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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR052+3 : TPTP v9.3.1. Released v3.4.0.
% 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 : n003.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 08:25:57 AM UTC 2026

% Result   : Theorem 79.35s 79.66s
% Output   : Proof 79.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   62 (  49 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   47 (  23   ~;  20   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax2_2000,axiom,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
    file('CSR002+2.ax',ax2_2000) ).

fof(ax2_2677,axiom,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
    file('CSR002+2.ax',ax2_2677) ).

fof(ax2_2699,axiom,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
    file('CSR002+2.ax',ax2_2699) ).

fof(ax2_2704,axiom,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    file('CSR002+2.ax',ax2_2704) ).

fof(ax2_3347,axiom,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
    file('CSR002+2.ax',ax2_3347) ).

fof(ax2_3640,axiom,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
    file('CSR002+2.ax',ax2_3640) ).

fof(ax2_3797,axiom,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
    file('CSR002+2.ax',ax2_3797) ).

fof(ax2_4332,axiom,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
    file('CSR002+2.ax',ax2_4332) ).

fof(ax2_7995,axiom,
    ! [ARG1,OLD,NEW] :
      ( ( genls(OLD,NEW)
        & genls(ARG1,OLD) )
     => genls(ARG1,NEW) ),
    file('CSR002+2.ax',ax2_7995) ).

fof(query152,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
   => genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
    file('theBenchmark.p',query152) ).

fof(f_2000_1,plain,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
    inference(fof_nnf,[status(thm)],[ax2_2000]) ).

cnf(f_2000_2,plain,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
    inference(clausify,[status(thm)],[f_2000_1]) ).

fof(f_2677_1,plain,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
    inference(fof_nnf,[status(thm)],[ax2_2677]) ).

cnf(f_2677_2,plain,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
    inference(clausify,[status(thm)],[f_2677_1]) ).

fof(f_2699_1,plain,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
    inference(fof_nnf,[status(thm)],[ax2_2699]) ).

cnf(f_2699_2,plain,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
    inference(clausify,[status(thm)],[f_2699_1]) ).

fof(f_2704_1,plain,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    inference(fof_nnf,[status(thm)],[ax2_2704]) ).

cnf(f_2704_2,plain,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    inference(clausify,[status(thm)],[f_2704_1]) ).

fof(f_3347_1,plain,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
    inference(fof_nnf,[status(thm)],[ax2_3347]) ).

cnf(f_3347_2,plain,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
    inference(clausify,[status(thm)],[f_3347_1]) ).

fof(f_3640_1,plain,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
    inference(fof_nnf,[status(thm)],[ax2_3640]) ).

cnf(f_3640_2,plain,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
    inference(clausify,[status(thm)],[f_3640_1]) ).

fof(f_3797_1,plain,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
    inference(fof_nnf,[status(thm)],[ax2_3797]) ).

cnf(f_3797_2,plain,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
    inference(clausify,[status(thm)],[f_3797_1]) ).

fof(f_4332_1,plain,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
    inference(fof_nnf,[status(thm)],[ax2_4332]) ).

cnf(f_4332_2,plain,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
    inference(clausify,[status(thm)],[f_4332_1]) ).

fof(f_7995_1,plain,
    ! [ARG1,OLD,NEW] :
      ( genls(ARG1,NEW)
      | ~ genls(OLD,NEW)
      | ~ genls(ARG1,OLD) ),
    inference(fof_nnf,[status(thm)],[ax2_7995]) ).

fof(f_7995_2,plain,
    ! [U_5954,U_5953,U_5952] :
      ( genls(U_5954,U_5952)
      | ~ genls(U_5953,U_5952)
      | ~ genls(U_5954,U_5953) ),
    inference(variable_rename,[status(thm)],[f_7995_1]) ).

cnf(f_7995_3,plain,
    ( genls(U_5954,U_5952)
    | ~ genls(U_5953,U_5952)
    | ~ genls(U_5954,U_5953) ),
    inference(clausify,[status(thm)],[f_7995_2]) ).

