%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET016-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.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 05:22:35 EDT 2022

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : Refutation 0.20s
% 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(60,axiom,
    ( ~ member(u,universal_class)
    | ~ equal(ordered_pair(u,v),ordered_pair(w,x))
    | equal(u,w) ),
    file('SET016-7.p',unknown),
    [] ).

cnf(75,axiom,
    equal(ordered_pair(y__dfg,z__dfg),ordered_pair(w__dfg,x__dfg)),
    file('SET016-7.p',unknown),
    [] ).

cnf(76,axiom,
    member(w__dfg,universal_class),
    file('SET016-7.p',unknown),
    [] ).

cnf(77,axiom,
    ~ equal(y__dfg,w__dfg),
    file('SET016-7.p',unknown),
    [] ).

cnf(239,plain,
    ( ~ member(w__dfg,universal_class)
    | equal(y__dfg,w__dfg) ),
    inference(res,[status(thm),theory(equality)],[75,60]),
    [iquote('0:Res:75.0,60.0')] ).

cnf(243,plain,
    $false,
    inference(mrr,[status(thm)],[239,76,77]),
    [iquote('0:MRR:239.0,239.1,76.0,77.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET016-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 09:48:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.44  
% 0.20/0.44  SPASS V 3.9 
% 0.20/0.44  SPASS beiseite: Proof found.
% 0.20/0.44  % SZS status Theorem
% 0.20/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.44  SPASS derived 63 clauses, backtracked 0 clauses, performed 0 splits and kept 172 clauses.
% 0.20/0.44  SPASS allocated 75878 KBytes.
% 0.20/0.44  SPASS spent	0:00:00.08 on the problem.
% 0.20/0.44  		0:00:00.04 for the input.
% 0.20/0.44  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.44  		0:00:00.00 for inferences.
% 0.20/0.44  		0:00:00.00 for the backtracking.
% 0.20/0.44  		0:00:00.01 for the reduction.
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  Here is a proof with depth 1, length 6 :
% 0.20/0.44  % SZS output start Refutation
% See solution above
% 0.20/0.44  Formulae used in the proof : ordered_pair_determines_components1 prove_ordered_pair_determines_components1_1 prove_ordered_pair_determines_components1_2 prove_ordered_pair_determines_components1_3
% 0.20/0.44  
%------------------------------------------------------------------------------