%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET589+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n022.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 05:27:11 EDT 2022

% Result   : Theorem 0.21s 0.45s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET589+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n022.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 : Sun Jul 10 12:53:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.45  
% 0.21/0.45  SPASS V 3.9 
% 0.21/0.45  SPASS beiseite: Proof found.
% 0.21/0.45  % SZS status Theorem
% 0.21/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.45  SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 22 clauses.
% 0.21/0.45  SPASS allocated 85233 KBytes.
% 0.21/0.45  SPASS spent	0:00:00.09 on the problem.
% 0.21/0.45  		0:00:00.04 for the input.
% 0.21/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.45  		0:00:00.00 for inferences.
% 0.21/0.45  		0:00:00.00 for the backtracking.
% 0.21/0.45  		0:00:00.00 for the reduction.
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  Here is a proof with depth 2, length 10 :
% 0.21/0.45  % SZS output start Refutation
% 0.21/0.45  1[0:Inp] ||  -> subset(skc7,skc6)*r.
% 0.21/0.45  2[0:Inp] ||  -> subset(skc4,skc5)*l.
% 0.21/0.45  4[0:Inp] || subset(difference(skc7,skc5),difference(skc6,skc4))*r -> .
% 0.21/0.45  9[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*.
% 0.21/0.45  10[0:Inp] || subset(u,v) -> subset(difference(u,w),difference(v,w))*.
% 0.21/0.45  11[0:Inp] || subset(u,v) -> subset(difference(w,v),difference(w,u))*.
% 0.21/0.45  14[0:Res:2.0,11.0] ||  -> subset(difference(u,skc5),difference(u,skc4))*r.
% 0.21/0.45  18[0:Res:1.0,10.0] ||  -> subset(difference(skc7,u),difference(skc6,u))*r.
% 0.21/0.45  26[0:NCh:9.2,9.1,4.0,18.0] || subset(difference(skc7,skc5),difference(skc7,skc4))*r -> .
% 0.21/0.45  28[0:MRR:26.0,14.0] ||  -> .
% 0.21/0.45  % SZS output end Refutation
% 0.21/0.45  Formulae used in the proof : prove_th48 transitivity_of_subset difference_subset1 difference_subset2
% 0.21/0.45  
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