TSTP Solution File: MGT046+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT046+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n017.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 09:08:38 EDT 2023

% Result   : Theorem 1.70s 1.76s
% Output   : CNFRefutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   98 (  14 unt;  19 typ;   0 def)
%            Number of atoms       :  281 (  47 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  312 ( 110   ~; 107   |;  56   &)
%                                         (   5 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   32 (  16   >;  16   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  165 (  20 sgn;  88   !;   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_endowment: $i > $o ).

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

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

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

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

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

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

tff(decl_34,type,
    external_ties: ( $i * $i ) > $i ).

tff(decl_35,type,
    age: ( $i * $i ) > $i ).

tff(decl_36,type,
    epred1_3: ( $i * $i * $i ) > $o ).

tff(decl_37,type,
    epred2_3: ( $i * $i * $i ) > $o ).

tff(decl_38,type,
    esk1_0: $i ).

tff(decl_39,type,
    esk2_0: $i ).

tff(decl_40,type,
    esk3_0: $i ).

fof(theorem_1,conjecture,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & ~ has_endowment(X1)
        & greater(age(X1,X4),age(X1,X5)) )
     => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_1) ).

fof(assumption_4,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & ~ has_immunity(X1,X5)
        & ~ has_immunity(X1,X4) )
     => ( ( ( greater(capability(X1,X4),capability(X1,X5))
            & greater_or_equal(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( greater_or_equal(capability(X1,X4),capability(X1,X5))
            & greater(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( capability(X1,X4) = capability(X1,X5)
            & position(X1,X4) = position(X1,X5) )
         => hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).

fof(assumption_6,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => ( ( greater(external_ties(X1,X4),external_ties(X1,X5))
         => greater(position(X1,X4),position(X1,X5)) )
        & ( external_ties(X1,X4) = external_ties(X1,X5)
         => position(X1,X4) = position(X1,X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).

fof(assumption_8,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & greater(age(X1,X4),age(X1,X5)) )
     => greater(external_ties(X1,X4),external_ties(X1,X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8) ).

fof(assumption_1,axiom,
    ! [X1,X4] :
      ( ( organization(X1)
        & ~ has_endowment(X1) )
     => ~ has_immunity(X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).

fof(definition_greater_or_equal,axiom,
    ! [X1,X2] :
      ( greater_or_equal(X1,X2)
    <=> ( greater(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).

fof(definition_smaller_or_equal,axiom,
    ! [X1,X2] :
      ( smaller_or_equal(X1,X2)
    <=> ( smaller(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).

fof(definition_smaller,axiom,
    ! [X1,X2] :
      ( smaller(X1,X2)
    <=> greater(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).

fof(assumption_7,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & greater(age(X1,X4),age(X1,X5)) )
     => greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7) ).

fof(assumption_9,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => internal_friction(X1,X4) = internal_friction(X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9) ).

fof(meaning_postulate_greater_comparable,axiom,
    ! [X1,X2] :
      ( smaller(X1,X2)
      | X1 = X2
      | greater(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).

fof(assumption_5,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => ( ( ( greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => greater(capability(X1,X4),capability(X1,X5)) )
        & ( ( smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & greater(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => smaller(capability(X1,X4),capability(X1,X5)) )
        & ( ( stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5)
            & internal_friction(X1,X4) = internal_friction(X1,X5) )
         => capability(X1,X4) = capability(X1,X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).

fof(c_0_12,plain,
    ! [X1,X4,X5] :
      ( epred1_3(X5,X4,X1)
    <=> ( ( ( greater(capability(X1,X4),capability(X1,X5))
            & greater_or_equal(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( greater_or_equal(capability(X1,X4),capability(X1,X5))
            & greater(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( capability(X1,X4) = capability(X1,X5)
            & position(X1,X4) = position(X1,X5) )
         => hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ) ) ),
    introduced(definition) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1,X5,X4] :
        ( ( organization(X1)
          & ~ has_endowment(X1)
          & greater(age(X1,X4),age(X1,X5)) )
       => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_1])]) ).

