%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV163+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n019.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 21:41:29 EDT 2022

% Result   : Theorem 0.81s 1.02s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV163+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.15  % Command  : run_spass %d %s
% 0.14/0.37  % Computer : n019.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Tue Jun 14 18:40:09 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.81/1.02  
% 0.81/1.02  SPASS V 3.9 
% 0.81/1.02  SPASS beiseite: Proof found.
% 0.81/1.02  % SZS status Theorem
% 0.81/1.02  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.81/1.02  SPASS derived 2721 clauses, backtracked 46 clauses, performed 2 splits and kept 1334 clauses.
% 0.81/1.02  SPASS allocated 88132 KBytes.
% 0.81/1.02  SPASS spent	0:00:00.63 on the problem.
% 0.81/1.02  		0:00:00.04 for the input.
% 0.81/1.02  		0:00:00.09 for the FLOTTER CNF translation.
% 0.81/1.02  		0:00:00.02 for inferences.
% 0.81/1.02  		0:00:00.01 for the backtracking.
% 0.81/1.02  		0:00:00.33 for the reduction.
% 0.81/1.02  
% 0.81/1.02  
% 0.81/1.02  Here is a proof with depth 2, length 10 :
% 0.81/1.02  % SZS output start Refutation
% 0.81/1.02  2[0:Inp] ||  -> leq(n0,skc1)*r.
% 0.81/1.02  5[0:Inp] ||  -> leq(skc1,tptp_minus_1)*l.
% 0.81/1.02  36[0:Inp] || gt(u,u)* -> .
% 0.81/1.02  38[0:Inp] ||  -> equal(succ(tptp_minus_1),n0)**.
% 0.81/1.02  80[0:Inp] || leq(u,v)*+ -> gt(succ(v),u)*.
% 0.81/1.02  106[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*.
% 0.81/1.02  3315[0:OCh:106.1,106.0,5.0,2.0] ||  -> leq(n0,tptp_minus_1)*r.
% 0.81/1.02  3968[0:Res:3315.0,80.0] ||  -> gt(succ(tptp_minus_1),n0)*l.
% 0.81/1.02  3978[0:Rew:38.0,3968.0] ||  -> gt(n0,n0)*.
% 0.81/1.02  3979[0:MRR:3978.0,36.0] ||  -> .
% 0.81/1.02  % SZS output end Refutation
% 0.81/1.02  Formulae used in the proof : cl5_nebula_norm_0013 irreflexivity_gt succ_tptp_minus_1 leq_succ_gt_equiv transitivity_leq
% 0.81/1.02  
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