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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWV949-1 : 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 : n020.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 09:04:33 AM UTC 2026

% Result   : Unsatisfiable 130.44s 130.74s
% Output   : Proof 130.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   26 (  20 unt;   0 nHn;  23 RR)
%            Number of literals    :   42 (  17 equ;  18 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-5 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-4 aty)
%            Number of variables   :   22 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_WTrtFAccNT_0,axiom,
    ( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAcc(V_e,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_T) ),
    file('theBenchmark.p',cls_WTrtFAccNT_0) ).

cnf(cls_widen__refl_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)),
    file('theBenchmark.p',cls_widen__refl_0) ).

cnf(cls_CHAINED_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    file('theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_CHAINED_0_01,axiom,
    v_U____ = c_Type_Oty_ONT,
    file('theBenchmark.p',cls_CHAINED_0_01) ).

cnf(cls_conjecture_0,negated_conjecture,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),V_x)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_x),v_T____)) ),
    file('theBenchmark.p',cls_conjecture_0) ).

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

cnf(equality_45,axiom,
    ( c_WellTypeRT_OWTrt(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | ~ c_WellTypeRT_OWTrt(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(t1,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),v_T____)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T____),v_T____)) ),
    inference(start,[status(thm),parent(0:0)],[cls_conjecture_0]) ).

cnf(t2,plain,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T____),v_T____)),
    inference(extension,[status(thm),parent(t1:1)],[cls_widen__refl_0]) ).

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

cnf(t4,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),v_T____) ),
    inference(extension,[status(thm),parent(t1:2)],[cls_WTrtFAccNT_0]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).

cnf(t6,plain,
    ( v_h_Ha____ != v_h_Ha____
    | v_E____ != v_E____
    | v_e_Ha____ != v_e_Ha____
    | v_U____ != c_Type_Oty_ONT
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____)
    | v_P != v_P
    | c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) ),
    inference(extension,[status(thm),parent(t4:2)],[equality_45]) ).

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

cnf(t8,plain,
    v_P = v_P,
    inference(extension,[status(thm),parent(t6:2)],[equality_1]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).

cnf(t10,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    inference(extension,[status(thm),parent(t6:3)],[cls_CHAINED_0]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).

cnf(t12,plain,
    v_U____ = c_Type_Oty_ONT,
    inference(extension,[status(thm),parent(t6:4)],[cls_CHAINED_0_01]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).

cnf(t14,plain,
    v_e_Ha____ = v_e_Ha____,
    inference(extension,[status(thm),parent(t6:5)],[equality_1]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:5]) ).

cnf(t16,plain,
    v_E____ = v_E____,
    inference(extension,[status(thm),parent(t6:6)],[equality_1]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:6]) ).

cnf(t18,plain,
    v_h_Ha____ = v_h_Ha____,
    inference(extension,[status(thm),parent(t6:7)],[equality_1]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t6:7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV949-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.03  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n020.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 20 04:58:47 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 130.44/130.74  % SZS status Unsatisfiable for theBenchmark
% 130.44/130.74  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------