TSTP Solution File: SET056-7 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET056-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n005.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 05:23:14 EDT 2022

% Result   : Unsatisfiable 0.19s 0.43s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET056-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n005.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 14:47:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.43  
% 0.19/0.43  SPASS V 3.9 
% 0.19/0.43  SPASS beiseite: Proof found.
% 0.19/0.43  % SZS status Theorem
% 0.19/0.43  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  SPASS derived 16 clauses, backtracked 0 clauses, performed 0 splits and kept 113 clauses.
% 0.19/0.43  SPASS allocated 75752 KBytes.
% 0.19/0.43  SPASS spent	0:00:00.08 on the problem.
% 0.19/0.43  		0:00:00.04 for the input.
% 0.19/0.43  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43  		0:00:00.00 for inferences.
% 0.19/0.43  		0:00:00.00 for the backtracking.
% 0.19/0.43  		0:00:00.01 for the reduction.
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  Here is a proof with depth 1, length 9 :
% 0.19/0.43  % SZS output start Refutation
% 0.19/0.43  7[0:Inp] || equal(y__dfg,x__dfg)** -> .
% 0.19/0.43  8[0:Inp] || member(not_subclass_element(x__dfg,y__dfg),x__dfg)* -> .
% 0.19/0.43  9[0:Inp] || member(not_subclass_element(y__dfg,x__dfg),y__dfg)* -> .
% 0.19/0.43  11[0:Inp] ||  -> subclass(u,v) member(not_subclass_element(u,v),u)*.
% 0.19/0.43  16[0:Inp] || subclass(u,v)* subclass(v,u)* -> equal(v,u).
% 0.19/0.43  103[0:Res:16.2,7.0] || subclass(y__dfg,x__dfg)*l subclass(x__dfg,y__dfg) -> .
% 0.19/0.43  109[0:Res:11.0,9.0] ||  -> subclass(y__dfg,x__dfg)*l.
% 0.19/0.43  117[0:Res:11.0,8.0] ||  -> subclass(x__dfg,y__dfg)*r.
% 0.19/0.43  125[0:MRR:103.0,103.1,109.0,117.0] ||  -> .
% 0.19/0.43  % SZS output end Refutation
% 0.19/0.43  Formulae used in the proof : prove_equality1_1 prove_equality1_2 prove_equality1_3 not_subclass_members1 subclass_implies_equal
% 0.19/0.43  
%------------------------------------------------------------------------------