%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : GEG023_1 : TPTP v8.1.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n028.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 : Sat Jul 16 02:41:53 EDT 2022

% Result   : Theorem 0.76s 1.05s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEG023_1 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.06/0.12  % Command  : spasst-tptp-script %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 05:09:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  % Using integer theory
% 0.76/1.05  
% 0.76/1.05  
% 0.76/1.05  % SZS status Theorem for /tmp/SPASST_1083_n028.cluster.edu
% 0.76/1.05  
% 0.76/1.05  SPASS V 2.2.22  in combination with yices.
% 0.76/1.05  SPASS beiseite: Proof found by SMT.
% 0.76/1.05  Problem: /tmp/SPASST_1083_n028.cluster.edu 
% 0.76/1.05  SPASS derived 198 clauses, backtracked 0 clauses and kept 162 clauses.
% 0.76/1.05  SPASS backtracked 1 times (1 times due to theory inconsistency).
% 0.76/1.05  SPASS allocated 6558 KBytes.
% 0.76/1.05  SPASS spent	0:00:00.04 on the problem.
% 0.76/1.05  		0:00:00.00 for the input.
% 0.76/1.05  		0:00:00.00 for the FLOTTER CNF translation.
% 0.76/1.05  		0:00:00.00 for inferences.
% 0.76/1.05  		0:00:00.00 for the backtracking.
% 0.76/1.05  		0:00:00.02 for the reduction.
% 0.76/1.05  		0:00:00.00 for interacting with the SMT procedure.
% 0.76/1.05  		
% 0.76/1.05  
% 0.76/1.05  % SZS output start CNFRefutation for /tmp/SPASST_1083_n028.cluster.edu
% 0.76/1.05  
% 0.76/1.05  % Here is a proof with depth 0, length 12 :
% 0.76/1.05  3[0:Inp] ||  -> city(saarbruecken)*.
% 0.76/1.05  5[0:Inp] ||  -> city(cologne)*.
% 0.76/1.05  7[0:Inp] ||  -> city(hamburg)*.
% 0.76/1.05  8[0:Inp] ||  -> city(kiel)*.
% 0.76/1.05  14[0:Inp] ||  -> equal(d(saarbruecken,cologne),190)**.
% 0.76/1.05  15[0:Inp] ||  -> equal(d(hamburg,cologne),360)**.
% 0.76/1.05  18[0:Inp] ||  -> equal(d(hamburg,kiel),90)**.
% 0.76/1.05  21[0:Inp] ||  -> equal(d(munich,saarbruecken),360)**.
% 0.76/1.05  22[0:Inp] || lesseq(d(kiel,saarbruecken),640)* -> .
% 0.76/1.05  24[0:Inp] || city(U) city(V) -> equal(d(U,V),d(V,U))*.
% 0.76/1.05  25[0:Inp] || city(U) city(V) city(W) -> lesseq(d(U,W),plus(d(U,V),d(V,W)))*.
% 0.76/1.05  440(e)[0:ThR:25,24,22,21,18,15,14,8,7,5,3] ||  -> .
% 0.76/1.05  
% 0.76/1.05  % SZS output end CNFRefutation for /tmp/SPASST_1083_n028.cluster.edu
% 0.76/1.05  
% 0.76/1.05  Formulae used in the proof : fof_munich_type fof_frankfurt_type fof_berlin_type fof_hamburg_type fof_city_distance_3
% 0.76/1.05  
% 0.76/1.05  SPASS+T ended
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