TSTP Solution File: MGT042-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 09:08:36 EDT 2023

% Result   : Unsatisfiable 1.94s 2.04s
% Output   : CNFRefutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  125 (  20 unt;  15 typ;   0 def)
%            Number of atoms       :  289 (  74 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  318 ( 139   ~; 179   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  12   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  128 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    smaller_or_equal: ( $i * $i ) > $o ).

tff(decl_23,type,
    smaller: ( $i * $i ) > $o ).

tff(decl_24,type,
    greater_or_equal: ( $i * $i ) > $o ).

tff(decl_25,type,
    greater: ( $i * $i ) > $o ).

tff(decl_26,type,
    organization: $i > $o ).

tff(decl_27,type,
    has_immunity: ( $i * $i ) > $o ).

tff(decl_28,type,
    capability: ( $i * $i ) > $i ).

tff(decl_29,type,
    position: ( $i * $i ) > $i ).

tff(decl_30,type,
    hazard_of_mortality: ( $i * $i ) > $i ).

tff(decl_31,type,
    stock_of_knowledge: ( $i * $i ) > $i ).

tff(decl_32,type,
    internal_friction: ( $i * $i ) > $i ).

tff(decl_33,type,
    external_ties: ( $i * $i ) > $i ).

tff(decl_34,type,
    sk1: $i ).

tff(decl_35,type,
    sk2: $i ).

tff(decl_36,type,
    sk3: $i ).

cnf(lemma_1_57,negated_conjecture,
    ( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_57) ).

cnf(definition_greater_or_equal_5,axiom,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_5) ).

cnf(meaning_postulate_greater_transitive_10,axiom,
    ( greater(X1,X3)
    | ~ greater(X1,X2)
    | ~ greater(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).

cnf(assumption_6_44,axiom,
    ( greater(position(X1,X2),position(X1,X3))
    | ~ organization(X1)
    | ~ greater(external_ties(X1,X2),external_ties(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_44) ).

cnf(definition_greater_or_equal_4,axiom,
    ( greater(X1,X2)
    | X1 = X2
    | ~ greater_or_equal(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_4) ).

cnf(lemma_1_46,negated_conjecture,
    organization(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_46) ).

cnf(meaning_postulate_greater_strict_9,axiom,
    ( ~ greater(X1,X2)
    | ~ greater(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).

cnf(definition_smaller_7,axiom,
    ( greater(X2,X1)
    | ~ smaller(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).

cnf(meaning_postulate_greater_comparable_11,axiom,
    ( smaller(X1,X2)
    | X1 = X2
    | greater(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).

cnf(assumption_6_45,axiom,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1)
    | external_ties(X1,X2) != external_ties(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_45) ).

cnf(assumption_4_39,axiom,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater_or_equal(capability(X1,X3),capability(X1,X2))
    | ~ greater(position(X1,X3),position(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_39) ).

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('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_64) ).

cnf(lemma_1_47,negated_conjecture,
    ~ has_immunity(sk1,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_47) ).

cnf(lemma_1_48,negated_conjecture,
    ~ has_immunity(sk1,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_48) ).

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('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_54) ).

cnf(lemma_1_49,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_49) ).

cnf(assumption_5_41,axiom,
    ( greater(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_41) ).

cnf(assumption_4_38,axiom,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater(capability(X1,X3),capability(X1,X2))
    | ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_38) ).

cnf(definition_greater_or_equal_6,axiom,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).

cnf(assumption_5_42,axiom,
    ( smaller(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_42) ).

cnf(definition_smaller_or_equal_3,axiom,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).

cnf(definition_smaller_or_equal_1,axiom,
    ( smaller(X1,X2)
    | X1 = X2
    | ~ smaller_or_equal(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).

cnf(lemma_1_51,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_51) ).

cnf(assumption_5_43,axiom,
    ( capability(X1,X2) = capability(X1,X3)
    | ~ organization(X1)
    | stock_of_knowledge(X1,X2) != stock_of_knowledge(X1,X3)
    | internal_friction(X1,X2) != internal_friction(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_43) ).

cnf(c_0_24,negated_conjecture,
    ( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    lemma_1_57 ).

cnf(c_0_25,axiom,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    definition_greater_or_equal_5 ).

cnf(c_0_26,axiom,
    ( greater(X1,X3)
    | ~ greater(X1,X2)
    | ~ greater(X2,X3) ),
    meaning_postulate_greater_transitive_10 ).

