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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWV882-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.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 09:04:27 AM UTC 2026

% Result   : Unsatisfiable 76.83s 77.32s
% Output   : Proof 76.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   20 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :    8 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_insert__subset_2,axiom,
    ( ~ c_in(V_x,V_B,T_a)
    | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
    | c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ),
    file('theBenchmark.p',cls_insert__subset_2) ).

cnf(cls_empty__subsetI_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    file('theBenchmark.p',cls_empty__subsetI_0) ).

cnf(cls_assms_I1_J_0,axiom,
    ( ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool))
    | hBOOL(hAPP(hAPP(v_P,V_G),V_ts)) ),
    file('theBenchmark.p',cls_assms_I1_J_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
    file('theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    file('theBenchmark.p',cls_conjecture_6) ).

cnf(t1,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    inference(start,[status(thm),parent(0:0)],[cls_conjecture_6]) ).

cnf(t2,plain,
    ( ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool))
    | hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ),
    inference(extension,[status(thm),parent(t1:1)],[cls_assms_I1_J_0]) ).

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

cnf(t4,plain,
    ( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
    | ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)
    | c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)) ),
    inference(extension,[status(thm),parent(t2:2)],[cls_insert__subset_2]) ).

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

cnf(t6,plain,
    c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
    inference(extension,[status(thm),parent(t4:2)],[cls_conjecture_5]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool)),
    inference(extension,[status(thm),parent(t4:3)],[cls_empty__subsetI_0]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV882-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.58  % Computer : n019.cluster.edu
% 0.11/0.58  % Model    : x86_64 x86_64
% 0.11/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58  % Memory   : 8046.5625MB
% 0.11/0.58  % OS       : Linux 6.8.0-71-generic
% 0.11/0.58  % CPULimit : 300
% 0.11/0.58  % WCLimit  : 300
% 0.11/0.58  % DateTime : Sun Sep 20 04:51:37 UTC 2026
% 0.11/0.58  % CPUTime  : 
% 76.83/77.32  % SZS status Unsatisfiable for theBenchmark
% 76.83/77.32  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------