%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET018-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 05:22:39 EDT 2022

% Result   : Unsatisfiable 0.19s 0.43s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(61,axiom,
    ( ~ member(u,universal_class)
    | ~ equal(ordered_pair(v,u),ordered_pair(w,x))
    | equal(u,x) ),
    file('SET018-7.p',unknown),
    [] ).

cnf(77,axiom,
    equal(ordered_pair(y__dfg,z__dfg),ordered_pair(w__dfg,x__dfg)),
    file('SET018-7.p',unknown),
    [] ).

cnf(78,axiom,
    member(x__dfg,universal_class),
    file('SET018-7.p',unknown),
    [] ).

cnf(79,axiom,
    ~ equal(z__dfg,x__dfg),
    file('SET018-7.p',unknown),
    [] ).

cnf(242,plain,
    ( ~ member(x__dfg,universal_class)
    | equal(z__dfg,x__dfg) ),
    inference(res,[status(thm),theory(equality)],[77,61]),
    [iquote('0:Res:77.0,61.0')] ).

cnf(245,plain,
    $false,
    inference(mrr,[status(thm)],[242,78,79]),
    [iquote('0:MRR:242.0,242.1,78.0,79.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET018-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.11/0.12  % 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 12:46:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.43  
% 0.19/0.43  SPASS V 3.9 
% 0.19/0.43  SPASS beiseite: Proof found.
% 0.19/0.43  % SZS status Theorem
% 0.19/0.43  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  SPASS derived 63 clauses, backtracked 0 clauses, performed 0 splits and kept 175 clauses.
% 0.19/0.43  SPASS allocated 75880 KBytes.
% 0.19/0.43  SPASS spent	0:00:00.08 on the problem.
% 0.19/0.43  		0:00:00.04 for the input.
% 0.19/0.43  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43  		0:00:00.00 for inferences.
% 0.19/0.43  		0:00:00.00 for the backtracking.
% 0.19/0.43  		0:00:00.01 for the reduction.
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  Here is a proof with depth 1, length 6 :
% 0.19/0.43  % SZS output start Refutation
% See solution above
% 0.19/0.43  Formulae used in the proof : ordered_pair_determines_components2 prove_ordered_pair_determines_components2_1 prove_ordered_pair_determines_components2_2 prove_ordered_pair_determines_components2_3
% 0.19/0.43  
%------------------------------------------------------------------------------