%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV243-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Wed Jul 20 21:41:46 EDT 2022

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   6 RR)
%            Number of literals    :    6 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(c_union(c_Message_Oanalz(c_union(u,v,tc_Message_Omsg)),c_Message_Osynth(u),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(u),v,tc_Message_Omsg))),
    file('SWV243-2.p',unknown),
    [] ).

cnf(2,axiom,
    equal(c_union(u,c_emptyset,v),u),
    file('SWV243-2.p',unknown),
    [] ).

cnf(3,axiom,
    ~ equal(c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(v_H))),
    file('SWV243-2.p',unknown),
    [] ).

cnf(7,plain,
    equal(c_union(c_Message_Oanalz(u),c_Message_Osynth(u),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(u),c_emptyset,tc_Message_Omsg))),
    inference(spr,[status(thm),theory(equality)],[2,1]),
    [iquote('0:SpR:2.0,1.0')] ).

cnf(8,plain,
    equal(c_union(c_Message_Oanalz(u),c_Message_Osynth(u),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(u))),
    inference(rew,[status(thm),theory(equality)],[2,7]),
    [iquote('0:Rew:2.0,7.0')] ).

cnf(9,plain,
    $false,
    inference(unc,[status(thm)],[8,3]),
    [iquote('0:UnC:8.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV243-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n027.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 : Tue Jun 14 22:46:48 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.42  
% 0.20/0.42  SPASS V 3.9 
% 0.20/0.42  SPASS beiseite: Proof found.
% 0.20/0.42  % SZS status Theorem
% 0.20/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.42  SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 5 clauses.
% 0.20/0.42  SPASS allocated 63095 KBytes.
% 0.20/0.42  SPASS spent	0:00:00.06 on the problem.
% 0.20/0.42  		0:00:00.04 for the input.
% 0.20/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42  		0:00:00.00 for inferences.
% 0.20/0.42  		0:00:00.00 for the backtracking.
% 0.20/0.42  		0:00:00.00 for the reduction.
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  Here is a proof with depth 1, length 6 :
% 0.20/0.42  % SZS output start Refutation
% See solution above
% 0.20/0.42  Formulae used in the proof : cls_Message_Oanalz__synth__Un_0 cls_Set_OUn__empty__right_0 cls_conjecture_0
% 0.20/0.42  
%------------------------------------------------------------------------------