%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN255-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n014.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 12:19:46 EDT 2022

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   0 equ;   6 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    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ n2(a),
    file('SYN255-1.p',unknown),
    [] ).

cnf(10,axiom,
    r0(b),
    file('SYN255-1.p',unknown),
    [] ).

cnf(21,axiom,
    l0(a),
    file('SYN255-1.p',unknown),
    [] ).

cnf(126,axiom,
    ( ~ r0(b)
    | ~ p1(a,a,a)
    | p1(a,b,a) ),
    file('SYN255-1.p',unknown),
    [] ).

cnf(127,axiom,
    ( ~ l0(a)
    | p1(a,a,a) ),
    file('SYN255-1.p',unknown),
    [] ).

cnf(176,axiom,
    ( ~ p1(u,v,w)
    | n2(w) ),
    file('SYN255-1.p',unknown),
    [] ).

cnf(371,plain,
    p1(a,a,a),
    inference(mrr,[status(thm)],[127,21]),
    [iquote('0:MRR:127.0,21.0')] ).

cnf(389,plain,
    p1(a,b,a),
    inference(mrr,[status(thm)],[126,10,371]),
    [iquote('0:MRR:126.0,126.1,10.0,371.0')] ).

cnf(420,plain,
    ~ p1(u,v,a),
    inference(res,[status(thm),theory(equality)],[176,1]),
    [iquote('0:Res:176.1,1.0')] ).

cnf(421,plain,
    $false,
    inference(unc,[status(thm)],[420,389]),
    [iquote('0:UnC:420.0,389.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN255-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n014.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 : Mon Jul 11 17:26:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Proof found.
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 335 clauses.
% 0.18/0.45  SPASS allocated 76098 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.10 on the problem.
% 0.18/0.45  		0:00:00.04 for the input.
% 0.18/0.45  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.00 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.02 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 1, length 10 :
% 0.18/0.45  % SZS output start Refutation
% See solution above
% 0.18/0.45  Formulae used in the proof : prove_this axiom_9 axiom_20 rule_087 rule_088 rule_137
% 0.18/0.45  
%------------------------------------------------------------------------------