%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 14:34:38 EDT 2022

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 19 07:14:24 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.45  
% 0.20/0.45  SPASS V 3.9 
% 0.20/0.45  SPASS beiseite: Proof found.
% 0.20/0.45  % SZS status Theorem
% 0.20/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.45  SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 14 clauses.
% 0.20/0.45  SPASS allocated 85130 KBytes.
% 0.20/0.45  SPASS spent	0:00:00.09 on the problem.
% 0.20/0.45  		0:00:00.04 for the input.
% 0.20/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.45  		0:00:00.00 for inferences.
% 0.20/0.45  		0:00:00.00 for the backtracking.
% 0.20/0.45  		0:00:00.00 for the reduction.
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  Here is a proof with depth 2, length 10 :
% 0.20/0.45  % SZS output start Refutation
% 0.20/0.45  2[0:Inp] ||  -> subset(skc9,skc8)*r.
% 0.20/0.45  3[0:Inp] ||  -> subset(skc6,skc7)*l.
% 0.20/0.45  6[0:Inp] || subset(cartesian_product2(skc9,skc6),cartesian_product2(skc8,skc7))*r -> .
% 0.20/0.45  7[0:Inp] || subset(u,v) -> subset(cartesian_product2(u,w),cartesian_product2(v,w))*.
% 0.20/0.45  8[0:Inp] || subset(u,v) -> subset(cartesian_product2(w,u),cartesian_product2(w,v))*.
% 0.20/0.45  9[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*.
% 0.20/0.45  10[0:Res:3.0,8.0] ||  -> subset(cartesian_product2(u,skc6),cartesian_product2(u,skc7))*l.
% 0.20/0.45  13[0:Res:2.0,7.0] ||  -> subset(cartesian_product2(skc9,u),cartesian_product2(skc8,u))*r.
% 0.20/0.45  15[0:NCh:9.2,9.1,6.0,13.0] || subset(cartesian_product2(skc9,skc6),cartesian_product2(skc9,skc7))*l -> .
% 0.20/0.45  16[0:MRR:15.0,10.0] ||  -> .
% 0.20/0.45  % SZS output end Refutation
% 0.20/0.45  Formulae used in the proof : t119_zfmisc_1 t118_zfmisc_1 t1_xboole_1
% 0.20/0.45  
%------------------------------------------------------------------------------