%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n014.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 : Mon Jul 18 14:23:36 EDT 2022

% Result   : Unsatisfiable 0.17s 0.54s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : run_spass %d %s
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jul  5 22:36:38 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.54  
% 0.17/0.54  SPASS V 3.9 
% 0.17/0.54  SPASS beiseite: Proof found.
% 0.17/0.54  % SZS status Theorem
% 0.17/0.54  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.17/0.54  SPASS derived 638 clauses, backtracked 0 clauses, performed 0 splits and kept 393 clauses.
% 0.17/0.54  SPASS allocated 64033 KBytes.
% 0.17/0.54  SPASS spent	0:00:00.20 on the problem.
% 0.17/0.54  		0:00:00.04 for the input.
% 0.17/0.54  		0:00:00.00 for the FLOTTER CNF translation.
% 0.17/0.54  		0:00:00.02 for inferences.
% 0.17/0.54  		0:00:00.00 for the backtracking.
% 0.17/0.54  		0:00:00.12 for the reduction.
% 0.17/0.54  
% 0.17/0.54  
% 0.17/0.54  Here is a proof with depth 3, length 11 :
% 0.17/0.54  % SZS output start Refutation
% 0.17/0.54  1[0:Inp] || equalish(subtract(add(a,b),c),add(a,subtract(b,c)))*r -> .
% 0.17/0.54  2[0:Inp] ||  -> equalish(u,u)*.
% 0.17/0.54  3[0:Inp] || equalish(u,v)* equalish(v,w)* -> equalish(u,w)*.
% 0.17/0.54  4[0:Inp] ||  -> equalish(add(u,v),add(v,u))*.
% 0.17/0.54  9[0:Inp] ||  -> equalish(subtract(add(u,v),w),add(subtract(u,w),v))*r.
% 0.17/0.54  12[0:Inp] || equalish(u,v)* equalish(w,subtract(u,x))*+ -> equalish(w,subtract(v,x))*.
% 0.17/0.54  19[0:OCh:3.1,3.0,9.0,4.0] ||  -> equalish(subtract(add(u,v),w),add(v,subtract(u,w)))*r.
% 0.17/0.54  29[0:NCh:3.2,3.1,1.0,19.0] || equalish(subtract(add(a,b),c),subtract(add(b,a),c))*l -> .
% 0.17/0.54  89[0:Res:2.0,12.1] || equalish(u,v) -> equalish(subtract(u,w),subtract(v,w))*.
% 0.17/0.54  632[0:Res:89.1,29.0] || equalish(add(a,b),add(b,a))*l -> .
% 0.17/0.54  652[0:MRR:632.0,4.0] ||  -> .
% 0.17/0.54  % SZS output end Refutation
% 0.17/0.54  Formulae used in the proof : prove_equation reflexivity transitivity commutativity_of_addition commutativity2 subtract_substitution1
% 0.17/0.54  
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