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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWC141-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 09:01:34 AM UTC 2026

% Result   : Unsatisfiable 1.95s 2.24s
% Output   : Proof 1.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (  12 unt;   0 nHn;  13 RR)
%            Number of literals    :   20 (   8 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('theBenchmark.p',co1_5) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    ~ neq(sk4,nil),
    file('theBenchmark.p',co1_8) ).

cnf(equality_1,axiom,
    Eq_x_0 = Eq_x_0,
    theory(equality,[reflexivity]) ).

cnf(equality_67,axiom,
    ( neq(Eq_y_0,Eq_y_1)
    | ~ neq(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(t1,plain,
    ~ neq(sk4,nil),
    inference(start,[status(thm),parent(0:0)],[co1_8]) ).

cnf(t2,plain,
    ( nil != nil
    | ~ neq(sk2,nil)
    | sk2 != sk4
    | neq(sk4,nil) ),
    inference(extension,[status(thm),parent(t1:1)],[equality_67]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    sk2 = sk4,
    inference(extension,[status(thm),parent(t2:2)],[co1_5]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    neq(sk2,nil),
    inference(extension,[status(thm),parent(t2:3)],[co1_7]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).

cnf(t8,plain,
    nil = nil,
    inference(extension,[status(thm),parent(t2:4)],[equality_1]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC141-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n008.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 01:56:08 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 1.95/2.24  % SZS status Unsatisfiable for theBenchmark
% 1.95/2.24  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------