cnf(c_0_27,axiom,
    ( greater(position(X1,X2),position(X1,X3))
    | ~ organization(X1)
    | ~ greater(external_ties(X1,X2),external_ties(X1,X3)) ),
    assumption_6_44 ).

cnf(c_0_28,axiom,
    ( greater(X1,X2)
    | X1 = X2
    | ~ greater_or_equal(X1,X2) ),
    definition_greater_or_equal_4 ).

cnf(c_0_29,negated_conjecture,
    greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)),
    inference(csr,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,plain,
    ( greater(X1,position(X2,X3))
    | ~ organization(X2)
    | ~ greater(external_ties(X2,X4),external_ties(X2,X3))
    | ~ greater(X1,position(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    organization(sk1),
    lemma_1_46 ).

cnf(c_0_33,axiom,
    ( ~ greater(X1,X2)
    | ~ greater(X2,X1) ),
    meaning_postulate_greater_strict_9 ).

cnf(c_0_34,negated_conjecture,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | greater(X1,position(sk1,sk2))
    | ~ greater(X1,position(sk1,sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_35,negated_conjecture,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | ~ greater(position(sk1,sk2),X1)
    | ~ greater(X1,position(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_36,axiom,
    ( greater(X2,X1)
    | ~ smaller(X1,X2) ),
    definition_smaller_7 ).

cnf(c_0_37,axiom,
    ( smaller(X1,X2)
    | X1 = X2
    | greater(X1,X2) ),
    meaning_postulate_greater_comparable_11 ).

cnf(c_0_38,axiom,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1)
    | external_ties(X1,X2) != external_ties(X1,X3) ),
    assumption_6_45 ).

cnf(c_0_39,axiom,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater_or_equal(capability(X1,X3),capability(X1,X2))
    | ~ greater(position(X1,X3),position(X1,X2)) ),
    assumption_4_39 ).

cnf(c_0_40,negated_conjecture,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | ~ greater(position(sk1,sk2),position(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_41,plain,
    ( X1 = X2
    | greater(X1,X2)
    | greater(X2,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_42,negated_conjecture,
    ( position(sk1,X1) = position(sk1,X2)
    | external_ties(sk1,X1) != external_ties(sk1,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_32]) ).

cnf(c_0_43,negated_conjecture,
    ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    inference(fof_simplification,[status(thm)],[lemma_1_64]) ).

cnf(c_0_44,plain,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater(position(X1,X3),position(X1,X2))
    | ~ greater(capability(X1,X3),capability(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_25]) ).

cnf(c_0_45,negated_conjecture,
    ( position(sk1,sk2) = position(sk1,sk3)
    | greater(position(sk1,sk3),position(sk1,sk2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ~ has_immunity(sk1,sk2),
    lemma_1_47 ).

cnf(c_0_47,negated_conjecture,
    ~ has_immunity(sk1,sk3),
    lemma_1_48 ).

cnf(c_0_48,negated_conjecture,
    ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    c_0_43 ).

cnf(c_0_49,negated_conjecture,
    smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
    inference(fof_simplification,[status(thm)],[lemma_1_54]) ).

cnf(c_0_50,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    lemma_1_49 ).

cnf(c_0_51,negated_conjecture,
    ( position(sk1,sk2) = position(sk1,sk3)
    | ~ greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_32])]),c_0_46]),c_0_47]),c_0_48]) ).

cnf(c_0_52,axiom,
    ( greater(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X3)) ),
    assumption_5_41 ).

cnf(c_0_53,negated_conjecture,
    smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
    c_0_49 ).

cnf(c_0_54,negated_conjecture,
    greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
    inference(csr,[status(thm)],[c_0_50,c_0_25]) ).

cnf(c_0_55,negated_conjecture,
    ( position(sk1,sk2) = position(sk1,sk3)
    | ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_32]),c_0_53])]) ).

cnf(c_0_56,negated_conjecture,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_54]) ).

cnf(c_0_57,axiom,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater(capability(X1,X3),capability(X1,X2))
    | ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
    assumption_4_38 ).

cnf(c_0_58,negated_conjecture,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | position(sk1,sk2) = position(sk1,sk3) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,axiom,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    definition_greater_or_equal_6 ).

cnf(c_0_60,axiom,
    ( smaller(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
    assumption_5_42 ).

