%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : FLD021-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Sat Jul 16 02:28:20 EDT 2022

% Result   : Unsatisfiable 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : FLD021-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun  6 16:29:39 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.44  
% 0.22/0.44  SPASS V 3.9 
% 0.22/0.44  SPASS beiseite: Proof found.
% 0.22/0.44  % SZS status Theorem
% 0.22/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.22/0.44  SPASS derived 24 clauses, backtracked 0 clauses, performed 0 splits and kept 49 clauses.
% 0.22/0.44  SPASS allocated 75655 KBytes.
% 0.22/0.44  SPASS spent	0:00:00.06 on the problem.
% 0.22/0.44  		0:00:00.03 for the input.
% 0.22/0.44  		0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.44  		0:00:00.00 for inferences.
% 0.22/0.44  		0:00:00.00 for the backtracking.
% 0.22/0.44  		0:00:00.00 for the reduction.
% 0.22/0.44  
% 0.22/0.44  
% 0.22/0.44  Here is a proof with depth 3, length 11 :
% 0.22/0.44  % SZS output start Refutation
% 0.22/0.44  1[0:Inp] ||  -> defined(a)*.
% 0.22/0.44  3[0:Inp] ||  -> equalish(m,additive_identity)*l.
% 0.22/0.44  4[0:Inp] || equalish(add(m,a),a)*l -> .
% 0.22/0.44  6[0:Inp] defined(u) ||  -> equalish(add(additive_identity,u),u)*l.
% 0.22/0.44  27[0:Inp] || equalish(u,v)* equalish(v,w)* -> equalish(u,w)*.
% 0.22/0.44  28[0:Inp] defined(u) || equalish(v,w) -> equalish(add(v,u),add(w,u))*.
% 0.22/0.44  34[0:Res:3.0,28.1] defined(u) ||  -> equalish(add(m,u),add(additive_identity,u))*l.
% 0.22/0.44  47[0:NCh:27.2,27.0,34.1,4.0] defined(a) || equalish(add(additive_identity,a),a)*l -> .
% 0.22/0.44  48[0:SSi:47.0,1.0] || equalish(add(additive_identity,a),a)*l -> .
% 0.22/0.44  63[0:Res:6.1,48.0] defined(a) ||  -> .
% 0.22/0.44  65[0:SSi:63.0,1.0] ||  -> .
% 0.22/0.44  % SZS output end Refutation
% 0.22/0.44  Formulae used in the proof : a_is_defined m_equals_additive_identity_3 add_not_equal_to_a_4 existence_of_identity_addition transitivity_of_equality compatibility_of_equality_and_addition
% 0.22/0.44  
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