%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN201-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 12:19:24 EDT 2022

% Result   : Unsatisfiable 0.22s 0.49s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  13 RR)
%            Number of literals    :   19 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 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,
    ~ s2(b),
    file('SYN201-1.p',unknown),
    [] ).

cnf(15,axiom,
    p0(b,u),
    file('SYN201-1.p',unknown),
    [] ).

cnf(16,axiom,
    n0(a,b),
    file('SYN201-1.p',unknown),
    [] ).

cnf(41,axiom,
    ( ~ n0(u,v)
    | l1(v,v) ),
    file('SYN201-1.p',unknown),
    [] ).

cnf(164,axiom,
    ( ~ p0(u,u)
    | s1(u) ),
    file('SYN201-1.p',unknown),
    [] ).

cnf(225,axiom,
    ( ~ l1(u,v)
    | q2(v,v,u) ),
    file('SYN201-1.p',unknown),
    [] ).

cnf(228,axiom,
    ( ~ s1(b)
    | ~ q2(b,u,b)
    | s2(u) ),
    file('SYN201-1.p',unknown),
    [] ).

cnf(419,plain,
    ( ~ s1(b)
    | ~ q2(b,b,b) ),
    inference(res,[status(thm),theory(equality)],[228,1]),
    [iquote('0:Res:228.2,1.0')] ).

cnf(454,plain,
    s1(b),
    inference(res,[status(thm),theory(equality)],[15,164]),
    [iquote('0:Res:15.0,164.0')] ).

cnf(455,plain,
    ~ q2(b,b,b),
    inference(mrr,[status(thm)],[419,454]),
    [iquote('0:MRR:419.0,454.0')] ).

cnf(476,plain,
    l1(b,b),
    inference(res,[status(thm),theory(equality)],[16,41]),
    [iquote('0:Res:16.0,41.0')] ).

cnf(502,plain,
    q2(b,b,b),
    inference(res,[status(thm),theory(equality)],[476,225]),
    [iquote('0:Res:476.0,225.0')] ).

cnf(503,plain,
    $false,
    inference(mrr,[status(thm)],[502,455]),
    [iquote('0:MRR:502.0,455.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem  : SYN201-1 : TPTP v8.1.0. Released v1.1.0.
% 0.14/0.15  % Command  : run_spass %d %s
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Tue Jul 12 04:00:24 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.49  
% 0.22/0.49  SPASS V 3.9 
% 0.22/0.49  SPASS beiseite: Proof found.
% 0.22/0.49  % SZS status Theorem
% 0.22/0.49  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.22/0.49  SPASS derived 49 clauses, backtracked 0 clauses, performed 0 splits and kept 374 clauses.
% 0.22/0.49  SPASS allocated 76131 KBytes.
% 0.22/0.49  SPASS spent	0:00:00.11 on the problem.
% 0.22/0.49  		0:00:00.04 for the input.
% 0.22/0.49  		0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.49  		0:00:00.00 for inferences.
% 0.22/0.49  		0:00:00.00 for the backtracking.
% 0.22/0.49  		0:00:00.03 for the reduction.
% 0.22/0.49  
% 0.22/0.49  
% 0.22/0.49  Here is a proof with depth 2, length 13 :
% 0.22/0.49  % SZS output start Refutation
% See solution above
% 0.22/0.49  Formulae used in the proof : prove_this axiom_14 axiom_15 rule_002 rule_125 rule_186 rule_189
% 0.22/0.49  
%------------------------------------------------------------------------------