%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN009-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n010.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 12:17:13 EDT 2022

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   6 unt;   4 nHn;  13 RR)
%            Number of literals    :   28 (   0 equ;  16 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 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,
    ( ~ t(u,v,w)
    | ~ p(u,v,w) ),
    file('SYN009-2.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ t(u,v,w)
    | ~ q(w,u,v) ),
    file('SYN009-2.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ t(u,v,w)
    | ~ r(v,w,u) ),
    file('SYN009-2.p',unknown),
    [] ).

cnf(6,axiom,
    s(c),
    file('SYN009-2.p',unknown),
    [] ).

cnf(7,axiom,
    t(c,c,c),
    file('SYN009-2.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ s(u)
    | ~ s(v)
    | ~ s(w)
    | r(u,w,v)
    | q(v,u,w)
    | p(w,v,u) ),
    file('SYN009-2.p',unknown),
    [] ).

cnf(12,plain,
    ~ r(c,c,c),
    inference(res,[status(thm),theory(equality)],[7,3]),
    [iquote('0:Res:7.0,3.0')] ).

cnf(13,plain,
    ~ q(c,c,c),
    inference(res,[status(thm),theory(equality)],[7,2]),
    [iquote('0:Res:7.0,2.0')] ).

cnf(14,plain,
    ~ p(c,c,c),
    inference(res,[status(thm),theory(equality)],[7,1]),
    [iquote('0:Res:7.0,1.0')] ).

cnf(15,plain,
    ( ~ s(c)
    | ~ s(c)
    | ~ s(c)
    | r(c,c,c)
    | q(c,c,c) ),
    inference(res,[status(thm),theory(equality)],[8,14]),
    [iquote('0:Res:8.5,14.0')] ).

cnf(16,plain,
    ( ~ s(c)
    | r(c,c,c)
    | q(c,c,c) ),
    inference(obv,[status(thm),theory(equality)],[15]),
    [iquote('0:Obv:15.1')] ).

cnf(17,plain,
    ( r(c,c,c)
    | q(c,c,c) ),
    inference(ssi,[status(thm)],[16,6]),
    [iquote('0:SSi:16.0,6.0')] ).

cnf(18,plain,
    $false,
    inference(mrr,[status(thm)],[17,12,13]),
    [iquote('0:MRR:17.0,17.1,12.0,13.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN009-2 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.15  % Command  : run_spass %d %s
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jul 11 22:57:45 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.43  
% 0.21/0.43  SPASS V 3.9 
% 0.21/0.43  SPASS beiseite: Proof found.
% 0.21/0.43  % SZS status Theorem
% 0.21/0.43  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.43  SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 12 clauses.
% 0.21/0.43  SPASS allocated 75589 KBytes.
% 0.21/0.43  SPASS spent	0:00:00.06 on the problem.
% 0.21/0.43  		0:00:00.03 for the input.
% 0.21/0.43  		0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.43  		0:00:00.00 for inferences.
% 0.21/0.43  		0:00:00.00 for the backtracking.
% 0.21/0.43  		0:00:00.00 for the reduction.
% 0.21/0.43  
% 0.21/0.43  
% 0.21/0.43  Here is a proof with depth 2, length 13 :
% 0.21/0.43  % SZS output start Refutation
% See solution above
% 0.21/0.43  Formulae used in the proof : clause_1 clause_2 clause_3 clause_6 clause_7 clause_8
% 0.21/0.43  
%------------------------------------------------------------------------------