%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n022.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 14:34:42 EDT 2022

% Result   : Theorem 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   5 unt;   3 nHn;  15 RR)
%            Number of literals    :   27 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ~ element(skc4,powerset(skc5)),
    file('SEU173+1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ in(u,skc4)
    | in(u,skc5) ),
    file('SEU173+1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ empty(u)
    | ~ in(v,u) ),
    file('SEU173+1.p',unknown),
    [] ).

cnf(16,axiom,
    ( subset(u,v)
    | in(skf6(v,u),u) ),
    file('SEU173+1.p',unknown),
    [] ).

cnf(18,axiom,
    ( ~ in(u,v)
    | element(u,v)
    | empty(v) ),
    file('SEU173+1.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ in(skf6(u,v),u)
    | subset(w,u) ),
    file('SEU173+1.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ subset(u,v)
    | ~ equal(w,powerset(v))
    | in(u,w) ),
    file('SEU173+1.p',unknown),
    [] ).

cnf(28,plain,
    ( ~ in(u,v)
    | element(u,v) ),
    inference(mrr,[status(thm)],[18,14]),
    [iquote('0:MRR:18.2,14.0')] ).

cnf(29,plain,
    ~ in(skc4,powerset(skc5)),
    inference(res,[status(thm),theory(equality)],[28,8]),
    [iquote('0:Res:28.1,8.0')] ).

cnf(63,plain,
    ( ~ in(skf6(skc5,u),skc4)
    | subset(v,skc5) ),
    inference(res,[status(thm),theory(equality)],[13,21]),
    [iquote('0:Res:13.1,21.0')] ).

cnf(99,plain,
    ( ~ subset(u,v)
    | in(u,powerset(v)) ),
    inference(eqr,[status(thm),theory(equality)],[25]),
    [iquote('0:EqR:25.1')] ).

cnf(100,plain,
    ~ subset(skc4,skc5),
    inference(res,[status(thm),theory(equality)],[99,29]),
    [iquote('0:Res:99.1,29.0')] ).

cnf(113,plain,
    ( subset(skc4,skc5)
    | subset(u,skc5) ),
    inference(res,[status(thm),theory(equality)],[16,63]),
    [iquote('0:Res:16.1,63.0')] ).

cnf(114,plain,
    subset(skc4,skc5),
    inference(con,[status(thm)],[113]),
    [iquote('0:Con:113.1')] ).

cnf(115,plain,
    $false,
    inference(mrr,[status(thm)],[114,100]),
    [iquote('0:MRR:114.0,100.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 19 16:16:31 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  
% 0.20/0.46  SPASS V 3.9 
% 0.20/0.46  SPASS beiseite: Proof found.
% 0.20/0.46  % SZS status Theorem
% 0.20/0.46  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.46  SPASS derived 76 clauses, backtracked 0 clauses, performed 0 splits and kept 72 clauses.
% 0.20/0.46  SPASS allocated 97864 KBytes.
% 0.20/0.46  SPASS spent	0:00:00.10 on the problem.
% 0.20/0.46  		0:00:00.04 for the input.
% 0.20/0.46  		0:00:00.04 for the FLOTTER CNF translation.
% 0.20/0.46  		0:00:00.00 for inferences.
% 0.20/0.46  		0:00:00.00 for the backtracking.
% 0.20/0.46  		0:00:00.00 for the reduction.
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  Here is a proof with depth 2, length 15 :
% 0.20/0.46  % SZS output start Refutation
% See solution above
% 0.20/0.46  Formulae used in the proof : l71_subset_1 t7_boole d3_tarski d2_subset_1 d1_zfmisc_1
% 0.20/0.46  
%------------------------------------------------------------------------------