%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU167+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 14:34:38 EDT 2022

% Result   : Theorem 4.54s 4.75s
% Output   : Refutation 4.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU167+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 10:21:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 4.54/4.75  
% 4.54/4.75  SPASS V 3.9 
% 4.54/4.75  SPASS beiseite: Proof found.
% 4.54/4.75  % SZS status Theorem
% 4.54/4.75  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 4.54/4.75  SPASS derived 15800 clauses, backtracked 696 clauses, performed 8 splits and kept 5514 clauses.
% 4.54/4.75  SPASS allocated 108496 KBytes.
% 4.54/4.75  SPASS spent	0:00:04.31 on the problem.
% 4.54/4.75  		0:00:00.04 for the input.
% 4.54/4.75  		0:00:00.22 for the FLOTTER CNF translation.
% 4.54/4.75  		0:00:00.17 for inferences.
% 4.54/4.75  		0:00:00.18 for the backtracking.
% 4.54/4.75  		0:00:03.61 for the reduction.
% 4.54/4.75  
% 4.54/4.75  
% 4.54/4.75  Here is a proof with depth 2, length 10 :
% 4.54/4.75  % SZS output start Refutation
% 4.54/4.75  3[0:Inp] ||  -> subset(skc9,skc8)*l.
% 4.54/4.75  4[0:Inp] ||  -> subset(skc6,skc7)*r.
% 4.54/4.75  39[0:Inp] || subset(cartesian_product2(skc9,skc6),cartesian_product2(skc8,skc7))*l -> .
% 4.54/4.75  94[0:Inp] || subset(u,v) -> subset(cartesian_product2(u,w),cartesian_product2(v,w))*.
% 4.54/4.75  95[0:Inp] || subset(u,v) -> subset(cartesian_product2(w,u),cartesian_product2(w,v))*.
% 4.54/4.75  96[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*.
% 4.54/4.75  167[0:Res:4.0,95.0] ||  -> subset(cartesian_product2(u,skc6),cartesian_product2(u,skc7))*r.
% 4.54/4.75  187[0:Res:3.0,94.0] ||  -> subset(cartesian_product2(skc9,u),cartesian_product2(skc8,u))*l.
% 4.54/4.75  18306[0:NCh:96.2,96.0,187.0,39.0] || subset(cartesian_product2(skc8,skc6),cartesian_product2(skc8,skc7))*r -> .
% 4.54/4.75  18311[0:MRR:18306.0,167.0] ||  -> .
% 4.54/4.75  % SZS output end Refutation
% 4.54/4.75  Formulae used in the proof : t119_zfmisc_1 t118_zfmisc_1 t1_xboole_1
% 4.54/4.75  
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