%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV339-2 : 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 21:42:22 EDT 2022

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    9 (   7 unt;   2 nHn;   9 RR)
%            Number of literals    :   11 (   0 equ;   1 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(u)),c_Event_Oused(v),tc_Message_Omsg),
    file('SWV339-2.p',unknown),
    [] ).

cnf(2,axiom,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('SWV339-2.p',unknown),
    [] ).

cnf(3,axiom,
    ( equal(c_Public_OshrK(v_A),v_K)
    | equal(c_Public_OshrK(v_B),v_K) ),
    file('SWV339-2.p',unknown),
    [] ).

cnf(4,plain,
    ( equal(c_Public_OshrK(v_B),v_K)
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(u),tc_Message_Omsg) ),
    inference(spr,[status(thm),theory(equality)],[3,1]),
    [iquote('0:SpR:3.0,1.0')] ).

cnf(6,plain,
    c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(u),tc_Message_Omsg),
    inference(spt,[spt(split,[position(s1)])],[4]),
    [iquote('1:Spt:4.1')] ).

cnf(7,plain,
    $false,
    inference(unc,[status(thm)],[6,2]),
    [iquote('1:UnC:6.0,2.0')] ).

cnf(8,plain,
    equal(c_Public_OshrK(v_B),v_K),
    inference(spt,[spt(split,[position(s2)])],[4]),
    [iquote('1:Spt:7.0,4.0')] ).

cnf(9,plain,
    c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(u),tc_Message_Omsg),
    inference(spr,[status(thm),theory(equality)],[8,1]),
    [iquote('1:SpR:8.0,1.0')] ).

cnf(11,plain,
    $false,
    inference(unc,[status(thm)],[9,2]),
    [iquote('1:UnC:9.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV339-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 15 10:24:19 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 5 clauses, backtracked 1 clauses, performed 1 splits and kept 7 clauses.
% 0.20/0.42  SPASS allocated 63082 KBytes.
% 0.20/0.42  SPASS spent	0:00:00.05 on the problem.
% 0.20/0.42  		0:00:00.03 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 3, length 9 :
% 0.20/0.42  % SZS output start Refutation
% See solution above
% 0.20/0.42  Formulae used in the proof : cls_Public_OshrK__in__used_0 cls_conjecture_6 cls_conjecture_8
% 0.20/0.42  
%------------------------------------------------------------------------------