%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 : Sat Jul 16 06:22:12 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   6 unt;   2 nHn;   8 RR)
%            Number of literals    :   11 (   0 equ;   2 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    open(skc3),
    file('GEO086+1.p',unknown),
    [] ).

cnf(2,axiom,
    part_of(skc2,skc3),
    file('GEO086+1.p',unknown),
    [] ).

cnf(3,axiom,
    ~ open(skc2),
    file('GEO086+1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ part_of(u,v)
    | open(u)
    | equal(u,v) ),
    file('GEO086+1.p',unknown),
    [] ).

cnf(52,plain,
    ( equal(skc3,skc2)
    | open(skc2) ),
    inference(res,[status(thm),theory(equality)],[2,17]),
    [iquote('0:Res:2.0,17.0')] ).

cnf(56,plain,
    equal(skc3,skc2),
    inference(mrr,[status(thm)],[52,3]),
    [iquote('0:MRR:52.1,3.0')] ).

cnf(57,plain,
    open(skc2),
    inference(rew,[status(thm),theory(equality)],[56,1]),
    [iquote('0:Rew:56.0,1.0')] ).

cnf(60,plain,
    $false,
    inference(mrr,[status(thm)],[57,3]),
    [iquote('0:MRR:57.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n026.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 : Sat Jun 18 14:02:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.50  
% 0.20/0.50  SPASS V 3.9 
% 0.20/0.50  SPASS beiseite: Proof found.
% 0.20/0.50  % SZS status Theorem
% 0.20/0.50  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.50  SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 49 clauses.
% 0.20/0.50  SPASS allocated 98464 KBytes.
% 0.20/0.50  SPASS spent	0:00:00.16 on the problem.
% 0.20/0.50  		0:00:00.04 for the input.
% 0.20/0.50  		0:00:00.09 for the FLOTTER CNF translation.
% 0.20/0.50  		0:00:00.00 for inferences.
% 0.20/0.50  		0:00:00.00 for the backtracking.
% 0.20/0.50  		0:00:00.00 for the reduction.
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  Here is a proof with depth 1, length 8 :
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  Formulae used in the proof : theorem_2_7_2 c1
% 0.20/0.50  
%------------------------------------------------------------------------------