%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n028.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 05:30:00 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   3 unt;   2 nHn;  11 RR)
%            Number of literals    :   20 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 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(4,axiom,
    ~ subset(skc3,powerset(union(skc3))),
    file('SET947+1.p',unknown),
    [] ).

cnf(6,axiom,
    ( subset(u,v)
    | in(skf3(v,u),u) ),
    file('SET947+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ in(u,v)
    | subset(u,union(v)) ),
    file('SET947+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ in(skf3(u,v),u)
    | subset(w,u) ),
    file('SET947+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ subset(u,v)
    | ~ equal(w,powerset(v))
    | in(u,w) ),
    file('SET947+1.p',unknown),
    [] ).

cnf(26,plain,
    ( ~ subset(u,v)
    | in(u,powerset(v)) ),
    inference(eqr,[status(thm),theory(equality)],[12]),
    [iquote('0:EqR:12.1')] ).

cnf(30,plain,
    ( ~ subset(skf3(powerset(u),v),u)
    | subset(w,powerset(u)) ),
    inference(res,[status(thm),theory(equality)],[26,8]),
    [iquote('0:Res:26.1,8.0')] ).

cnf(50,plain,
    ( ~ in(skf3(powerset(union(u)),v),u)
    | subset(w,powerset(union(u))) ),
    inference(res,[status(thm),theory(equality)],[7,30]),
    [iquote('0:Res:7.1,30.0')] ).

cnf(71,plain,
    ( subset(u,powerset(union(u)))
    | subset(v,powerset(union(u))) ),
    inference(res,[status(thm),theory(equality)],[6,50]),
    [iquote('0:Res:6.1,50.0')] ).

cnf(73,plain,
    subset(u,powerset(union(u))),
    inference(con,[status(thm)],[71]),
    [iquote('0:Con:71.1')] ).

cnf(74,plain,
    $false,
    inference(unc,[status(thm)],[73,4]),
    [iquote('0:UnC:73.0,4.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 01:22:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.44  
% 0.19/0.44  SPASS V 3.9 
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 54 clauses, backtracked 0 clauses, performed 0 splits and kept 57 clauses.
% 0.19/0.44  SPASS allocated 85193 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.10 on the problem.
% 0.19/0.44  		0:00:00.04 for the input.
% 0.19/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.00 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 4, length 11 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : t100_zfmisc_1 d3_tarski l50_zfmisc_1 d1_zfmisc_1 reflexivity_r1_tarski
% 0.19/0.44  
%------------------------------------------------------------------------------