TSTP Solution File: SWW963+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWW963+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 : Thu Jul 21 01:29:24 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   20 (  11 unt;   0 nHn;  20 RR)
%            Number of literals    :   37 (   0 equ;  26 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;   9 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    ~ pred_attacker(name_objective),
    file('SWW963+1.p',unknown),
    [] ).

cnf(13,axiom,
    pred_eq_bitstring_bitstring(u,v),
    file('SWW963+1.p',unknown),
    [] ).

cnf(15,axiom,
    pred_attacker(name_new0x2Dname(u)),
    file('SWW963+1.p',unknown),
    [] ).

cnf(94,axiom,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    file('SWW963+1.p',unknown),
    [] ).

cnf(124,axiom,
    ( ~ pred_attacker(tuple_client_B_out_6(u))
    | pred_attacker(u) ),
    file('SWW963+1.p',unknown),
    [] ).

cnf(127,axiom,
    ( ~ pred_attacker(u)
    | pred_attacker(tuple_client_B_in_5(u)) ),
    file('SWW963+1.p',unknown),
    [] ).

cnf(129,axiom,
    ( ~ pred_attacker(u)
    | pred_attacker(tuple_client_B_in_3(u)) ),
    file('SWW963+1.p',unknown),
    [] ).

cnf(131,axiom,
    ( ~ pred_attacker(u)
    | pred_attacker(tuple_client_B_in_2(u)) ),
    file('SWW963+1.p',unknown),
    [] ).

cnf(194,axiom,
    ( ~ pred_attacker(tuple_client_B_in_2(u))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(u,constr_pkey(name_skS))))
    | ~ pred_attacker(tuple_client_B_in_3(v))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(v,name_skB)))
    | ~ pred_attacker(tuple_client_B_in_5(w))
    | ~ pred_eq_bitstring_bitstring(name_Nb(x),constr_ecb_dec_1(w,name_skB))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('SWW963+1.p',unknown),
    [] ).

cnf(198,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(u))
    | ~ pred_attacker(tuple_client_B_in_3(v))
    | ~ pred_attacker(tuple_client_B_in_5(w))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(mrr,[status(thm)],[194,13]),
    [iquote('0:MRR:194.1,194.3,194.5,13.0,13.0,13.0')] ).

cnf(212,plain,
    ~ pred_attacker(tuple_client_B_out_6(name_objective)),
    inference(res,[status(thm),theory(equality)],[124,12]),
    [iquote('0:Res:124.1,12.0')] ).

cnf(232,plain,
    ( ~ pred_attacker(tuple_client_B_in_5(u))
    | ~ pred_attacker(tuple_client_B_in_3(v))
    | ~ pred_attacker(tuple_client_B_in_2(w)) ),
    inference(mrr,[status(thm)],[198,212]),
    [iquote('0:MRR:198.3,212.0')] ).

cnf(233,plain,
    ~ pred_attacker(tuple_client_B_in_2(u)),
    inference(spt,[spt(split,[position(s1)])],[232]),
    [iquote('1:Spt:232.2')] ).

cnf(234,plain,
    ~ pred_attacker(u),
    inference(mrr,[status(thm)],[131,233]),
    [iquote('1:MRR:131.1,233.0')] ).

cnf(235,plain,
    $false,
    inference(unc,[status(thm)],[234,15]),
    [iquote('1:UnC:234.0,15.0')] ).

cnf(236,plain,
    ( ~ pred_attacker(tuple_client_B_in_5(u))
    | ~ pred_attacker(tuple_client_B_in_3(v)) ),
    inference(spt,[spt(split,[position(s2)])],[232]),
    [iquote('1:Spt:235.0,232.0,232.1')] ).

cnf(242,plain,
    ( ~ pred_attacker(u)
    | ~ pred_attacker(tuple_client_B_in_3(v)) ),
    inference(res,[status(thm),theory(equality)],[127,236]),
    [iquote('1:Res:127.1,236.0')] ).

cnf(244,plain,
    ~ pred_attacker(tuple_client_B_in_3(u)),
    inference(con,[status(thm)],[242]),
    [iquote('1:Con:242.0')] ).

cnf(245,plain,
    ~ pred_attacker(u),
    inference(mrr,[status(thm)],[129,244]),
    [iquote('1:MRR:129.1,244.0')] ).

cnf(246,plain,
    $false,
    inference(unc,[status(thm)],[245,94]),
    [iquote('1:UnC:245.0,94.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW963+1 : TPTP v8.1.0. Released v7.4.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n021.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 : Sat Jun  4 08:04:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  
% 0.19/0.47  SPASS V 3.9 
% 0.19/0.47  SPASS beiseite: Proof found.
% 0.19/0.47  % SZS status Theorem
% 0.19/0.47  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.47  SPASS derived 42 clauses, backtracked 5 clauses, performed 1 splits and kept 238 clauses.
% 0.19/0.47  SPASS allocated 98053 KBytes.
% 0.19/0.47  SPASS spent	0:00:00.12 on the problem.
% 0.19/0.47  		0:00:00.04 for the input.
% 0.19/0.47  		0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.47  		0:00:00.00 for inferences.
% 0.19/0.47  		0:00:00.00 for the backtracking.
% 0.19/0.47  		0:00:00.01 for the reduction.
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  Here is a proof with depth 2, length 20 :
% 0.19/0.47  % SZS output start Refutation
% See solution above
% 0.19/0.47  Formulae used in the proof : co0 ax95 ax181 ax184 ax133 ax139 ax141 ax143 ax192
% 0.19/0.47  
%------------------------------------------------------------------------------