%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN724-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : Thu Jul 21 12:23:56 EDT 2022

% Result   : Unsatisfiable 0.12s 0.40s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   19 (  10 unt;   1 nHn;  19 RR)
%            Number of literals    :   30 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ r(u)
    | s(u) ),
    file('SYN724-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( r(sk2)
    | r(sk1) ),
    file('SYN724-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ r(sk2)
    | ~ s(sk2)
    | r(sk1) ),
    file('SYN724-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ s(sk1)
    | r(sk2) ),
    file('SYN724-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ r(sk2)
    | ~ s(sk1)
    | ~ s(sk2) ),
    file('SYN724-1.p',unknown),
    [] ).

cnf(6,plain,
    ( ~ s(sk2)
    | r(sk1) ),
    inference(mrr,[status(thm)],[3,2]),
    [iquote('0:MRR:3.0,2.1')] ).

cnf(7,plain,
    ( ~ s(sk2)
    | ~ s(sk1) ),
    inference(mrr,[status(thm)],[5,4]),
    [iquote('0:MRR:5.0,4.1')] ).

cnf(13,plain,
    r(sk2),
    inference(spt,[spt(split,[position(s1)])],[2]),
    [iquote('1:Spt:2.0')] ).

cnf(14,plain,
    ( ~ r(sk2)
    | r(sk1) ),
    inference(res,[status(thm),theory(equality)],[1,6]),
    [iquote('0:Res:1.1,6.0')] ).

cnf(15,plain,
    r(sk1),
    inference(ssi,[status(thm)],[14,13]),
    [iquote('1:SSi:14.0,13.0')] ).

cnf(16,plain,
    ( ~ r(sk2)
    | ~ s(sk1) ),
    inference(res,[status(thm),theory(equality)],[1,7]),
    [iquote('0:Res:1.1,7.0')] ).

cnf(17,plain,
    ~ s(sk1),
    inference(ssi,[status(thm)],[16,13]),
    [iquote('1:SSi:16.0,13.0')] ).

cnf(18,plain,
    ~ r(sk1),
    inference(res,[status(thm),theory(equality)],[1,17]),
    [iquote('1:Res:1.1,17.0')] ).

cnf(19,plain,
    $false,
    inference(ssi,[status(thm)],[18,15]),
    [iquote('1:SSi:18.0,15.0')] ).

cnf(20,plain,
    ~ r(sk2),
    inference(spt,[spt(split,[position(sa)])],[19,13]),
    [iquote('1:Spt:19.0,2.0,13.0')] ).

cnf(21,plain,
    r(sk1),
    inference(spt,[spt(split,[position(s2)])],[2]),
    [iquote('1:Spt:19.0,2.1')] ).

cnf(22,plain,
    ~ s(sk1),
    inference(mrr,[status(thm)],[4,20]),
    [iquote('1:MRR:4.1,20.0')] ).

cnf(23,plain,
    ~ r(sk1),
    inference(res,[status(thm),theory(equality)],[1,22]),
    [iquote('1:Res:1.1,22.0')] ).

cnf(24,plain,
    $false,
    inference(ssi,[status(thm)],[23,21]),
    [iquote('1:SSi:23.0,21.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN724-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n015.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 Jul 11 16:15:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.40  
% 0.12/0.40  SPASS V 3.9 
% 0.12/0.40  SPASS beiseite: Proof found.
% 0.12/0.40  % SZS status Theorem
% 0.12/0.40  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.12/0.40  SPASS derived 5 clauses, backtracked 7 clauses, performed 1 splits and kept 13 clauses.
% 0.12/0.40  SPASS allocated 75586 KBytes.
% 0.12/0.40  SPASS spent	0:00:00.06 on the problem.
% 0.12/0.40  		0:00:00.04 for the input.
% 0.12/0.40  		0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.40  		0:00:00.00 for inferences.
% 0.12/0.40  		0:00:00.00 for the backtracking.
% 0.12/0.40  		0:00:00.00 for the reduction.
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  Here is a proof with depth 2, length 19 :
% 0.12/0.40  % SZS output start Refutation
% See solution above
% 0.12/0.40  Formulae used in the proof : thm31_3 thm31_4 thm31_9 thm31_10 thm31_15
% 0.12/0.40  
%------------------------------------------------------------------------------