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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR098+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 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 : n012.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 08:35:37 AM UTC 2026

% Result   : Theorem 74.36s 74.60s
% Output   : Proof 74.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (  25 unt;   0 def)
%            Number of atoms       :   33 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (  10   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_1002,axiom,
    ! [V__INST] : V__INST = V__INST,
    file('CSR003+0.ax',kb_SUMO_1002) ).

fof(local_1,axiom,
    s__instance(s__Frog29_1,s__Amphibian),
    file('theBenchmark.p',local_1) ).

fof(local_3,axiom,
    s__Frog29_1 = s__Animal29_1,
    file('theBenchmark.p',local_3) ).

fof(prove_from_SUMO,conjecture,
    s__instance(s__Animal29_1,s__Amphibian),
    file('theBenchmark.p',prove_from_SUMO) ).

fof(f_999_1,plain,
    ! [V__INST] : V__INST = V__INST,
    inference(fof_nnf,[status(thm)],[kb_SUMO_1002]) ).

fof(f_999_2,plain,
    ! [U_2050] : U_2050 = U_2050,
    inference(variable_rename,[status(thm)],[f_999_1]) ).

fof(f_999_3,plain,
    ! [U_2050] : U_2050 = U_2050,
    inference(definitional_conversion,[status(esa)],[f_999_2]) ).

cnf(f_999_4,plain,
    U_2050 = U_2050,
    inference(clausify,[status(thm)],[f_999_3]) ).

fof(f_14788_1,plain,
    s__instance(s__Frog29_1,s__Amphibian),
    inference(fof_nnf,[status(thm)],[local_1]) ).

fof(f_14788_2,plain,
    s__instance(s__Frog29_1,s__Amphibian),
    inference(definitional_conversion,[status(esa)],[f_14788_1]) ).

cnf(f_14788_3,plain,
    s__instance(s__Frog29_1,s__Amphibian),
    inference(clausify,[status(thm)],[f_14788_2]) ).

fof(f_14790_1,plain,
    s__Frog29_1 = s__Animal29_1,
    inference(fof_nnf,[status(thm)],[local_3]) ).

fof(f_14790_2,plain,
    s__Frog29_1 = s__Animal29_1,
    inference(definitional_conversion,[status(esa)],[f_14790_1]) ).

cnf(f_14790_3,plain,
    s__Frog29_1 = s__Animal29_1,
    inference(clausify,[status(thm)],[f_14790_2]) ).

fof(f_14791_1,negated_conjecture,
    ~ s__instance(s__Animal29_1,s__Amphibian),
    inference(negate,[status(cth)],[prove_from_SUMO]) ).

fof(f_14791_2,negated_conjecture,
    ~ s__instance(s__Animal29_1,s__Amphibian),
    inference(definitional_conversion,[status(esa)],[f_14791_1]) ).

cnf(f_14791_3,negated_conjecture,
    ~ s__instance(s__Animal29_1,s__Amphibian),
    inference(clausify,[status(thm)],[f_14791_2]) ).

cnf(equality_625,axiom,
    ( s__instance(Eq_y_0,Eq_y_1)
    | ~ s__instance(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(t1,plain,
    ~ s__instance(s__Animal29_1,s__Amphibian),
    inference(start,[status(thm),parent(0:0)],[f_14791_3]) ).

cnf(t2,plain,
    ( s__Amphibian != s__Amphibian
    | ~ s__instance(s__Frog29_1,s__Amphibian)
    | s__Frog29_1 != s__Animal29_1
    | s__instance(s__Animal29_1,s__Amphibian) ),
    inference(extension,[status(thm),parent(t1:1)],[equality_625]) ).

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

cnf(t4,plain,
    s__Frog29_1 = s__Animal29_1,
    inference(extension,[status(thm),parent(t2:2)],[f_14790_3]) ).

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

cnf(t6,plain,
    s__instance(s__Frog29_1,s__Amphibian),
    inference(extension,[status(thm),parent(t2:3)],[f_14788_3]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).

cnf(t8,plain,
    s__Amphibian = s__Amphibian,
    inference(extension,[status(thm),parent(t2:4)],[f_999_4]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR098+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.01  This is a FOF_CAX_RFO_SEQ problem
% 0.00/0.02  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Sun Sep 20 16:47:37 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 74.36/74.60  % SZS status Theorem for theBenchmark
% 74.36/74.60  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------