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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% 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 : 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 09:08:49 AM UTC 2026

% Result   : Theorem 0.56s 0.82s
% Output   : Proof 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   38 (  17 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   53 (  26   ~;  22   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   32 (   7 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax46,axiom,
    ! [VAR_V_35] :
      ( pred_attacker(tuple_T_out_4(VAR_V_35))
     => pred_attacker(VAR_V_35) ),
    file('theBenchmark.p',ax46) ).

fof(ax49,axiom,
    ! [VAR_V_44] :
      ( pred_attacker(VAR_V_44)
     => pred_attacker(tuple_T_in_3(VAR_V_44)) ),
    file('theBenchmark.p',ax49) ).

fof(ax51,axiom,
    ! [VAR_V_50X30] :
      ( pred_attacker(VAR_V_50X30)
     => pred_attacker(tuple_T_in_1(VAR_V_50X30)) ),
    file('theBenchmark.p',ax51) ).

fof(ax62,axiom,
    ! [VAR_V_65] : pred_attacker(name_new0x2Dname(VAR_V_65)),
    file('theBenchmark.p',ax62) ).

fof(ax64,axiom,
    ! [VAR_K_XOR_K1_10X305,VAR_R1_10X306] :
      ( ( pred_attacker(tuple_T_in_1(VAR_R1_10X306))
        & pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) )
     => pred_attacker(tuple_T_out_4(name_objective)) ),
    file('theBenchmark.p',ax64) ).

fof(co0,conjecture,
    pred_attacker(name_objective),
    file('theBenchmark.p',co0) ).

fof(f_47_1,plain,
    ! [VAR_V_35] :
      ( pred_attacker(VAR_V_35)
      | ~ pred_attacker(tuple_T_out_4(VAR_V_35)) ),
    inference(fof_nnf,[status(thm)],[ax46]) ).

fof(f_47_2,plain,
    ! [U_11] :
      ( pred_attacker(U_11)
      | ~ pred_attacker(tuple_T_out_4(U_11)) ),
    inference(variable_rename,[status(thm)],[f_47_1]) ).

cnf(f_47_3,plain,
    ( pred_attacker(U_11)
    | ~ pred_attacker(tuple_T_out_4(U_11)) ),
    inference(clausify,[status(thm)],[f_47_2]) ).

fof(f_50_1,plain,
    ! [VAR_V_44] :
      ( pred_attacker(tuple_T_in_3(VAR_V_44))
      | ~ pred_attacker(VAR_V_44) ),
    inference(fof_nnf,[status(thm)],[ax49]) ).

fof(f_50_2,plain,
    ! [U_14] :
      ( pred_attacker(tuple_T_in_3(U_14))
      | ~ pred_attacker(U_14) ),
    inference(variable_rename,[status(thm)],[f_50_1]) ).

cnf(f_50_3,plain,
    ( pred_attacker(tuple_T_in_3(U_14))
    | ~ pred_attacker(U_14) ),
    inference(clausify,[status(thm)],[f_50_2]) ).

fof(f_52_1,plain,
    ! [VAR_V_50X30] :
      ( pred_attacker(tuple_T_in_1(VAR_V_50X30))
      | ~ pred_attacker(VAR_V_50X30) ),
    inference(fof_nnf,[status(thm)],[ax51]) ).

fof(f_52_2,plain,
    ! [U_16] :
      ( pred_attacker(tuple_T_in_1(U_16))
      | ~ pred_attacker(U_16) ),
    inference(variable_rename,[status(thm)],[f_52_1]) ).

cnf(f_52_3,plain,
    ( pred_attacker(tuple_T_in_1(U_16))
    | ~ pred_attacker(U_16) ),
    inference(clausify,[status(thm)],[f_52_2]) ).

fof(f_63_1,plain,
    ! [VAR_V_65] : pred_attacker(name_new0x2Dname(VAR_V_65)),
    inference(fof_nnf,[status(thm)],[ax62]) ).