fof(c_0_14,plain,
    ! [X1,X4,X5] :
      ( epred1_3(X5,X4,X1)
     => ( ( ( greater(capability(X1,X4),capability(X1,X5))
            & greater_or_equal(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( greater_or_equal(capability(X1,X4),capability(X1,X5))
            & greater(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( capability(X1,X4) = capability(X1,X5)
            & position(X1,X4) = position(X1,X5) )
         => hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & ~ has_immunity(X1,X5)
        & ~ has_immunity(X1,X4) )
     => epred1_3(X5,X4,X1) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_4]),c_0_12]) ).

fof(c_0_16,plain,
    ! [X1,X4,X5] :
      ( epred2_3(X5,X4,X1)
    <=> ( ( ( greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => greater(capability(X1,X4),capability(X1,X5)) )
        & ( ( smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & greater(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => smaller(capability(X1,X4),capability(X1,X5)) )
        & ( ( stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5)
            & internal_friction(X1,X4) = internal_friction(X1,X5) )
         => capability(X1,X4) = capability(X1,X5) ) ) ),
    introduced(definition) ).

fof(c_0_17,negated_conjecture,
    ( organization(esk1_0)
    & ~ has_endowment(esk1_0)
    & greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0))
    & ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_18,plain,
    ! [X42,X43,X44] :
      ( ( ~ greater(capability(X42,X43),capability(X42,X44))
        | ~ greater_or_equal(position(X42,X43),position(X42,X44))
        | smaller(hazard_of_mortality(X42,X43),hazard_of_mortality(X42,X44))
        | ~ epred1_3(X44,X43,X42) )
      & ( ~ greater_or_equal(capability(X42,X43),capability(X42,X44))
        | ~ greater(position(X42,X43),position(X42,X44))
        | smaller(hazard_of_mortality(X42,X43),hazard_of_mortality(X42,X44))
        | ~ epred1_3(X44,X43,X42) )
      & ( capability(X42,X43) != capability(X42,X44)
        | position(X42,X43) != position(X42,X44)
        | hazard_of_mortality(X42,X43) = hazard_of_mortality(X42,X44)
        | ~ epred1_3(X44,X43,X42) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

fof(c_0_19,plain,
    ! [X27,X28,X29] :
      ( ( ~ greater(external_ties(X27,X29),external_ties(X27,X28))
        | greater(position(X27,X29),position(X27,X28))
        | ~ organization(X27) )
      & ( external_ties(X27,X29) != external_ties(X27,X28)
        | position(X27,X29) = position(X27,X28)
        | ~ organization(X27) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])]) ).

fof(c_0_20,plain,
    ! [X33,X34,X35] :
      ( ~ organization(X33)
      | ~ greater(age(X33,X35),age(X33,X34))
      | greater(external_ties(X33,X35),external_ties(X33,X34)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_8])]) ).

fof(c_0_21,plain,
    ! [X1,X4] :
      ( ( organization(X1)
        & ~ has_endowment(X1) )
     => ~ has_immunity(X1,X4) ),
    inference(fof_simplification,[status(thm)],[assumption_1]) ).

fof(c_0_22,plain,
    ! [X21,X22,X23] :
      ( ~ organization(X21)
      | has_immunity(X21,X22)
      | has_immunity(X21,X23)
      | epred1_3(X22,X23,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).

fof(c_0_23,plain,
    ! [X1,X4,X5] :
      ( epred2_3(X5,X4,X1)
     => ( ( ( greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => greater(capability(X1,X4),capability(X1,X5)) )
        & ( ( smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & greater(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => smaller(capability(X1,X4),capability(X1,X5)) )
        & ( ( stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5)
            & internal_friction(X1,X4) = internal_friction(X1,X5) )
         => capability(X1,X4) = capability(X1,X5) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_16]) ).

