%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS012-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n019.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 : Sun Jul 17 03:30:16 EDT 2022

% Result   : Unsatisfiable 0.21s 0.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   6 unt;   1 nHn;  12 RR)
%            Number of literals    :   22 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ c(u)
    | ~ d(v)
    | ~ r(u,v)
    | e(v) ),
    file('KRS012-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ c(u)
    | ~ r(u,v)
    | d(v) ),
    file('KRS012-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ e(u1r1(u))
    | f(u) ),
    file('KRS012-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( f(u)
    | r(u,u1r1(u)) ),
    file('KRS012-1.p',unknown),
    [] ).

cnf(12,axiom,
    c(exists__dfg),
    file('KRS012-1.p',unknown),
    [] ).

cnf(13,axiom,
    ~ f(exists__dfg),
    file('KRS012-1.p',unknown),
    [] ).

cnf(14,plain,
    ( ~ c(u)
    | ~ r(u,v)
    | e(v) ),
    inference(mrr,[status(thm)],[1,2]),
    [iquote('0:MRR:1.1,2.2')] ).

cnf(15,plain,
    ( ~ r(exists__dfg,u)
    | e(u) ),
    inference(res,[status(thm),theory(equality)],[12,14]),
    [iquote('0:Res:12.0,14.0')] ).

cnf(17,plain,
    ~ e(u1r1(exists__dfg)),
    inference(res,[status(thm),theory(equality)],[10,13]),
    [iquote('0:Res:10.1,13.0')] ).

cnf(18,plain,
    r(exists__dfg,u1r1(exists__dfg)),
    inference(res,[status(thm),theory(equality)],[11,13]),
    [iquote('0:Res:11.0,13.0')] ).

cnf(36,plain,
    e(u1r1(exists__dfg)),
    inference(res,[status(thm),theory(equality)],[18,15]),
    [iquote('0:Res:18.0,15.0')] ).

cnf(37,plain,
    $false,
    inference(mrr,[status(thm)],[36,17]),
    [iquote('0:MRR:36.0,17.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS012-1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun  7 08:26:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.41  
% 0.21/0.41  SPASS V 3.9 
% 0.21/0.41  SPASS beiseite: Proof found.
% 0.21/0.41  % SZS status Theorem
% 0.21/0.41  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.41  SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 19 clauses.
% 0.21/0.41  SPASS allocated 75592 KBytes.
% 0.21/0.41  SPASS spent	0:00:00.06 on the problem.
% 0.21/0.41  		0:00:00.03 for the input.
% 0.21/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.41  		0:00:00.00 for inferences.
% 0.21/0.41  		0:00:00.00 for the backtracking.
% 0.21/0.41  		0:00:00.00 for the reduction.
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  Here is a proof with depth 2, length 12 :
% 0.21/0.41  % SZS output start Refutation
% See solution above
% 0.21/0.41  Formulae used in the proof : clause_3 clause_4 clause_12 clause_13 clause_1 clause_2
% 0.21/0.41  
%------------------------------------------------------------------------------