%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU148+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n027.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 14:34:21 EDT 2022

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU148+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 20 10:16:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.52  
% 0.18/0.52  SPASS V 3.9 
% 0.18/0.52  SPASS beiseite: Proof found.
% 0.18/0.52  % SZS status Theorem
% 0.18/0.52  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.52  SPASS derived 177 clauses, backtracked 0 clauses, performed 0 splits and kept 169 clauses.
% 0.18/0.52  SPASS allocated 99247 KBytes.
% 0.18/0.52  SPASS spent	0:00:00.18 on the problem.
% 0.18/0.52  		0:00:00.04 for the input.
% 0.18/0.52  		0:00:00.11 for the FLOTTER CNF translation.
% 0.18/0.52  		0:00:00.00 for inferences.
% 0.18/0.52  		0:00:00.00 for the backtracking.
% 0.18/0.52  		0:00:00.01 for the reduction.
% 0.18/0.52  
% 0.18/0.52  
% 0.18/0.52  Here is a proof with depth 2, length 14 :
% 0.18/0.52  % SZS output start Refutation
% 0.18/0.52  6[0:Inp] || equal(skc5,skc4)** -> .
% 0.18/0.52  8[0:Inp] ||  -> subset(singleton(skc4),singleton(skc5))*r.
% 0.18/0.52  11[0:Inp] || equal(singleton(u),empty_set)** -> .
% 0.18/0.52  39[0:Inp] || subset(singleton(u),v) -> in(u,v)*.
% 0.18/0.52  71[0:Inp] || in(u,v)* equal(v,singleton(w))* -> equal(u,w)*.
% 0.18/0.52  75[0:Inp] || subset(u,singleton(v))* -> equal(u,empty_set) equal(u,singleton(v)).
% 0.18/0.52  126[0:Res:71.2,6.0] || in(skc4,u)* equal(u,singleton(skc5)) -> .
% 0.18/0.52  143[0:Res:8.0,75.0] ||  -> equal(singleton(skc5),singleton(skc4))** equal(singleton(skc4),empty_set).
% 0.18/0.52  145[0:Res:8.0,39.0] ||  -> in(skc4,singleton(skc5))*.
% 0.18/0.52  147[0:MRR:143.1,11.0] ||  -> equal(singleton(skc5),singleton(skc4))**.
% 0.18/0.52  149[0:Rew:147.0,145.0] ||  -> in(skc4,singleton(skc4))*.
% 0.18/0.52  151[0:Rew:147.0,126.1] || equal(u,singleton(skc4)) in(skc4,u)* -> .
% 0.18/0.52  307[0:Res:149.0,151.1] || equal(singleton(skc4),singleton(skc4))* -> .
% 0.18/0.52  308[0:Obv:307.0] ||  -> .
% 0.18/0.52  % SZS output end Refutation
% 0.18/0.52  Formulae used in the proof : t6_zfmisc_1 l1_zfmisc_1 l2_zfmisc_1 d1_tarski l4_zfmisc_1
% 0.18/0.52  
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