cnf(c_0_24,negated_conjecture,
    ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ( smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | ~ greater_or_equal(capability(X1,X2),capability(X1,X3))
    | ~ greater(position(X1,X2),position(X1,X3))
    | ~ epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_26,plain,
    ! [X8,X9] :
      ( ( ~ greater_or_equal(X8,X9)
        | greater(X8,X9)
        | X8 = X9 )
      & ( ~ greater(X8,X9)
        | greater_or_equal(X8,X9) )
      & ( X8 != X9
        | greater_or_equal(X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_greater_or_equal])])]) ).

cnf(c_0_27,plain,
    ( greater(position(X1,X2),position(X1,X3))
    | ~ greater(external_ties(X1,X2),external_ties(X1,X3))
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ( greater(external_ties(X1,X2),external_ties(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_29,plain,
    ! [X19,X20] :
      ( ~ organization(X19)
      | has_endowment(X19)
      | ~ has_immunity(X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).

cnf(c_0_30,plain,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | epred1_3(X2,X3,X1)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_32,plain,
    ! [X45,X46,X47] :
      ( ( ~ greater(stock_of_knowledge(X45,X46),stock_of_knowledge(X45,X47))
        | ~ smaller_or_equal(internal_friction(X45,X46),internal_friction(X45,X47))
        | greater(capability(X45,X46),capability(X45,X47))
        | ~ epred2_3(X47,X46,X45) )
      & ( ~ smaller_or_equal(stock_of_knowledge(X45,X46),stock_of_knowledge(X45,X47))
        | ~ greater(internal_friction(X45,X46),internal_friction(X45,X47))
        | smaller(capability(X45,X46),capability(X45,X47))
        | ~ epred2_3(X47,X46,X45) )
      & ( stock_of_knowledge(X45,X46) != stock_of_knowledge(X45,X47)
        | internal_friction(X45,X46) != internal_friction(X45,X47)
        | capability(X45,X46) = capability(X45,X47)
        | ~ epred2_3(X47,X46,X45) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).

fof(c_0_33,plain,
    ! [X6,X7] :
      ( ( ~ smaller_or_equal(X6,X7)
        | smaller(X6,X7)
        | X6 = X7 )
      & ( ~ smaller(X6,X7)
        | smaller_or_equal(X6,X7) )
      & ( X6 != X7
        | smaller_or_equal(X6,X7) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ epred1_3(esk2_0,esk3_0,esk1_0)
    | ~ greater(position(esk1_0,esk3_0),position(esk1_0,esk2_0))
    | ~ greater_or_equal(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_35,plain,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36,plain,
    ( greater(position(X1,X2),position(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_37,negated_conjecture,
    greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_38,plain,
    ( has_endowment(X1)
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,negated_conjecture,
    ( epred1_3(X1,X2,esk1_0)
    | has_immunity(esk1_0,X1)
    | has_immunity(esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_40,negated_conjecture,
    ~ has_endowment(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_41,plain,
    ( greater(capability(X1,X2),capability(X1,X3))
    | ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X3))
    | ~ epred2_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_43,plain,
    ! [X10,X11] :
      ( ( ~ smaller(X10,X11)
        | greater(X11,X10) )
      & ( ~ greater(X11,X10)
        | smaller(X10,X11) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).

fof(c_0_44,plain,
    ! [X30,X31,X32] :
      ( ~ organization(X30)
      | ~ greater(age(X30,X32),age(X30,X31))
      | greater(stock_of_knowledge(X30,X32),stock_of_knowledge(X30,X31)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_7])]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ epred1_3(esk2_0,esk3_0,esk1_0)
    | ~ greater(position(esk1_0,esk3_0),position(esk1_0,esk2_0))
    | ~ greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_46,negated_conjecture,
    greater(position(esk1_0,esk3_0),position(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_31])]) ).

