TSTP Solution File: SET058-7 by SPASS---3.9

View Problem - Process Solution

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% File     : SPASS---3.9
% Problem  : SET058-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n008.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 05:23:16 EDT 2022

% Result   : Unsatisfiable 0.19s 0.42s
% 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
% 0.12/0.12  % Problem  : SET058-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 04:16:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.42  
% 0.19/0.42  SPASS V 3.9 
% 0.19/0.42  SPASS beiseite: Proof found.
% 0.19/0.42  % SZS status Theorem
% 0.19/0.42  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.42  SPASS derived 16 clauses, backtracked 0 clauses, performed 0 splits and kept 113 clauses.
% 0.19/0.42  SPASS allocated 75751 KBytes.
% 0.19/0.42  SPASS spent	0:00:00.07 on the problem.
% 0.19/0.42  		0:00:00.04 for the input.
% 0.19/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42  		0:00:00.00 for inferences.
% 0.19/0.42  		0:00:00.00 for the backtracking.
% 0.19/0.42  		0:00:00.01 for the reduction.
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  Here is a proof with depth 1, length 10 :
% 0.19/0.42  % SZS output start Refutation
% 0.19/0.42  7[0:Inp] ||  -> member(not_subclass_element(y__dfg,x__dfg),x__dfg)*.
% 0.19/0.42  8[0:Inp] || equal(x__dfg,y__dfg)** -> .
% 0.19/0.42  9[0:Inp] || member(not_subclass_element(x__dfg,y__dfg),x__dfg)* -> .
% 0.19/0.42  11[0:Inp] ||  -> subclass(u,v) member(not_subclass_element(u,v),u)*.
% 0.19/0.42  12[0:Inp] || member(not_subclass_element(u,v),v)* -> subclass(u,v).
% 0.19/0.42  16[0:Inp] || subclass(u,v)* subclass(v,u)* -> equal(v,u).
% 0.19/0.42  103[0:Res:16.2,8.0] || subclass(x__dfg,y__dfg)*l subclass(y__dfg,x__dfg) -> .
% 0.19/0.42  109[0:Res:7.0,12.0] ||  -> subclass(y__dfg,x__dfg)*r.
% 0.19/0.43  117[0:Res:11.0,9.0] ||  -> subclass(x__dfg,y__dfg)*l.
% 0.19/0.43  125[0:MRR:103.0,103.1,117.0,109.0] ||  -> .
% 0.19/0.43  % SZS output end Refutation
% 0.19/0.43  Formulae used in the proof : prove_equality3_1 prove_equality3_2 prove_equality3_3 not_subclass_members1 not_subclass_members2 subclass_implies_equal
% 0.19/0.43  
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