%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 03:30:38 EDT 2022

% Result   : Unsatisfiable 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   4 unt;   0 nHn;  14 RR)
%            Number of literals    :   25 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 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_22_10903),
    file('KRS124+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ cc(u)
    | cdxcomp(u) ),
    file('KRS124+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ ca_Ax3(u)
    | cd(u) ),
    file('KRS124+1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ ca_Ax3(u)
    | cc(u) ),
    file('KRS124+1.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ cUnsatisfiable(u)
    | rr(u,skf6(u)) ),
    file('KRS124+1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ cd(u)
    | ~ ra_Px1(u,v) ),
    file('KRS124+1.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ cdxcomp(u)
    | ra_Px1(u,skf9(u)) ),
    file('KRS124+1.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ cUnsatisfiable(u)
    | ~ rr(u,v)
    | ca_Ax3(v) ),
    file('KRS124+1.p',unknown),
    [] ).

cnf(56,plain,
    ( ~ cdxcomp(u)
    | ~ cd(u) ),
    inference(res,[status(thm),theory(equality)],[21,20]),
    [iquote('0:Res:21.1,20.1')] ).

cnf(59,plain,
    ( ~ cc(u)
    | ~ ca_Ax3(u) ),
    inference(ems,[status(thm)],[56,7,12]),
    [iquote('0:EmS:56.0,56.1,7.1,12.1')] ).

cnf(61,plain,
    ~ ca_Ax3(u),
    inference(ssi,[status(thm)],[59,13]),
    [iquote('0:SSi:59.0,13.1')] ).

cnf(63,plain,
    ( ~ cUnsatisfiable(u)
    | ~ rr(u,v) ),
    inference(mrr,[status(thm)],[25,61]),
    [iquote('0:MRR:25.2,61.0')] ).

cnf(64,plain,
    ~ cUnsatisfiable(u),
    inference(mrr,[status(thm)],[19,63]),
    [iquote('0:MRR:19.1,63.1')] ).

cnf(66,plain,
    $false,
    inference(unc,[status(thm)],[64,2]),
    [iquote('0:UnC:64.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun  7 09:28:35 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.45  
% 0.20/0.45  SPASS V 3.9 
% 0.20/0.45  SPASS beiseite: Proof found.
% 0.20/0.45  % SZS status Theorem
% 0.20/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.45  SPASS derived 18 clauses, backtracked 0 clauses, performed 0 splits and kept 34 clauses.
% 0.20/0.45  SPASS allocated 97726 KBytes.
% 0.20/0.45  SPASS spent	0:00:00.09 on the problem.
% 0.20/0.45  		0:00:00.04 for the input.
% 0.20/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.45  		0:00:00.00 for inferences.
% 0.20/0.45  		0:00:00.00 for the backtracking.
% 0.20/0.45  		0:00:00.00 for the reduction.
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  Here is a proof with depth 2, length 14 :
% 0.20/0.45  % SZS output start Refutation
% See solution above
% 0.20/0.45  Formulae used in the proof : axiom_13 axiom_3 axiom_12 axiom_2 axiom_0 axiom_7 axiom_6
% 0.20/0.45  
%------------------------------------------------------------------------------