%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : FLD030-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 02:28:23 EDT 2022

% Result   : Unsatisfiable 0.18s 0.42s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : FLD030-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n018.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 : Tue Jun  7 02:27:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.42  
% 0.18/0.42  SPASS V 3.9 
% 0.18/0.42  SPASS beiseite: Proof found.
% 0.18/0.42  % SZS status Theorem
% 0.18/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.42  SPASS derived 137 clauses, backtracked 0 clauses, performed 0 splits and kept 109 clauses.
% 0.18/0.42  SPASS allocated 75807 KBytes.
% 0.18/0.42  SPASS spent	0:00:00.08 on the problem.
% 0.18/0.42  		0:00:00.04 for the input.
% 0.18/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.42  		0:00:00.00 for inferences.
% 0.18/0.42  		0:00:00.00 for the backtracking.
% 0.18/0.42  		0:00:00.02 for the reduction.
% 0.18/0.42  
% 0.18/0.42  
% 0.18/0.42  Here is a proof with depth 2, length 13 :
% 0.18/0.42  % SZS output start Refutation
% 0.18/0.42  2[0:Inp] ||  -> defined(b)*.
% 0.18/0.42  5[0:Inp] ||  -> equalish(multiply(a,b),c)*l.
% 0.18/0.42  6[0:Inp] ||  -> equalish(a,d)*l.
% 0.18/0.42  7[0:Inp] || equalish(multiply(d,b),c)*l -> .
% 0.18/0.42  29[0:Inp] || equalish(u,v)* -> equalish(v,u).
% 0.18/0.42  30[0:Inp] || equalish(u,v)* equalish(v,w)* -> equalish(u,w)*.
% 0.18/0.42  32[0:Inp] defined(u) || equalish(v,w) -> equalish(multiply(v,u),multiply(w,u))*.
% 0.18/0.42  36[0:Res:6.0,32.1] defined(u) ||  -> equalish(multiply(a,u),multiply(d,u))*l.
% 0.18/0.42  39[0:Res:5.0,29.0] ||  -> equalish(c,multiply(a,b))*r.
% 0.18/0.42  43[0:Res:29.1,7.0] || equalish(c,multiply(d,b))*r -> .
% 0.18/0.42  227[0:OCh:30.1,30.0,36.1,39.0] defined(b) ||  -> equalish(c,multiply(d,b))*r.
% 0.18/0.42  230[0:SSi:227.0,2.0] ||  -> equalish(c,multiply(d,b))*r.
% 0.18/0.42  231[0:MRR:230.0,43.0] ||  -> .
% 0.18/0.42  % SZS output end Refutation
% 0.18/0.42  Formulae used in the proof : b_is_defined multiply_equals_c_5 a_equals_d_6 multiply_not_equal_to_c_7 symmetry_of_equality transitivity_of_equality compatibility_of_equality_and_multiplication
% 0.18/0.42  
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