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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT042-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n018.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 : Tue May  5 04:48:18 PM UTC 2026

% Result   : Unsatisfiable 1.39s 1.76s
% Output   : CNFRefutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   82 (  19 unt;  26 nHn;  80 RR)
%            Number of literals    :  198 (  48 equ;  93 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            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   :   88 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',lemma_1_57) ).

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

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/sandbox/benchmark/theBenchmark.p',assumption_4_39) ).

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/sandbox/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/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_4) ).

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/sandbox/benchmark/theBenchmark.p',lemma_1_64) ).

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

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

cnf(lemma_1_48,negated_conjecture,
    ~ has_immunity(sk1,sk3),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',assumption_5_41) ).

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

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/sandbox/benchmark/theBenchmark.p',lemma_1_51) ).

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/sandbox/benchmark/theBenchmark.p',assumption_4_38) ).

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

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/sandbox/benchmark/theBenchmark.p',assumption_5_42) ).

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

cnf(definition_smaller_or_equal_3,axiom,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).

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/sandbox/benchmark/theBenchmark.p',assumption_5_43) ).

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

cnf(c_0_22,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_23,axiom,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    definition_greater_or_equal_5 ).

cnf(c_0_24,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_25,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_26,axiom,
    ( greater(X1,X2)
    | X1 = X2
    | ~ greater_or_equal(X1,X2) ),
    definition_greater_or_equal_4 ).

cnf(c_0_27,negated_conjecture,
    greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)),
    inference(csr,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    inference(fof_simplification,[status(thm)],[lemma_1_64]) ).

cnf(c_0_29,plain,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater(external_ties(X1,X3),external_ties(X1,X2))
    | ~ greater_or_equal(capability(X1,X3),capability(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,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_26,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    organization(sk1),
    lemma_1_46 ).

cnf(c_0_32,negated_conjecture,
    ~ has_immunity(sk1,sk2),
    lemma_1_47 ).

cnf(c_0_33,negated_conjecture,
    ~ has_immunity(sk1,sk3),
    lemma_1_48 ).

cnf(c_0_34,negated_conjecture,
    ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    c_0_28 ).

cnf(c_0_35,negated_conjecture,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | ~ greater_or_equal(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_29,c_0_30]),c_0_31])]),c_0_32]),c_0_33]),c_0_34]) ).

cnf(c_0_36,negated_conjecture,
    smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
    inference(fof_simplification,[status(thm)],[lemma_1_54]) ).

cnf(c_0_37,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_38,negated_conjecture,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | ~ greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_23]) ).

cnf(c_0_39,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_40,negated_conjecture,
    smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
    c_0_36 ).

cnf(c_0_41,negated_conjecture,
    greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
    inference(csr,[status(thm)],[c_0_37,c_0_23]) ).

cnf(c_0_42,axiom,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1)
    | external_ties(X1,X2) != external_ties(X1,X3) ),
    assumption_6_45 ).

cnf(c_0_43,negated_conjecture,
    ( external_ties(sk1,sk2) = external_ties(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_38,c_0_39]),c_0_31]),c_0_40])]) ).

cnf(c_0_44,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_26,c_0_41]) ).

cnf(c_0_45,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_46,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_47,negated_conjecture,
    ( position(sk1,X1) = position(sk1,X2)
    | external_ties(sk1,X1) != external_ties(sk1,X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_31]) ).

cnf(c_0_48,negated_conjecture,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | external_ties(sk1,sk2) = external_ties(sk1,sk3) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | ~ greater_or_equal(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_29,c_0_45]),c_0_31])]),c_0_32]),c_0_33]),c_0_34]) ).

cnf(c_0_50,axiom,
    ( greater(X2,X1)
    | ~ smaller(X1,X2) ),
    definition_smaller_7 ).

cnf(c_0_51,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_52,plain,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater(stock_of_knowledge(X1,X3),stock_of_knowledge(X1,X2))
    | ~ greater_or_equal(position(X1,X3),position(X1,X2))
    | ~ smaller_or_equal(internal_friction(X1,X3),internal_friction(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_39]) ).

cnf(c_0_53,negated_conjecture,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | position(sk1,sk2) = position(sk1,X1)
    | external_ties(sk1,sk3) != external_ties(sk1,X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,axiom,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    definition_greater_or_equal_6 ).

cnf(c_0_55,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | ~ greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_23]) ).

cnf(c_0_56,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_50,c_0_51]) ).

cnf(c_0_57,negated_conjecture,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_44]),c_0_31]),c_0_40])]),c_0_32]),c_0_33]),c_0_34]) ).

cnf(c_0_58,negated_conjecture,
    ( position(sk1,sk2) = position(sk1,sk3)
    | stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3) ),
    inference(er,[status(thm)],[c_0_53]) ).

cnf(c_0_59,plain,
    greater_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_54]) ).

cnf(c_0_60,axiom,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    definition_smaller_or_equal_3 ).

cnf(c_0_61,axiom,
    ( smaller(X1,X2)
    | X1 = X2
    | ~ smaller_or_equal(X1,X2) ),
    definition_smaller_or_equal_1 ).

cnf(c_0_62,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | ~ 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_55,c_0_56]),c_0_31])]) ).

cnf(c_0_63,negated_conjecture,
    stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).

cnf(c_0_64,plain,
    smaller_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_60]) ).

cnf(c_0_65,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_61,c_0_40]) ).

cnf(c_0_66,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3))
    | ~ greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_63]),c_0_64])]) ).

cnf(c_0_67,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_50,c_0_65]) ).

cnf(c_0_68,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_69,axiom,
    ( ~ greater(X1,X2)
    | ~ greater(X2,X1) ),
    meaning_postulate_greater_strict_9 ).

cnf(c_0_70,negated_conjecture,
    ( 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_66,c_0_67]) ).

cnf(c_0_71,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_68,c_0_31]) ).

cnf(c_0_72,negated_conjecture,
    internal_friction(sk1,sk2) = internal_friction(sk1,sk3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_70]) ).

cnf(c_0_73,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_71,c_0_63]),c_0_72]) ).

cnf(c_0_74,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | ~ greater(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_69,c_0_45]) ).

cnf(c_0_75,negated_conjecture,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,X1)
    | internal_friction(sk1,sk3) != internal_friction(sk1,X1)
    | ~ greater_or_equal(capability(sk1,sk3),capability(sk1,X1)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_73]) ).

cnf(c_0_76,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3))
    | ~ greater(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
    inference(rw,[status(thm)],[c_0_74,c_0_63]) ).

cnf(c_0_77,negated_conjecture,
    external_ties(sk1,sk2) = external_ties(sk1,sk3),
    inference(spm,[status(thm)],[c_0_75,c_0_59]) ).

cnf(c_0_78,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_45,c_0_63]) ).

cnf(c_0_79,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3))
    | ~ greater(external_ties(sk1,sk3),external_ties(sk1,sk3)) ),
    inference(rw,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_80,negated_conjecture,
    greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3)),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_77]),c_0_79]) ).

cnf(c_0_81,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_80]),c_0_80])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT042-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33  % Computer : n018.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon May  4 23:29:02 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.39/1.76  % Version  : CSE_E---1.7
% 1.39/1.76  % Problem  : theBenchmark.p
% 1.39/1.76  % SZS status Unsatisfiable for theBenchmark.p
% 1.39/1.76  % SZS output start CNFRefutation
% See solution above
% 1.39/1.76  % Total time : 1.373s
%------------------------------------------------------------------------------