%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS110+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 03:30:35 EDT 2022

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   4 unt;   0 nHn;  13 RR)
%            Number of literals    :   24 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    cUnsatisfiable(i2003_11_14_17_21_12565),
    file('KRS110+1.p',unknown),
    [] ).

cnf(4,axiom,
    ca_Ax2(skf5(u)),
    file('KRS110+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ ca_Ax2(u)
    | cp(u) ),
    file('KRS110+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ cUnsatisfiable(u)
    | rs(u,skf5(u)) ),
    file('KRS110+1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ cp(u)
    | ~ ra_Px1(u,v) ),
    file('KRS110+1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ cpxcomp(u)
    | ra_Px1(u,skf8(u)) ),
    file('KRS110+1.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ cUnsatisfiable(u)
    | ~ rs(u,v)
    | cpxcomp(v) ),
    file('KRS110+1.p',unknown),
    [] ).

cnf(34,plain,
    ( ~ cpxcomp(u)
    | ~ cp(u) ),
    inference(res,[status(thm),theory(equality)],[14,13]),
    [iquote('0:Res:14.1,13.1')] ).

cnf(42,plain,
    ( ~ cUnsatisfiable(u)
    | ~ cUnsatisfiable(u)
    | cpxcomp(skf5(u)) ),
    inference(res,[status(thm),theory(equality)],[12,24]),
    [iquote('0:Res:12.1,24.1')] ).

cnf(44,plain,
    ( ~ cUnsatisfiable(u)
    | cpxcomp(skf5(u)) ),
    inference(obv,[status(thm),theory(equality)],[42]),
    [iquote('0:Obv:42.0')] ).

cnf(45,plain,
    ( ~ cUnsatisfiable(u)
    | ~ ca_Ax2(skf5(u)) ),
    inference(ems,[status(thm)],[34,44,8]),
    [iquote('0:EmS:34.0,34.1,44.1,8.1')] ).

cnf(46,plain,
    ~ cUnsatisfiable(u),
    inference(ssi,[status(thm)],[45,4,44]),
    [iquote('0:SSi:45.1,4.1,44.0')] ).

cnf(47,plain,
    $false,
    inference(unc,[status(thm)],[46,2]),
    [iquote('0:UnC:46.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : KRS110+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.09  % Command  : run_spass %d %s
% 0.08/0.28  % Computer : n025.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Tue Jun  7 07:03:18 EDT 2022
% 0.12/0.28  % CPUTime  : 
% 0.12/0.37  
% 0.12/0.37  SPASS V 3.9 
% 0.12/0.37  SPASS beiseite: Proof found.
% 0.12/0.37  % SZS status Theorem
% 0.12/0.37  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.12/0.37  SPASS derived 15 clauses, backtracked 0 clauses, performed 0 splits and kept 36 clauses.
% 0.12/0.37  SPASS allocated 97788 KBytes.
% 0.12/0.37  SPASS spent	0:00:00.08 on the problem.
% 0.12/0.37  		0:00:00.03 for the input.
% 0.12/0.37  		0:00:00.03 for the FLOTTER CNF translation.
% 0.12/0.37  		0:00:00.00 for inferences.
% 0.12/0.37  		0:00:00.00 for the backtracking.
% 0.12/0.37  		0:00:00.00 for the reduction.
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  Here is a proof with depth 2, length 13 :
% 0.12/0.37  % SZS output start Refutation
% See solution above
% 0.12/0.37  Formulae used in the proof : axiom_12 axiom_2 axiom_4 axiom_5 axiom_3
% 0.12/0.37  
%------------------------------------------------------------------------------