%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.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 13:03:11 EDT 2022

% Result   : Unsatisfiable 0.18s 0.54s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n016.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 : Fri Jul  1 14:17:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.54  
% 0.18/0.54  SPASS V 3.9 
% 0.18/0.54  SPASS beiseite: Proof found.
% 0.18/0.54  % SZS status Theorem
% 0.18/0.54  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.54  SPASS derived 1221 clauses, backtracked 0 clauses, performed 0 splits and kept 343 clauses.
% 0.18/0.54  SPASS allocated 64166 KBytes.
% 0.18/0.54  SPASS spent	0:00:00.18 on the problem.
% 0.18/0.54  		0:00:00.04 for the input.
% 0.18/0.54  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.54  		0:00:00.01 for inferences.
% 0.18/0.54  		0:00:00.00 for the backtracking.
% 0.18/0.54  		0:00:00.11 for the reduction.
% 0.18/0.54  
% 0.18/0.54  
% 0.18/0.54  Here is a proof with depth 2, length 13 :
% 0.18/0.54  % SZS output start Refutation
% 0.18/0.54  3[0:Inp] ||  -> equal(divide(u,u),zero)**.
% 0.18/0.54  6[0:Inp] || less_equal(divide(u,v),w)*+ -> less_equal(divide(u,w),v)*.
% 0.18/0.54  7[0:Inp] || less_equal(u,v) -> less_equal(divide(w,v),divide(w,u))*.
% 0.18/0.54  9[0:Inp] || equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))** -> .
% 0.18/0.54  11[0:Inp] || equal(divide(u,v),zero)** -> less_equal(u,v).
% 0.18/0.54  15[0:Inp] || less_equal(u,v)*+ less_equal(v,u)* -> equal(v,u).
% 0.18/0.54  18[0:Res:15.2,9.0] || less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))*l -> .
% 0.18/0.54  59[0:SpL:3.0,11.0] || equal(zero,zero)* -> less_equal(u,u)*.
% 0.18/0.54  63[0:Obv:59.0] ||  -> less_equal(u,u)*.
% 0.18/0.54  405[0:Res:63.0,6.0] ||  -> less_equal(divide(u,divide(u,v)),v)*l.
% 0.18/0.54  435[0:MRR:18.1,405.0] || less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a))))*r -> .
% 0.18/0.54  1689[0:Res:7.1,435.0] || less_equal(divide(identity,divide(identity,a)),a)*l -> .
% 0.18/0.54  1696[0:MRR:1689.0,405.0] ||  -> .
% 0.18/0.54  % SZS output end Refutation
% 0.18/0.54  Formulae used in the proof : x_divide_x_is_zero property_of_divide1 property_of_divide2 prove_this quotient_less_equal2 less_equal_and_equal
% 0.18/0.54  
%------------------------------------------------------------------------------