%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV837-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n009.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 21:45:20 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(535,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(x,u,w)
    | c_Hoare__Mirabelle_Ohoare__derivs(x,v,w) ),
    file('SWV837-1.p',unknown),
    [] ).

cnf(569,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
    file('SWV837-1.p',unknown),
    [] ).

cnf(572,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
    file('SWV837-1.p',unknown),
    [] ).

cnf(573,axiom,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
    file('SWV837-1.p',unknown),
    [] ).

cnf(618,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,u,t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,u,t_a) ),
    inference(res,[status(thm),theory(equality)],[572,535]),
    [iquote('0:Res:572.0,535.0')] ).

cnf(746,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
    inference(res,[status(thm),theory(equality)],[569,618]),
    [iquote('0:Res:569.0,618.0')] ).

cnf(756,plain,
    $false,
    inference(mrr,[status(thm)],[746,573]),
    [iquote('0:MRR:746.0,573.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV837-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n009.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 Jun 16 06:52:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.54  
% 0.19/0.54  SPASS V 3.9 
% 0.19/0.54  SPASS beiseite: Proof found.
% 0.19/0.54  % SZS status Theorem
% 0.19/0.54  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.54  SPASS derived 75 clauses, backtracked 0 clauses, performed 0 splits and kept 514 clauses.
% 0.19/0.54  SPASS allocated 76674 KBytes.
% 0.19/0.54  SPASS spent	0:00:00.19 on the problem.
% 0.19/0.54  		0:00:00.05 for the input.
% 0.19/0.54  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.54  		0:00:00.00 for inferences.
% 0.19/0.54  		0:00:00.00 for the backtracking.
% 0.19/0.54  		0:00:00.08 for the reduction.
% 0.19/0.54  
% 0.19/0.54  
% 0.19/0.54  Here is a proof with depth 2, length 7 :
% 0.19/0.54  % SZS output start Refutation
% See solution above
% 0.19/0.54  Formulae used in the proof : cls_cut_0 cls_conjecture_0 cls_conjecture_3 cls_conjecture_4
% 0.19/0.54  
%------------------------------------------------------------------------------