fof(f_8006_1,negated_conjecture,
    ( ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
    & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33)) ),
    inference(negate,[status(cth)],[query152]) ).

cnf(f_8006_3,negated_conjecture,
    ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
    inference(clausify,[status(thm)],[f_8006_1]) ).

cnf(t1,plain,
    ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
    inference(start,[status(thm),parent(0:0)],[f_8006_3]) ).

cnf(t2,plain,
    ( ~ genls(c_tptpcol_11_40388,c_tptpcol_7_39939)
    | ~ genls(c_tptpcol_15_40430,c_tptpcol_11_40388)
    | genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
    inference(extension,[status(thm),parent(t1:1)],[f_7995_3]) ).

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

cnf(t4,plain,
    ( ~ genls(c_tptpcol_13_40421,c_tptpcol_11_40388)
    | ~ genls(c_tptpcol_15_40430,c_tptpcol_13_40421)
    | genls(c_tptpcol_15_40430,c_tptpcol_11_40388) ),
    inference(extension,[status(thm),parent(t2:2)],[f_7995_3]) ).

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

cnf(t6,plain,
    ( ~ genls(c_tptpcol_14_40429,c_tptpcol_13_40421)
    | ~ genls(c_tptpcol_15_40430,c_tptpcol_14_40429)
    | genls(c_tptpcol_15_40430,c_tptpcol_13_40421) ),
    inference(extension,[status(thm),parent(t4:2)],[f_7995_3]) ).

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

cnf(t8,plain,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
    inference(extension,[status(thm),parent(t6:2)],[f_4332_2]) ).

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

cnf(t10,plain,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
    inference(extension,[status(thm),parent(t6:3)],[f_2677_2]) ).

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

cnf(t12,plain,
    ( ~ genls(c_tptpcol_12_40420,c_tptpcol_11_40388)
    | ~ genls(c_tptpcol_13_40421,c_tptpcol_12_40420)
    | genls(c_tptpcol_13_40421,c_tptpcol_11_40388) ),
    inference(extension,[status(thm),parent(t4:3)],[f_7995_3]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:3]) ).

cnf(t14,plain,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
    inference(extension,[status(thm),parent(t12:2)],[f_3797_2]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).

cnf(t16,plain,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
    inference(extension,[status(thm),parent(t12:3)],[f_2000_2]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).

cnf(t18,plain,
    ( ~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939)
    | ~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196)
    | genls(c_tptpcol_11_40388,c_tptpcol_7_39939) ),
    inference(extension,[status(thm),parent(t2:3)],[f_7995_3]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:3]) ).

cnf(t20,plain,
    ( ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
    | ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324)
    | genls(c_tptpcol_11_40388,c_tptpcol_9_40196) ),
    inference(extension,[status(thm),parent(t18:2)],[f_7995_3]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).

cnf(t22,plain,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
    inference(extension,[status(thm),parent(t20:2)],[f_3640_2]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).

cnf(t24,plain,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
    inference(extension,[status(thm),parent(t20:3)],[f_3347_2]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).

cnf(t26,plain,
    ( ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
    | ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940)
    | genls(c_tptpcol_9_40196,c_tptpcol_7_39939) ),
    inference(extension,[status(thm),parent(t18:3)],[f_7995_3]) ).

cnf(t27,plain,
    $false,
    inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:3]) ).

cnf(t28,plain,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
    inference(extension,[status(thm),parent(t26:2)],[f_2699_2]) ).

cnf(t29,plain,
    $false,
    inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).

cnf(t30,plain,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    inference(extension,[status(thm),parent(t26:3)],[f_2704_2]) ).

cnf(t31,plain,
    $false,
    inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR052+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ 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
% 0.09/0.36  % Computer : n003.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
% 0.09/0.37  % DateTime : Sun Sep 20 16:06:14 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 79.35/79.66  % SZS status Theorem for theBenchmark
% 79.35/79.66  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------