%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM843+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 14:30:58 EDT 2022

% Result   : Theorem 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM843+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n026.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 : Thu Jul  7 10:27:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.55  
% 0.19/0.55  SPASS V 3.9 
% 0.19/0.55  SPASS beiseite: Proof found.
% 0.19/0.55  % SZS status Theorem
% 0.19/0.55  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.55  SPASS derived 1043 clauses, backtracked 10 clauses, performed 1 splits and kept 605 clauses.
% 0.19/0.55  SPASS allocated 85961 KBytes.
% 0.19/0.55  SPASS spent	0:00:00.20 on the problem.
% 0.19/0.55  		0:00:00.04 for the input.
% 0.19/0.55  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.55  		0:00:00.01 for inferences.
% 0.19/0.55  		0:00:00.00 for the backtracking.
% 0.19/0.55  		0:00:00.10 for the reduction.
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  Here is a proof with depth 3, length 14 :
% 0.19/0.55  % SZS output start Refutation
% 0.19/0.55  2[0:Inp] || greater(vd390,vd391)* -> .
% 0.19/0.55  3[0:Inp] || leq(vd390,vd391)*r -> .
% 0.19/0.55  18[0:Inp] || less(u,v)* -> leq(u,v).
% 0.19/0.55  19[0:Inp] || equal(u,v)* -> leq(u,v).
% 0.19/0.55  28[0:Inp] ||  -> less(u,v) greater(u,v)* equal(u,v).
% 0.19/0.55  59[0:Res:28.1,2.0] ||  -> less(vd390,vd391)*r equal(vd391,vd390).
% 0.19/0.55  63[1:Spt:59.1] ||  -> equal(vd391,vd390)**.
% 0.19/0.55  68[1:Rew:63.0,3.0] || leq(vd390,vd390)* -> .
% 0.19/0.55  560[0:EqR:19.0] ||  -> leq(u,u)*.
% 0.19/0.55  561[1:UnC:560.0,68.0] ||  -> .
% 0.19/0.55  562[1:Spt:561.0,59.1,63.0] || equal(vd391,vd390)** -> .
% 0.19/0.55  563[1:Spt:561.0,59.0] ||  -> less(vd390,vd391)*r.
% 0.19/0.55  1229[1:Res:563.0,18.0] ||  -> leq(vd390,vd391)*r.
% 0.19/0.55  1241[1:MRR:1229.0,3.0] ||  -> .
% 0.19/0.55  % SZS output end Refutation
% 0.19/0.55  Formulae used in the proof : holds_a40_244_a44__a32_394_a44__a32_0_a41_ holds_a40_conjunct2_a40_243_a41__a44__a32_393_a44__a32_0_a41_ def_a40_cond_a40_conseq_a40_axiom_a40_3_a41__a41__a44__a32_17_a41__a44__a32_1_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_0_a41_
% 0.19/0.55  
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