TSTP Solution File: SWW965+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWW965+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 01:29:25 EDT 2022

% Result   : Theorem 0.18s 0.46s
% Output   : Refutation 0.18s
% 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    :   21 (  21 usr;   9 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(13,axiom,
    ~ pred_attacker(name_objective),
    file('SWW965+1.p',unknown),
    [] ).

cnf(14,axiom,
    pred_eq_bitstring_bitstring(u,v),
    file('SWW965+1.p',unknown),
    [] ).

cnf(16,axiom,
    pred_attacker(name_new0x2Dname(u)),
    file('SWW965+1.p',unknown),
    [] ).

cnf(108,axiom,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    file('SWW965+1.p',unknown),
    [] ).

cnf(137,axiom,
    ( ~ pred_attacker(tuple_client_B_out_6(u))
    | pred_attacker(u) ),
    file('SWW965+1.p',unknown),
    [] ).

cnf(140,axiom,
    ( ~ pred_attacker(u)
    | pred_attacker(tuple_client_B_in_5(u)) ),
    file('SWW965+1.p',unknown),
    [] ).

cnf(142,axiom,
    ( ~ pred_attacker(u)
    | pred_attacker(tuple_client_B_in_3(u)) ),
    file('SWW965+1.p',unknown),
    [] ).

cnf(144,axiom,
    ( ~ pred_attacker(u)
    | pred_attacker(tuple_client_B_in_2(u)) ),
    file('SWW965+1.p',unknown),
    [] ).

cnf(186,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_adec(v,name_skB)))
    | ~ pred_attacker(tuple_client_B_in_5(w))
    | ~ pred_eq_bitstring_bitstring(name_Nb(x),constr_adec(w,name_skB))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('SWW965+1.p',unknown),
    [] ).

cnf(190,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)],[186,14]),
    [iquote('0:MRR:186.1,186.3,186.5,14.0,14.0,14.0')] ).

cnf(203,plain,
    ~ pred_attacker(tuple_client_B_out_6(name_objective)),
    inference(res,[status(thm),theory(equality)],[137,13]),
    [iquote('0:Res:137.1,13.0')] ).

cnf(218,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)],[190,203]),
    [iquote('0:MRR:190.3,203.0')] ).

cnf(219,plain,
    ~ pred_attacker(tuple_client_B_in_2(u)),
    inference(spt,[spt(split,[position(s1)])],[218]),
    [iquote('1:Spt:218.2')] ).

cnf(220,plain,
    ~ pred_attacker(u),
    inference(mrr,[status(thm)],[144,219]),
    [iquote('1:MRR:144.1,219.0')] ).

cnf(221,plain,
    $false,
    inference(unc,[status(thm)],[220,16]),
    [iquote('1:UnC:220.0,16.0')] ).

cnf(222,plain,
    ( ~ pred_attacker(tuple_client_B_in_5(u))
    | ~ pred_attacker(tuple_client_B_in_3(v)) ),
    inference(spt,[spt(split,[position(s2)])],[218]),
    [iquote('1:Spt:221.0,218.0,218.1')] ).

cnf(231,plain,
    ( ~ pred_attacker(u)
    | ~ pred_attacker(tuple_client_B_in_3(v)) ),
    inference(res,[status(thm),theory(equality)],[140,222]),
    [iquote('1:Res:140.1,222.0')] ).

cnf(233,plain,
    ~ pred_attacker(tuple_client_B_in_3(u)),
    inference(con,[status(thm)],[231]),
    [iquote('1:Con:231.0')] ).

cnf(234,plain,
    ~ pred_attacker(u),
    inference(mrr,[status(thm)],[142,233]),
    [iquote('1:MRR:142.1,233.0')] ).

cnf(235,plain,
    $false,
    inference(unc,[status(thm)],[234,108]),
    [iquote('1:UnC:234.0,108.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW965+1 : TPTP v8.1.0. Released v7.4.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n020.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 : Mon Jun  6 08:15:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  
% 0.18/0.46  SPASS V 3.9 
% 0.18/0.46  SPASS beiseite: Proof found.
% 0.18/0.46  % SZS status Theorem
% 0.18/0.46  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.46  SPASS derived 38 clauses, backtracked 5 clauses, performed 1 splits and kept 223 clauses.
% 0.18/0.46  SPASS allocated 97988 KBytes.
% 0.18/0.46  SPASS spent	0:00:00.11 on the problem.
% 0.18/0.46  		0:00:00.04 for the input.
% 0.18/0.46  		0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.46  		0:00:00.00 for inferences.
% 0.18/0.46  		0:00:00.00 for the backtracking.
% 0.18/0.46  		0:00:00.01 for the reduction.
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  Here is a proof with depth 2, length 20 :
% 0.18/0.46  % SZS output start Refutation
% See solution above
% 0.18/0.46  Formulae used in the proof : co0 ax103 ax173 ax176 ax131 ax137 ax139 ax141 ax184
% 0.18/0.46  
%------------------------------------------------------------------------------