%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET061-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 : Tue Jul 19 05:23:19 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   5 unt;   1 nHn;   6 RR)
%            Number of literals    :    7 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(11,axiom,
    ~ member(u,intersection(complement(v),v)),
    file('SET061-7.p',unknown),
    [] ).

cnf(12,axiom,
    member(z__dfg,null_class),
    file('SET061-7.p',unknown),
    [] ).

cnf(78,axiom,
    ( equal(u,null_class)
    | member(regular(u),u) ),
    file('SET061-7.p',unknown),
    [] ).

cnf(123,plain,
    equal(intersection(complement(u),u),null_class),
    inference(res,[status(thm),theory(equality)],[78,11]),
    [iquote('0:Res:78.1,11.0')] ).

cnf(124,plain,
    ~ member(u,null_class),
    inference(rew,[status(thm),theory(equality)],[123,11]),
    [iquote('0:Rew:123.0,11.0')] ).

cnf(125,plain,
    $false,
    inference(unc,[status(thm)],[124,12]),
    [iquote('0:UnC:124.0,12.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET061-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n020.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 : Sun Jul 10 16:19:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.41  
% 0.19/0.41  SPASS V 3.9 
% 0.19/0.41  SPASS beiseite: Proof found.
% 0.19/0.41  % SZS status Theorem
% 0.19/0.41  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.41  SPASS derived 19 clauses, backtracked 0 clauses, performed 0 splits and kept 113 clauses.
% 0.19/0.41  SPASS allocated 75764 KBytes.
% 0.19/0.41  SPASS spent	0:00:00.07 on the problem.
% 0.19/0.41  		0:00:00.04 for the input.
% 0.19/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41  		0:00:00.00 for inferences.
% 0.19/0.41  		0:00:00.00 for the backtracking.
% 0.19/0.41  		0:00:00.01 for the reduction.
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Here is a proof with depth 1, length 6 :
% 0.19/0.41  % SZS output start Refutation
% See solution above
% 0.19/0.41  Formulae used in the proof : special_classes_lemma prove_existence_of_null_class_1 regularity1
% 0.19/0.41  
%------------------------------------------------------------------------------