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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n010.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 08:50:43 AM UTC 2026

% Result   : Unsatisfiable 0.12s 15.64s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_1,axiom,
    ( A = B
    | smaller(A,B)
    | ~ smaller_or_equal(A,B) ),
    file('MGT001-0.ax',definition_smaller_or_equal_1) ).

cnf(definition_smaller_or_equal_2,axiom,
    ( smaller_or_equal(A,B)
    | ~ smaller(A,B) ),
    file('MGT001-0.ax',definition_smaller_or_equal_2) ).

cnf(definition_smaller_or_equal_3,axiom,
    ( smaller_or_equal(A,B)
    | A != B ),
    file('MGT001-0.ax',definition_smaller_or_equal_3) ).

cnf(definition_greater_or_equal_4,axiom,
    ( A = B
    | greater(A,B)
    | ~ greater_or_equal(A,B) ),
    file('MGT001-0.ax',definition_greater_or_equal_4) ).

cnf(definition_greater_or_equal_5,axiom,
    ( greater_or_equal(A,B)
    | ~ greater(A,B) ),
    file('MGT001-0.ax',definition_greater_or_equal_5) ).

cnf(definition_greater_or_equal_6,axiom,
    ( greater_or_equal(A,B)
    | A != B ),
    file('MGT001-0.ax',definition_greater_or_equal_6) ).

cnf(definition_smaller_7,axiom,
    ( greater(B,A)
    | ~ smaller(A,B) ),
    file('MGT001-0.ax',definition_smaller_7) ).

cnf(definition_smaller_8,axiom,
    ( smaller(B,A)
    | ~ greater(A,B) ),
    file('MGT001-0.ax',definition_smaller_8) ).

cnf(meaning_postulate_greater_strict_9,axiom,
    ( ~ greater(B,A)
    | ~ greater(A,B) ),
    file('MGT001-0.ax',meaning_postulate_greater_strict_9) ).

cnf(meaning_postulate_greater_transitive_10,axiom,
    ( greater(A,C)
    | ~ greater(B,C)
    | ~ greater(A,B) ),
    file('MGT001-0.ax',meaning_postulate_greater_transitive_10) ).

cnf(meaning_postulate_greater_comparable_11,axiom,
    ( greater(A,B)
    | A = B
    | smaller(A,B) ),
    file('MGT001-0.ax',meaning_postulate_greater_comparable_11) ).

cnf(assumption_6_30,axiom,
    ( greater(position(A,B),position(A,C))
    | ~ greater(external_ties(A,B),external_ties(A,C))
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_6_30) ).

cnf(assumption_6_31,axiom,
    ( position(A,B) = position(A,C)
    | external_ties(A,B) != external_ties(A,C)
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_6_31) ).

cnf(assumption_8_32,axiom,
    ( greater(external_ties(A,B),external_ties(A,C))
    | ~ greater(age(A,B),age(A,C))
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_8_32) ).

cnf(lemma_4_33,negated_conjecture,
    organization(sk1),
    file('theBenchmark.p',lemma_4_33) ).

cnf(lemma_4_34,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file('theBenchmark.p',lemma_4_34) ).

cnf(lemma_4_35,negated_conjecture,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    file('theBenchmark.p',lemma_4_35) ).

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,
    ( external_ties(Eq_x_0,Eq_x_1) = external_ties(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_5,axiom,
    ( position(Eq_x_0,Eq_x_1) = position(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

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

cnf(equality_7,axiom,
    ( smaller_or_equal(Eq_y_0,Eq_y_1)
    | ~ smaller_or_equal(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

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

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

cnf(equality_10,axiom,
    ( greater(Eq_y_0,Eq_y_1)
    | ~ greater(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_11,axiom,
    ( organization(Eq_y_0)
    | ~ organization(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% 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
% 0.12/15.61  % Computer : n010.cluster.edu
% 0.12/15.61  % Model    : x86_64 x86_64
% 0.12/15.61  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.61  % Memory   : 8046.5625MB
% 0.12/15.61  % OS       : Linux 6.8.0-71-generic
% 0.12/15.61  % CPULimit : 300
% 0.12/15.61  % WCLimit  : 300
% 0.12/15.61  % DateTime : Sat Sep 19 16:16:30 UTC 2026
% 0.12/15.61  % CPUTime  : 
% 0.12/15.64  % SZS status Unsatisfiable for theBenchmark
% 0.12/15.64  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------