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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWV275-2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n018.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 09:03:10 AM UTC 2026

% Result   : Unsatisfiable 193.81s 194.17s
% Output   : Proof 198.03s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_Osynth_OInj_0,axiom,
    ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
    | ~ c_in(V_X,V_H,tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_Osynth_OInj_0) ).

cnf(cls_Message_Osynth__mono_0,axiom,
    ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
    file('theBenchmark.p',cls_Message_Osynth__mono_0) ).

cnf(cls_Set_OinsertCI_0,axiom,
    ( c_in(V_a,c_insert(V_b,V_B,T_a),T_a)
    | ~ c_in(V_a,V_B,T_a) ),
    file('theBenchmark.p',cls_Set_OinsertCI_0) ).

cnf(cls_Set_OinsertCI_1,axiom,
    c_in(V_x,c_insert(V_x,V_B,T_a),T_a),
    file('theBenchmark.p',cls_Set_OinsertCI_1) ).

cnf(cls_Set_OinsertE_0,axiom,
    ( V_a = V_b
    | c_in(V_a,V_A,T_a)
    | ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ),
    file('theBenchmark.p',cls_Set_OinsertE_0) ).

cnf(cls_Set_OsubsetD_0,axiom,
    ( c_in(V_c,V_B,T_a)
    | ~ c_lessequals(V_A,V_B,tc_set(T_a))
    | ~ c_in(V_c,V_A,T_a) ),
    file('theBenchmark.p',cls_Set_OsubsetD_0) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_lessequals(V_A,V_B,tc_set(T_a))
    | c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
    file('theBenchmark.p',cls_Set_OsubsetI_0) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( c_lessequals(V_A,V_B,tc_set(T_a))
    | ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
    file('theBenchmark.p',cls_Set_OsubsetI_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('theBenchmark.p',cls_conjecture_0) ).

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

cnf(equality_2,axiom,
    ( Eq_x_1 = Eq_x_0
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[symmetry]) ).

cnf(equality_3,axiom,
    ( Eq_x_0 = Eq_x_2
    | Eq_x_1 != Eq_x_2
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[transitivity]) ).

cnf(equality_4,axiom,
    ( c_Message_Osynth(Eq_x_0) = c_Message_Osynth(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_5,axiom,
    ( tc_set(Eq_x_0) = tc_set(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_6,axiom,
    ( c_insert(Eq_x_0,Eq_x_1,Eq_x_2) = c_insert(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_7,axiom,
    ( c_Main_OsubsetI__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Main_OsubsetI__1(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_8,axiom,
    ( c_in(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ c_in(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_9,axiom,
    ( c_lessequals(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ c_lessequals(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV275-2 : TPTP v9.3.1. Released v3.2.0.
% 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
% 0.08/0.42  % Computer : n018.cluster.edu
% 0.08/0.42  % Model    : x86_64 x86_64
% 0.08/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.42  % Memory   : 8046.5625MB
% 0.08/0.42  % OS       : Linux 6.8.0-71-generic
% 0.08/0.42  % CPULimit : 300
% 0.08/0.42  % WCLimit  : 300
% 0.08/0.42  % DateTime : Sun Sep 20 03:17:56 UTC 2026
% 0.08/0.42  % CPUTime  : 
% 193.81/194.17  % SZS status Unsatisfiable for theBenchmark
% 193.81/194.17  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------