fof(f_63_2,plain,
    ! [U_23] : pred_attacker(name_new0x2Dname(U_23)),
    inference(variable_rename,[status(thm)],[f_63_1]) ).

cnf(f_63_3,plain,
    pred_attacker(name_new0x2Dname(U_23)),
    inference(clausify,[status(thm)],[f_63_2]) ).

fof(f_65_1,plain,
    ! [VAR_K_XOR_K1_10X305,VAR_R1_10X306] :
      ( pred_attacker(tuple_T_out_4(name_objective))
      | ~ pred_attacker(tuple_T_in_1(VAR_R1_10X306))
      | ~ pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) ),
    inference(fof_nnf,[status(thm)],[ax64]) ).

fof(f_65_2,plain,
    ! [U_26,U_25] :
      ( pred_attacker(tuple_T_out_4(name_objective))
      | ~ pred_attacker(tuple_T_in_1(U_25))
      | ~ pred_attacker(tuple_T_in_3(U_26)) ),
    inference(variable_rename,[status(thm)],[f_65_1]) ).

fof(f_65_3,plain,
    ( ! [U_26] : ~ pred_attacker(tuple_T_in_3(U_26))
    | ! [U_25] : ~ pred_attacker(tuple_T_in_1(U_25))
    | pred_attacker(tuple_T_out_4(name_objective)) ),
    inference(miniscope,[status(thm)],[f_65_2]) ).

cnf(f_65_4,plain,
    ( ~ pred_attacker(tuple_T_in_3(U_26))
    | ~ pred_attacker(tuple_T_in_1(U_25))
    | pred_attacker(tuple_T_out_4(name_objective)) ),
    inference(clausify,[status(thm)],[f_65_3]) ).

fof(f_66_1,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negate,[status(cth)],[co0]) ).

fof(f_66_2,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(definitional_conversion,[status(esa)],[f_66_1]) ).

cnf(f_66_3,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(clausify,[status(thm)],[f_66_2]) ).

cnf(t1,plain,
    ~ pred_attacker(name_objective),
    inference(start,[status(thm),parent(0:0)],[f_66_3]) ).

cnf(t2,plain,
    ( ~ pred_attacker(tuple_T_out_4(name_objective))
    | pred_attacker(name_objective) ),
    inference(extension,[status(thm),parent(t1:1)],[f_47_3]) ).

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

cnf(t4,plain,
    ( ~ pred_attacker(tuple_T_in_1(name_new0x2Dname(U_328)))
    | ~ pred_attacker(tuple_T_in_3(name_new0x2Dname(U_326)))
    | pred_attacker(tuple_T_out_4(name_objective)) ),
    inference(extension,[status(thm),parent(t2:2)],[f_65_4]) ).

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

cnf(t6,plain,
    ( ~ pred_attacker(name_new0x2Dname(U_326))
    | pred_attacker(tuple_T_in_3(name_new0x2Dname(U_326))) ),
    inference(extension,[status(thm),parent(t4:2)],[f_50_3]) ).

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

cnf(t8,plain,
    pred_attacker(name_new0x2Dname(U_326)),
    inference(extension,[status(thm),parent(t6:2)],[f_63_3]) ).

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

cnf(t10,plain,
    ( ~ pred_attacker(name_new0x2Dname(U_328))
    | pred_attacker(tuple_T_in_1(name_new0x2Dname(U_328))) ),
    inference(extension,[status(thm),parent(t4:3)],[f_52_3]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:3]) ).

cnf(t12,plain,
    pred_attacker(name_new0x2Dname(U_328)),
    inference(extension,[status(thm),parent(t10:2)],[f_63_3]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03  This is a FOF_THM_RFO_SEQ 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 : n019.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 06:00:22 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.56/0.82  % SZS status Theorem for theBenchmark
% 0.56/0.82  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------