%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n019.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 : Sun Jul 17 03:30:32 EDT 2022

% Result   : Unsatisfiable 0.19s 0.42s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   3 unt;   0 nHn;  12 RR)
%            Number of literals    :   25 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    cUnsatisfiable(i2003_11_14_17_20_04172),
    file('KRS092+1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ cd(u)
    | ~ cc(u) ),
    file('KRS092+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ cUnsatisfiable(u)
    | rr(u,skf2(u)) ),
    file('KRS092+1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ cUnsatisfiable(u)
    | ~ rr(u,v)
    | cd(v) ),
    file('KRS092+1.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ cUnsatisfiable(u)
    | ~ rr(u,v)
    | cc(v) ),
    file('KRS092+1.p',unknown),
    [] ).

cnf(30,plain,
    ( ~ cUnsatisfiable(u)
    | ~ cUnsatisfiable(u)
    | cc(skf2(u)) ),
    inference(res,[status(thm),theory(equality)],[12,15]),
    [iquote('0:Res:12.1,15.1')] ).

cnf(31,plain,
    ( ~ cUnsatisfiable(u)
    | cc(skf2(u)) ),
    inference(obv,[status(thm),theory(equality)],[30]),
    [iquote('0:Obv:30.0')] ).

cnf(32,plain,
    ( ~ cUnsatisfiable(u)
    | ~ cUnsatisfiable(u)
    | cd(skf2(u)) ),
    inference(res,[status(thm),theory(equality)],[12,14]),
    [iquote('0:Res:12.1,14.1')] ).

cnf(33,plain,
    ( ~ cUnsatisfiable(u)
    | cd(skf2(u)) ),
    inference(obv,[status(thm),theory(equality)],[32]),
    [iquote('0:Obv:32.0')] ).

cnf(35,plain,
    ( ~ cUnsatisfiable(u)
    | ~ cUnsatisfiable(u) ),
    inference(ems,[status(thm)],[10,33,31]),
    [iquote('0:EmS:10.0,10.1,33.1,31.1')] ).

cnf(37,plain,
    ~ cUnsatisfiable(u),
    inference(obv,[status(thm),theory(equality)],[35]),
    [iquote('0:Obv:35.0')] ).

cnf(38,plain,
    $false,
    inference(unc,[status(thm)],[37,2]),
    [iquote('0:UnC:37.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n019.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 : Tue Jun  7 12:27:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.42  
% 0.19/0.42  SPASS V 3.9 
% 0.19/0.42  SPASS beiseite: Proof found.
% 0.19/0.42  % SZS status Theorem
% 0.19/0.42  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.42  SPASS derived 7 clauses, backtracked 0 clauses, performed 0 splits and kept 22 clauses.
% 0.19/0.42  SPASS allocated 97712 KBytes.
% 0.19/0.42  SPASS spent	0:00:00.08 on the problem.
% 0.19/0.42  		0:00:00.03 for the input.
% 0.19/0.42  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.42  		0:00:00.00 for inferences.
% 0.19/0.42  		0:00:00.00 for the backtracking.
% 0.19/0.42  		0:00:00.00 for the reduction.
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  Here is a proof with depth 2, length 12 :
% 0.19/0.42  % SZS output start Refutation
% See solution above
% 0.19/0.42  Formulae used in the proof : axiom_8 axiom_3 axiom_2 axiom_0
% 0.19/0.42  
%------------------------------------------------------------------------------