%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET239-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 05:25:13 EDT 2022

% Result   : Unsatisfiable 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   7 RR)
%            Number of literals    :    8 (   0 equ;   4 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    :   10 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    member(z__dfg,restrict(xr,x__dfg,y__dfg)),
    file('SET239-6.p',unknown),
    [] ).

cnf(2,axiom,
    ~ member(z__dfg,xr),
    file('SET239-6.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ member(u,intersection(v,w))
    | member(u,w) ),
    file('SET239-6.p',unknown),
    [] ).

cnf(31,axiom,
    equal(intersection(cross_product(u,v),w),restrict(w,u,v)),
    file('SET239-6.p',unknown),
    [] ).

cnf(121,plain,
    ~ member(z__dfg,intersection(u,xr)),
    inference(res,[status(thm),theory(equality)],[24,2]),
    [iquote('0:Res:24.1,2.0')] ).

cnf(261,plain,
    ~ member(z__dfg,restrict(xr,u,v)),
    inference(spl,[status(thm),theory(equality)],[31,121]),
    [iquote('0:SpL:31.0,121.0')] ).

cnf(264,plain,
    $false,
    inference(unc,[status(thm)],[261,1]),
    [iquote('0:UnC:261.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET239-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n024.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 09:34:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  
% 0.18/0.44  SPASS V 3.9 
% 0.18/0.44  SPASS beiseite: Proof found.
% 0.18/0.44  % SZS status Theorem
% 0.18/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.44  SPASS derived 133 clauses, backtracked 0 clauses, performed 1 splits and kept 208 clauses.
% 0.18/0.44  SPASS allocated 75944 KBytes.
% 0.18/0.44  SPASS spent	0:00:00.10 on the problem.
% 0.18/0.44  		0:00:00.04 for the input.
% 0.18/0.44  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.44  		0:00:00.00 for inferences.
% 0.18/0.44  		0:00:00.00 for the backtracking.
% 0.18/0.44  		0:00:00.03 for the reduction.
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  Here is a proof with depth 2, length 7 :
% 0.18/0.44  % SZS output start Refutation
% See solution above
% 0.18/0.44  Formulae used in the proof : prove_restriction_alternate_defn2_1 prove_restriction_alternate_defn2_2 intersection2 restriction2
% 0.18/0.44  
%------------------------------------------------------------------------------