%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU160+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 14:34:31 EDT 2022

% Result   : Theorem 0.13s 0.52s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : SEU160+2 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.10  % Command  : run_spass %d %s
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit : 300
% 0.10/0.28  % WCLimit  : 600
% 0.10/0.28  % DateTime : Sun Jun 19 02:18:47 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.13/0.52  
% 0.13/0.52  SPASS V 3.9 
% 0.13/0.52  SPASS beiseite: Proof found.
% 0.13/0.52  % SZS status Theorem
% 0.13/0.52  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.13/0.52  SPASS derived 56 clauses, backtracked 0 clauses, performed 0 splits and kept 143 clauses.
% 0.13/0.52  SPASS allocated 100073 KBytes.
% 0.13/0.52  SPASS spent	0:00:00.23 on the problem.
% 0.13/0.52  		0:00:00.03 for the input.
% 0.13/0.52  		0:00:00.17 for the FLOTTER CNF translation.
% 0.13/0.52  		0:00:00.00 for inferences.
% 0.13/0.52  		0:00:00.00 for the backtracking.
% 0.13/0.52  		0:00:00.01 for the reduction.
% 0.13/0.52  
% 0.13/0.52  
% 0.13/0.52  Here is a proof with depth 1, length 11 :
% 0.13/0.52  % SZS output start Refutation
% 0.13/0.52  26[0:Inp] || equal(u,v)* -> subset(v,u).
% 0.13/0.52  43[0:Inp] || equal(u,empty_set)* -> subset(u,singleton(v))*.
% 0.13/0.52  50[0:Inp] || equal(empty_set,skc4) subset(skc4,singleton(skc5))*r -> .
% 0.13/0.52  71[0:Inp] || equal(singleton(skc5),skc4) subset(skc4,singleton(skc5))*r -> .
% 0.13/0.52  79[0:Inp] ||  -> subset(skc4,singleton(skc5))*r equal(empty_set,skc4) equal(singleton(skc5),skc4).
% 0.13/0.52  97[0:Inp] || subset(u,singleton(v))* -> equal(u,empty_set) equal(u,singleton(v)).
% 0.13/0.52  147[0:MRR:50.1,43.1] || equal(empty_set,skc4)** -> .
% 0.13/0.52  148[0:MRR:71.1,26.1] || equal(singleton(skc5),skc4)** -> .
% 0.13/0.52  150[0:MRR:79.1,79.2,147.0,26.0] ||  -> subset(skc4,singleton(skc5))*r.
% 0.13/0.52  233[0:Res:150.0,97.0] ||  -> equal(singleton(skc5),skc4)** equal(empty_set,skc4).
% 0.13/0.52  238[0:MRR:233.0,233.1,148.0,147.0] ||  -> .
% 0.13/0.52  % SZS output end Refutation
% 0.13/0.52  Formulae used in the proof : d10_xboole_0 l4_zfmisc_1 t39_zfmisc_1
% 0.13/0.52  
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