%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV136+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% 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 : Wed Jul 20 21:41:24 EDT 2022

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV136+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 15 10:01:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.59/0.75  
% 0.59/0.75  SPASS V 3.9 
% 0.59/0.75  SPASS beiseite: Proof found.
% 0.59/0.75  % SZS status Theorem
% 0.59/0.75  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.59/0.75  SPASS derived 2084 clauses, backtracked 19 clauses, performed 3 splits and kept 743 clauses.
% 0.59/0.75  SPASS allocated 87424 KBytes.
% 0.59/0.75  SPASS spent	0:00:00.40 on the problem.
% 0.59/0.75  		0:00:00.04 for the input.
% 0.59/0.75  		0:00:00.07 for the FLOTTER CNF translation.
% 0.59/0.75  		0:00:00.02 for inferences.
% 0.59/0.75  		0:00:00.01 for the backtracking.
% 0.59/0.75  		0:00:00.20 for the reduction.
% 0.59/0.75  
% 0.59/0.75  
% 0.59/0.75  Here is a proof with depth 1, length 8 :
% 0.59/0.75  % SZS output start Refutation
% 0.59/0.75  5[0:Inp] ||  -> leq(n2,pv1325)*r.
% 0.59/0.75  20[0:Inp] ||  -> gt(n2,n0)*l.
% 0.59/0.75  32[0:Inp] || leq(n0,pv1325)*r -> .
% 0.59/0.75  70[0:Inp] || gt(u,v)* -> leq(v,u).
% 0.59/0.75  105[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*.
% 0.59/0.75  788[0:NCh:105.2,105.1,32.0,5.0] || leq(n0,n2)*r -> .
% 0.59/0.75  3071[0:Res:20.0,70.0] ||  -> leq(n0,n2)*r.
% 0.59/0.75  3187[0:MRR:3071.0,788.0] ||  -> .
% 0.59/0.75  % SZS output end Refutation
% 0.59/0.75  Formulae used in the proof : gauss_array_0006 gt_2_0 leq_gt1 transitivity_leq
% 0.59/0.75  
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