%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET095-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 05:23:57 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET095-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n018.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 05:22:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.44  
% 0.19/0.44  SPASS V 3.9 
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 17 clauses, backtracked 0 clauses, performed 0 splits and kept 147 clauses.
% 0.19/0.44  SPASS allocated 75799 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.08 on the problem.
% 0.19/0.44  		0:00:00.04 for the input.
% 0.19/0.44  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.01 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 2, length 8 :
% 0.19/0.44  % SZS output start Refutation
% 0.19/0.44  28[0:Inp] || member(u,v)* member(w,v)* -> subclass(unordered_pair(w,u),v)*.
% 0.19/0.44  48[0:Inp] ||  -> member(x__dfg,y__dfg)*.
% 0.19/0.44  49[0:Inp] || subclass(singleton(x__dfg),y__dfg)*l -> .
% 0.19/0.44  61[0:Inp] ||  -> equal(unordered_pair(u,u),singleton(u))**.
% 0.19/0.44  155[0:Res:48.0,28.1] || member(u,y__dfg) -> subclass(unordered_pair(u,x__dfg),y__dfg)*l.
% 0.19/0.44  161[0:Res:48.0,155.0] ||  -> subclass(unordered_pair(x__dfg,x__dfg),y__dfg)*l.
% 0.19/0.44  165[0:Rew:61.0,161.0] ||  -> subclass(singleton(x__dfg),y__dfg)*l.
% 0.19/0.44  166[0:MRR:165.0,49.0] ||  -> .
% 0.19/0.44  % SZS output end Refutation
% 0.19/0.44  Formulae used in the proof : unordered_pair_is_subset prove_property_of_singletons2_1 prove_property_of_singletons2_2 singleton_set
% 0.19/0.44  
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