%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET152-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n017.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 05:24:33 EDT 2022

% Result   : Unsatisfiable 0.70s 0.88s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   4 unt;   3 nHn;  11 RR)
%            Number of literals    :   21 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ equal(complement(universal_class),null_class),
    file('SET152-6.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ member(u,v)
    | ~ subclass(v,w)
    | member(u,w) ),
    file('SET152-6.p',unknown),
    [] ).

cnf(5,axiom,
    subclass(u,universal_class),
    file('SET152-6.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ member(u,v)
    | ~ member(u,complement(v)) ),
    file('SET152-6.p',unknown),
    [] ).

cnf(67,axiom,
    ( equal(u,null_class)
    | member(regular(u),u) ),
    file('SET152-6.p',unknown),
    [] ).

cnf(161,plain,
    ( ~ member(regular(complement(u)),u)
    | equal(complement(u),null_class) ),
    inference(res,[status(thm),theory(equality)],[67,25]),
    [iquote('0:Res:67.1,25.1')] ).

cnf(351,plain,
    ( ~ subclass(u,v)
    | equal(u,null_class)
    | member(regular(u),v) ),
    inference(res,[status(thm),theory(equality)],[67,2]),
    [iquote('0:Res:67.1,2.0')] ).

cnf(2354,plain,
    ( ~ subclass(complement(u),u)
    | equal(complement(u),null_class)
    | equal(complement(u),null_class) ),
    inference(res,[status(thm),theory(equality)],[351,161]),
    [iquote('0:Res:351.2,161.0')] ).

cnf(2369,plain,
    ( ~ subclass(complement(u),u)
    | equal(complement(u),null_class) ),
    inference(obv,[status(thm),theory(equality)],[2354]),
    [iquote('0:Obv:2354.1')] ).

cnf(2526,plain,
    equal(complement(universal_class),null_class),
    inference(res,[status(thm),theory(equality)],[5,2369]),
    [iquote('0:Res:5.0,2369.0')] ).

cnf(2529,plain,
    $false,
    inference(mrr,[status(thm)],[2526,1]),
    [iquote('0:MRR:2526.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET152-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.14  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 05:28:18 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.70/0.88  
% 0.70/0.88  SPASS V 3.9 
% 0.70/0.88  SPASS beiseite: Proof found.
% 0.70/0.88  % SZS status Theorem
% 0.70/0.88  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.70/0.88  SPASS derived 2171 clauses, backtracked 293 clauses, performed 4 splits and kept 1559 clauses.
% 0.70/0.88  SPASS allocated 78037 KBytes.
% 0.70/0.88  SPASS spent	0:00:00.51 on the problem.
% 0.70/0.88  		0:00:00.04 for the input.
% 0.70/0.88  		0:00:00.00 for the FLOTTER CNF translation.
% 0.70/0.88  		0:00:00.03 for inferences.
% 0.70/0.88  		0:00:00.01 for the backtracking.
% 0.70/0.88  		0:00:00.39 for the reduction.
% 0.70/0.88  
% 0.70/0.88  
% 0.70/0.88  Here is a proof with depth 3, length 11 :
% 0.70/0.88  % SZS output start Refutation
% See solution above
% 0.70/0.88  Formulae used in the proof : prove_complement_of_universal_class_1 subclass_members class_elements_are_sets complement1 regularity1
% 0.70/0.88  
%------------------------------------------------------------------------------