%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV817-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n015.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 21:45:16 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ equal(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2,v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1)
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('SWV817-1.p',unknown),
    [] ).

cnf(6,axiom,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('SWV817-1.p',unknown),
    [] ).

cnf(7,axiom,
    equal(u,v_x),
    file('SWV817-1.p',unknown),
    [] ).

cnf(10,plain,
    ~ equal(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2,v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1),
    inference(mrr,[status(thm)],[3,6]),
    [iquote('0:MRR:3.1,6.0')] ).

cnf(12,plain,
    equal(u,v),
    inference(spr,[status(thm),theory(equality)],[7]),
    [iquote('0:SpR:7.0,7.0')] ).

cnf(13,plain,
    $false,
    inference(unc,[status(thm)],[12,10]),
    [iquote('0:UnC:12.0,10.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV817-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 13:33:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.41  
% 0.19/0.41  SPASS V 3.9 
% 0.19/0.41  SPASS beiseite: Proof found.
% 0.19/0.41  % SZS status Theorem
% 0.19/0.41  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.41  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 5 clauses.
% 0.19/0.41  SPASS allocated 63082 KBytes.
% 0.19/0.41  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.41  		0:00:00.04 for the input.
% 0.19/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41  		0:00:00.00 for inferences.
% 0.19/0.41  		0:00:00.00 for the backtracking.
% 0.19/0.41  		0:00:00.00 for the reduction.
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Here is a proof with depth 1, length 6 :
% 0.19/0.41  % SZS output start Refutation
% See solution above
% 0.19/0.41  Formulae used in the proof : cls_state__not__singleton__def__raw_0 cls_conjecture_0 cls_conjecture_1
% 0.19/0.41  
%------------------------------------------------------------------------------