cnf(c_0_61,negated_conjecture,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | has_immunity(sk1,X1)
    | smaller(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,sk2))
    | ~ greater(capability(sk1,X1),capability(sk1,sk2))
    | ~ greater_or_equal(position(sk1,X1),position(sk1,sk3)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_32])]),c_0_46]) ).

cnf(c_0_62,plain,
    greater_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_59]) ).

cnf(c_0_63,plain,
    ( greater(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ greater(internal_friction(X1,X3),internal_friction(X1,X2))
    | ~ smaller_or_equal(stock_of_knowledge(X1,X3),stock_of_knowledge(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | ~ greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_47]),c_0_48]) ).

cnf(c_0_65,plain,
    ( greater(X1,capability(X2,X3))
    | ~ organization(X2)
    | ~ greater(internal_friction(X2,X3),internal_friction(X2,X4))
    | ~ greater(X1,capability(X2,X4))
    | ~ smaller_or_equal(stock_of_knowledge(X2,X3),stock_of_knowledge(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_52]),c_0_32]),c_0_53])]),c_0_56]) ).

cnf(c_0_67,axiom,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    definition_smaller_or_equal_3 ).

cnf(c_0_68,axiom,
    ( smaller(X1,X2)
    | X1 = X2
    | ~ smaller_or_equal(X1,X2) ),
    definition_smaller_or_equal_1 ).

cnf(c_0_69,negated_conjecture,
    ( greater(X1,capability(sk1,sk2))
    | ~ greater(internal_friction(sk1,sk2),internal_friction(sk1,X2))
    | ~ greater(X1,capability(sk1,X2))
    | ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_32])]) ).

cnf(c_0_70,plain,
    smaller_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_67]) ).

cnf(c_0_71,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_53]) ).

cnf(c_0_72,negated_conjecture,
    ( greater(X1,capability(sk1,sk2))
    | ~ greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3))
    | ~ greater(X1,capability(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_71]) ).

cnf(c_0_74,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | greater(X1,capability(sk1,sk2))
    | ~ greater(X1,capability(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_75,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | ~ greater(capability(sk1,sk2),X1)
    | ~ greater(X1,capability(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_74]) ).

cnf(c_0_76,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | ~ greater(capability(sk1,sk2),capability(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_74]) ).

cnf(c_0_77,plain,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | ~ organization(X1)
    | ~ greater(capability(X1,X2),capability(X1,X3))
    | ~ greater(external_ties(X1,X2),external_ties(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_27]) ).

cnf(c_0_78,negated_conjecture,
    ( capability(sk1,sk2) = capability(sk1,sk3)
    | internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_41]) ).

cnf(c_0_79,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    lemma_1_51 ).

cnf(c_0_80,negated_conjecture,
    ( position(sk1,sk2) = position(sk1,sk3)
    | ~ greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3))
    | ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_63]),c_0_32])]) ).

cnf(c_0_81,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | capability(sk1,sk2) = capability(sk1,sk3)
    | ~ greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_32])]),c_0_47]),c_0_46]),c_0_48]) ).

cnf(c_0_82,negated_conjecture,
    ( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3)) ),
    inference(rw,[status(thm)],[c_0_79,c_0_66]) ).

cnf(c_0_83,negated_conjecture,
    ( position(sk1,sk2) = position(sk1,sk3)
    | ~ greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_66]),c_0_70])]) ).

cnf(c_0_84,negated_conjecture,
    ( capability(sk1,sk2) = capability(sk1,sk3)
    | internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_85,plain,
    ( ~ organization(X1)
    | ~ greater(position(X1,X2),position(X1,X3))
    | ~ greater(external_ties(X1,X3),external_ties(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_27]) ).

cnf(c_0_86,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | position(sk1,sk2) = position(sk1,sk3) ),
    inference(spm,[status(thm)],[c_0_83,c_0_73]) ).

cnf(c_0_87,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | capability(sk1,sk2) = capability(sk1,sk3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_84]),c_0_84]) ).

cnf(c_0_88,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | ~ greater(position(sk1,sk3),position(sk1,X1))
    | ~ greater(external_ties(sk1,X1),external_ties(sk1,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_32])]) ).

cnf(c_0_89,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | greater(position(sk1,X1),position(sk1,sk3))
    | ~ greater(external_ties(sk1,X1),external_ties(sk1,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_86]),c_0_32])]) ).

cnf(c_0_90,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | ~ greater(capability(sk1,sk3),capability(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_87]) ).

