%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN326-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n015.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 12:20:19 EDT 2022

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   8 RR)
%            Number of literals    :   11 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( g(y__dfg(u))
    | f(u,u) ),
    file('SYN326-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ h(u)
    | f(u,u) ),
    file('SYN326-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ g(u)
    | h(z__dfg(u)) ),
    file('SYN326-1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ f(z__dfg(u),z__dfg(u)),
    file('SYN326-1.p',unknown),
    [] ).

cnf(11,plain,
    ~ h(z__dfg(u)),
    inference(res,[status(thm),theory(equality)],[3,7]),
    [iquote('0:Res:3.1,7.0')] ).

cnf(12,plain,
    ~ g(u),
    inference(mrr,[status(thm)],[5,11]),
    [iquote('0:MRR:5.1,11.0')] ).

cnf(14,plain,
    f(u,u),
    inference(mrr,[status(thm)],[2,12]),
    [iquote('0:MRR:2.0,12.0')] ).

cnf(15,plain,
    $false,
    inference(unc,[status(thm)],[14,7]),
    [iquote('0:UnC:14.0,7.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN326-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n015.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 : Tue Jul 12 04:26:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.40  
% 0.19/0.40  SPASS V 3.9 
% 0.19/0.40  SPASS beiseite: Proof found.
% 0.19/0.40  % SZS status Theorem
% 0.19/0.40  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.40  SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses.
% 0.19/0.40  SPASS allocated 75583 KBytes.
% 0.19/0.40  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.40  		0:00:00.04 for the input.
% 0.19/0.40  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.40  		0:00:00.00 for inferences.
% 0.19/0.40  		0:00:00.00 for the backtracking.
% 0.19/0.40  		0:00:00.00 for the reduction.
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Here is a proof with depth 1, length 8 :
% 0.19/0.40  % SZS output start Refutation
% See solution above
% 0.19/0.40  Formulae used in the proof : clause2 clause3 clause5 clause7
% 0.19/0.40  
%------------------------------------------------------------------------------