%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN152-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 12:19:04 EDT 2022

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ n2(e),
    file('SYN152-1.p',unknown),
    [] ).

cnf(14,axiom,
    r0(e),
    file('SYN152-1.p',unknown),
    [] ).

cnf(29,axiom,
    k0(e),
    file('SYN152-1.p',unknown),
    [] ).

cnf(129,axiom,
    ( ~ r0(e)
    | ~ k0(e)
    | p1(e,e,e) ),
    file('SYN152-1.p',unknown),
    [] ).

cnf(176,axiom,
    ( ~ p1(u,v,w)
    | n2(w) ),
    file('SYN152-1.p',unknown),
    [] ).

cnf(382,plain,
    p1(e,e,e),
    inference(mrr,[status(thm)],[129,14,29]),
    [iquote('0:MRR:129.0,129.1,14.0,29.0')] ).

cnf(419,plain,
    ~ p1(u,v,e),
    inference(res,[status(thm),theory(equality)],[176,1]),
    [iquote('0:Res:176.1,1.0')] ).

cnf(420,plain,
    $false,
    inference(unc,[status(thm)],[419,382]),
    [iquote('0:UnC:419.0,382.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN152-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 03:57:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  
% 0.19/0.46  SPASS V 3.9 
% 0.19/0.46  SPASS beiseite: Proof found.
% 0.19/0.46  % SZS status Theorem
% 0.19/0.46  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.46  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 334 clauses.
% 0.19/0.46  SPASS allocated 76097 KBytes.
% 0.19/0.46  SPASS spent	0:00:00.10 on the problem.
% 0.19/0.46  		0:00:00.04 for the input.
% 0.19/0.46  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.46  		0:00:00.00 for inferences.
% 0.19/0.46  		0:00:00.00 for the backtracking.
% 0.19/0.46  		0:00:00.02 for the reduction.
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  Here is a proof with depth 1, length 8 :
% 0.19/0.46  % SZS output start Refutation
% See solution above
% 0.19/0.46  Formulae used in the proof : prove_this axiom_13 axiom_28 rule_090 rule_137
% 0.19/0.46  
%------------------------------------------------------------------------------