cnf(c_0_91,axiom,
    ( capability(X1,X2) = capability(X1,X3)
    | ~ organization(X1)
    | stock_of_knowledge(X1,X2) != stock_of_knowledge(X1,X3)
    | internal_friction(X1,X2) != internal_friction(X1,X3) ),
    assumption_5_43 ).

cnf(c_0_92,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | ~ greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_93,negated_conjecture,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_52]),c_0_32]),c_0_70])]) ).

cnf(c_0_94,negated_conjecture,
    ( capability(sk1,X1) = capability(sk1,X2)
    | stock_of_knowledge(sk1,X1) != stock_of_knowledge(sk1,X2)
    | internal_friction(sk1,X1) != internal_friction(sk1,X2) ),
    inference(spm,[status(thm)],[c_0_91,c_0_32]) ).

cnf(c_0_95,negated_conjecture,
    internal_friction(sk1,sk2) = internal_friction(sk1,sk3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_82]),c_0_93]) ).

cnf(c_0_96,plain,
    ( has_immunity(X1,X2)
    | smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater(capability(X1,X2),capability(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_62]) ).

cnf(c_0_97,negated_conjecture,
    ( capability(sk1,sk2) = capability(sk1,X1)
    | stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,X1)
    | internal_friction(sk1,sk3) != internal_friction(sk1,X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_66]) ).

cnf(c_0_98,negated_conjecture,
    ( smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk2))
    | stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,X1)
    | internal_friction(sk1,sk3) != internal_friction(sk1,X1)
    | ~ greater(capability(sk1,X1),capability(sk1,X1)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_32])]),c_0_46]) ).

cnf(c_0_99,negated_conjecture,
    ( smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk2))
    | stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,X1)
    | internal_friction(sk1,sk3) != internal_friction(sk1,X1)
    | ~ greater(stock_of_knowledge(sk1,X1),stock_of_knowledge(sk1,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_52]),c_0_32]),c_0_70])]) ).

cnf(c_0_100,negated_conjecture,
    ( has_immunity(sk1,X1)
    | has_immunity(sk1,X2)
    | smaller(hazard_of_mortality(sk1,X2),hazard_of_mortality(sk1,X1))
    | stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,X2)
    | internal_friction(sk1,sk3) != internal_friction(sk1,X2)
    | ~ greater(position(sk1,X2),position(sk1,X1))
    | ~ greater_or_equal(capability(sk1,sk2),capability(sk1,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_97]),c_0_32])]) ).

cnf(c_0_101,negated_conjecture,
    ( smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk2))
    | ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_66]),c_0_95])]) ).

cnf(c_0_102,negated_conjecture,
    ( has_immunity(sk1,X1)
    | smaller(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,sk2))
    | stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,X1)
    | internal_friction(sk1,sk3) != internal_friction(sk1,X1)
    | ~ greater(position(sk1,X1),position(sk1,sk2)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_62]),c_0_46]) ).

cnf(c_0_103,negated_conjecture,
    ( greater(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk2))
    | ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_101]) ).

cnf(c_0_104,negated_conjecture,
    position(sk1,sk2) = position(sk1,sk3),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_45]),c_0_47]),c_0_48]) ).

cnf(c_0_105,negated_conjecture,
    ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_103]),c_0_103]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ greater(position(sk1,sk3),position(sk1,X1))
    | ~ greater(external_ties(sk1,X1),external_ties(sk1,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_104]),c_0_32])]) ).

cnf(c_0_107,negated_conjecture,
    ( greater(position(sk1,X1),position(sk1,sk3))
    | ~ greater(external_ties(sk1,X1),external_ties(sk1,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_104]),c_0_32])]) ).

cnf(c_0_108,negated_conjecture,
    greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
    inference(sr,[status(thm)],[c_0_82,c_0_105]) ).

cnf(c_0_109,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.35  % Computer : n019.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Mon Aug 28 06:23:43 EDT 2023
% 0.21/0.35  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 1.94/2.04  % Version  : CSE_E---1.5
% 1.94/2.04  % Problem  : theBenchmark.p
% 1.94/2.04  % Proof found
% 1.94/2.04  % SZS status Theorem for theBenchmark.p
% 1.94/2.04  % SZS output start Proof
% See solution above
% 1.94/2.05  % Total time : 1.464000 s
% 1.94/2.05  % SZS output end Proof
% 1.94/2.05  % Total time : 1.468000 s
%------------------------------------------------------------------------------