TSTP Solution File: SET063-7 by SPASS---3.9

View Problem - Process Solution

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% File     : SPASS---3.9
% Problem  : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 05:23:24 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n024.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 : Sun Jul 10 19:18:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.41  
% 0.19/0.41  SPASS V 3.9 
% 0.19/0.41  SPASS beiseite: Proof found.
% 0.19/0.41  % SZS status Theorem
% 0.19/0.41  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.41  SPASS derived 18 clauses, backtracked 0 clauses, performed 0 splits and kept 106 clauses.
% 0.19/0.41  SPASS allocated 75757 KBytes.
% 0.19/0.41  SPASS spent	0:00:00.07 on the problem.
% 0.19/0.41  		0:00:00.04 for the input.
% 0.19/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41  		0:00:00.00 for inferences.
% 0.19/0.41  		0:00:00.00 for the backtracking.
% 0.19/0.41  		0:00:00.01 for the reduction.
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Here is a proof with depth 1, length 9 :
% 0.19/0.41  % SZS output start Refutation
% 0.19/0.41  12[0:Inp] || member(u,null_class)* -> .
% 0.19/0.41  14[0:Inp] ||  -> subclass(x__dfg,null_class)*l.
% 0.19/0.41  15[0:Inp] || equal(x__dfg,null_class)** -> .
% 0.19/0.41  16[0:Inp] || member(u,v)* subclass(v,w)* -> member(u,w)*.
% 0.19/0.41  81[0:Inp] ||  -> equal(u,null_class) member(regular(u),u)*.
% 0.19/0.41  111[0:Res:81.0,15.0] ||  -> member(regular(x__dfg),x__dfg)*.
% 0.19/0.41  125[0:Res:14.0,16.0] || member(u,x__dfg)* -> member(u,null_class).
% 0.19/0.41  127[0:MRR:125.1,12.0] || member(u,x__dfg)* -> .
% 0.19/0.41  128[0:UnC:127.0,111.0] ||  -> .
% 0.19/0.41  % SZS output end Refutation
% 0.19/0.41  Formulae used in the proof : existence_of_null_class prove_corollary_of_null_class_is_subclass_1 prove_corollary_of_null_class_is_subclass_2 subclass_members regularity1
% 0.19/0.41  
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