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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : MGT042-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n008.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 08:50:42 AM UTC 2026

% Result   : Unsatisfiable 5.66s 5.94s
% Output   : Proof 5.82s
% 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_4_38,axiom,
    ( smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
    | ~ greater_or_equal(position(A,C),position(A,B))
    | ~ greater(capability(A,C),capability(A,B))
    | has_immunity(A,C)
    | has_immunity(A,B)
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_4_38) ).

cnf(assumption_4_39,axiom,
    ( smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
    | ~ greater(position(A,C),position(A,B))
    | ~ greater_or_equal(capability(A,C),capability(A,B))
    | has_immunity(A,C)
    | has_immunity(A,B)
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_4_39) ).

cnf(assumption_4_40,axiom,
    ( hazard_of_mortality(A,C) = hazard_of_mortality(A,B)
    | position(A,C) != position(A,B)
    | capability(A,C) != capability(A,B)
    | has_immunity(A,C)
    | has_immunity(A,B)
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_4_40) ).

cnf(assumption_5_41,axiom,
    ( greater(capability(A,B),capability(A,C))
    | ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
    | ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_5_41) ).

cnf(assumption_5_42,axiom,
    ( smaller(capability(A,B),capability(A,C))
    | ~ greater(internal_friction(A,B),internal_friction(A,C))
    | ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_5_42) ).

cnf(assumption_5_43,axiom,
    ( capability(A,B) = capability(A,C)
    | internal_friction(A,B) != internal_friction(A,C)
    | stock_of_knowledge(A,B) != stock_of_knowledge(A,C)
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_5_43) ).

cnf(assumption_6_44,axiom,
    ( greater(position(A,B),position(A,C))
    | ~ greater(external_ties(A,B),external_ties(A,C))
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_6_44) ).

cnf(assumption_6_45,axiom,
    ( position(A,B) = position(A,C)
    | external_ties(A,B) != external_ties(A,C)
    | ~ organization(A) ),
    file('theBenchmark.p',assumption_6_45) ).

cnf(lemma_1_46,negated_conjecture,
    organization(sk1),
    file('theBenchmark.p',lemma_1_46) ).

cnf(lemma_1_47,negated_conjecture,
    ~ has_immunity(sk1,sk2),
    file('theBenchmark.p',lemma_1_47) ).

cnf(lemma_1_48,negated_conjecture,
    ~ has_immunity(sk1,sk3),
    file('theBenchmark.p',lemma_1_48) ).

cnf(lemma_1_49,negated_conjecture,
    ( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_49) ).

cnf(lemma_1_50,negated_conjecture,
    ( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_50) ).

cnf(lemma_1_51,negated_conjecture,
    ( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_51) ).

cnf(lemma_1_52,negated_conjecture,
    ( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_52) ).

cnf(lemma_1_53,negated_conjecture,
    ( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_53) ).

cnf(lemma_1_54,negated_conjecture,
    ( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_54) ).

cnf(lemma_1_55,negated_conjecture,
    ( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_55) ).

cnf(lemma_1_56,negated_conjecture,
    ( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_56) ).

cnf(lemma_1_57,negated_conjecture,
    ( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_57) ).

cnf(lemma_1_58,negated_conjecture,
    ( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
    | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_58) ).

cnf(lemma_1_59,negated_conjecture,
    ( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
    | smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_59) ).

cnf(lemma_1_60,negated_conjecture,
    ( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
    | greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_60) ).

cnf(lemma_1_61,negated_conjecture,
    ( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_61) ).

cnf(lemma_1_62,negated_conjecture,
    ( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_62) ).

cnf(lemma_1_63,negated_conjecture,
    ( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_63) ).

cnf(lemma_1_64,negated_conjecture,
    ( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
    | ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
    file('theBenchmark.p',lemma_1_64) ).

cnf(lemma_1_54_simplified,negated_conjecture,
    smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
    inference(simplify_clause,[status(thm)],[lemma_1_54]) ).

cnf(lemma_1_64_simplified,negated_conjecture,
    ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    inference(simplify_clause,[status(thm)],[lemma_1_64]) ).

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

cnf(equality_8,axiom,
    ( internal_friction(Eq_x_0,Eq_x_1) = internal_friction(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_9,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_10,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_11,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_12,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_13,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_14,axiom,
    ( organization(Eq_y_0)
    | ~ organization(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_15,axiom,
    ( has_immunity(Eq_y_0,Eq_y_1)
    | ~ has_immunity(Eq_x_0,Eq_x_1)
    | 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
% 0.00/0.03  % Problem  : MGT042-1 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n008.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sat Sep 19 16:16:08 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 5.66/5.94  % SZS status Unsatisfiable for theBenchmark
% 5.66/5.94  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------