%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN114-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n017.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 12:18:48 EDT 2022

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   12 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   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,
    ~ k3(u,u,b),
    file('SYN114-1.p',unknown),
    [] ).

cnf(16,axiom,
    n0(a,b),
    file('SYN114-1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ n0(u,v)
    | k1(v) ),
    file('SYN114-1.p',unknown),
    [] ).

cnf(175,axiom,
    ( ~ k1(b)
    | m2(b) ),
    file('SYN114-1.p',unknown),
    [] ).

cnf(251,axiom,
    ( ~ m2(u)
    | k3(u,u,u) ),
    file('SYN114-1.p',unknown),
    [] ).

cnf(425,plain,
    ~ m2(b),
    inference(res,[status(thm),theory(equality)],[251,1]),
    [iquote('0:Res:251.1,1.0')] ).

cnf(435,plain,
    ~ k1(b),
    inference(mrr,[status(thm)],[175,425]),
    [iquote('0:MRR:175.1,425.0')] ).

cnf(478,plain,
    k1(b),
    inference(res,[status(thm),theory(equality)],[16,40]),
    [iquote('0:Res:16.0,40.0')] ).

cnf(486,plain,
    $false,
    inference(mrr,[status(thm)],[478,435]),
    [iquote('0:MRR:478.0,435.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11  % Problem  : SYN114-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n017.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 17:15:04 EDT 2022
% 0.12/0.33  % 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/sandbox/benchmark/theBenchmark.p 
% 0.19/0.46  SPASS derived 35 clauses, backtracked 0 clauses, performed 0 splits and kept 367 clauses.
% 0.19/0.46  SPASS allocated 76113 KBytes.
% 0.19/0.46  SPASS spent	0:00:00.11 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  		0:00:00.03 for the reduction.
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  Here is a proof with depth 1, length 9 :
% 0.19/0.46  % SZS output start Refutation
% See solution above
% 0.19/0.46  Formulae used in the proof : prove_this axiom_15 rule_001 rule_136 rule_212
% 0.19/0.46  
%------------------------------------------------------------------------------