%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS099+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 03:30:33 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   3 unt;   0 nHn;  12 RR)
%            Number of literals    :   27 (   0 equ;  17 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    cUnsatisfiable(i2003_11_14_17_20_29215),
    file('KRS099+1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ cUnsatisfiable(u)
    | skP0(u) ),
    file('KRS099+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ cUnsatisfiable(u)
    | rtt(u,skf7(u)) ),
    file('KRS099+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ cUnsatisfiable(u)
    | rtt(u,skf6(u)) ),
    file('KRS099+1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ cUnsatisfiable(u)
    | ~ equal(skf7(u),skf6(u)) ),
    file('KRS099+1.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ skP0(u)
    | ~ rtt(u,v)
    | ~ rtt(u,w)
    | equal(w,v) ),
    file('KRS099+1.p',unknown),
    [] ).

cnf(30,plain,
    ( ~ cUnsatisfiable(u)
    | ~ skP0(u)
    | ~ rtt(u,v)
    | equal(v,skf6(u)) ),
    inference(res,[status(thm),theory(equality)],[12,19]),
    [iquote('0:Res:12.1,19.1')] ).

cnf(33,plain,
    ( ~ cUnsatisfiable(u)
    | ~ rtt(u,v)
    | equal(v,skf6(u)) ),
    inference(ssi,[status(thm)],[30,5]),
    [iquote('0:SSi:30.1,5.1')] ).

cnf(39,plain,
    ( ~ cUnsatisfiable(u)
    | ~ cUnsatisfiable(u)
    | equal(skf7(u),skf6(u)) ),
    inference(res,[status(thm),theory(equality)],[11,33]),
    [iquote('0:Res:11.1,33.1')] ).

cnf(41,plain,
    ( ~ cUnsatisfiable(u)
    | equal(skf7(u),skf6(u)) ),
    inference(obv,[status(thm),theory(equality)],[39]),
    [iquote('0:Obv:39.0')] ).

cnf(42,plain,
    ~ cUnsatisfiable(u),
    inference(mrr,[status(thm)],[41,17]),
    [iquote('0:MRR:41.1,17.1')] ).

cnf(43,plain,
    $false,
    inference(unc,[status(thm)],[42,2]),
    [iquote('0:UnC:42.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : KRS099+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun  7 09:26:53 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  
% 0.19/0.44  SPASS V 3.9 
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 15 clauses, backtracked 0 clauses, performed 0 splits and kept 27 clauses.
% 0.19/0.44  SPASS allocated 97816 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.10 on the problem.
% 0.19/0.44  		0:00:00.03 for the input.
% 0.19/0.44  		0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.00 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 2, length 12 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : axiom_5 axiom_2
% 0.19/0.44  
%------------------------------------------------------------------------------