cnf(c_0_47,negated_conjecture,
    ( epred1_3(X1,X2,esk1_0)
    | has_immunity(esk1_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[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_48,plain,
    ( greater(capability(X1,X2),capability(X1,X3))
    | ~ epred2_3(X3,X2,X1)
    | ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ smaller(internal_friction(X1,X2),internal_friction(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_49,plain,
    ( smaller(X2,X1)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_50,plain,
    ( greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ epred1_3(esk2_0,esk3_0,esk1_0)
    | ~ greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).

cnf(c_0_52,negated_conjecture,
    epred1_3(X1,X2,esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_47]),c_0_31])]),c_0_40]) ).

cnf(c_0_53,plain,
    ( greater(capability(X1,X2),capability(X1,X3))
    | ~ epred2_3(X3,X2,X1)
    | ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ greater(internal_friction(X1,X3),internal_friction(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,negated_conjecture,
    greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_37]),c_0_31])]) ).

cnf(c_0_55,negated_conjecture,
    ~ greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).

fof(c_0_56,plain,
    ! [X36,X37,X38] :
      ( ~ organization(X36)
      | internal_friction(X36,X38) = internal_friction(X36,X37) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_9])]) ).

fof(c_0_57,plain,
    ! [X17,X18] :
      ( smaller(X17,X18)
      | X17 = X18
      | greater(X17,X18) ),
    inference(variable_rename,[status(thm)],[meaning_postulate_greater_comparable]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ epred2_3(esk2_0,esk3_0,esk1_0)
    | ~ greater(internal_friction(esk1_0,esk2_0),internal_friction(esk1_0,esk3_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).

cnf(c_0_59,plain,
    ( internal_friction(X1,X2) = internal_friction(X1,X3)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_60,plain,
    ( smaller(X1,X2)
    | X1 = X2
    | greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ epred2_3(esk2_0,esk3_0,esk1_0)
    | ~ greater(internal_friction(esk1_0,esk2_0),internal_friction(esk1_0,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_31])]) ).

fof(c_0_62,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => epred2_3(X5,X4,X1) ),
    inference(apply_def,[status(thm)],[assumption_5,c_0_16]) ).

cnf(c_0_63,plain,
    ( internal_friction(X1,X2) = internal_friction(X1,X3)
    | greater(internal_friction(X1,X2),internal_friction(X1,X3))
    | greater(capability(X1,X2),capability(X1,X3))
    | ~ epred2_3(X3,X2,X1)
    | ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ epred2_3(esk2_0,esk3_0,esk1_0)
    | ~ greater(internal_friction(esk1_0,X1),internal_friction(esk1_0,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_59]),c_0_31])]) ).

fof(c_0_65,plain,
    ! [X24,X25,X26] :
      ( ~ organization(X24)
      | epred2_3(X25,X26,X24) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).

cnf(c_0_66,negated_conjecture,
    ( internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0)
    | ~ epred2_3(esk2_0,esk3_0,esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_54]),c_0_55]),c_0_64]) ).

cnf(c_0_67,plain,
    ( epred2_3(X2,X3,X1)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_68,negated_conjecture,
    internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_31])]) ).

cnf(c_0_69,negated_conjecture,
    internal_friction(esk1_0,X1) = internal_friction(esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_68]),c_0_31])]) ).

cnf(c_0_70,plain,
    ( 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,X4)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_59]),c_0_67]) ).

cnf(c_0_71,negated_conjecture,
    internal_friction(esk1_0,X1) = internal_friction(esk1_0,esk1_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_69]),c_0_69]) ).

cnf(c_0_72,plain,
    ( 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,X4),internal_friction(X1,X5)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_59]) ).

cnf(c_0_73,negated_conjecture,
    internal_friction(esk1_0,X1) = internal_friction(esk1_0,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_71]),c_0_31])]) ).

cnf(c_0_74,plain,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_75,plain,
    ( greater(capability(esk1_0,X1),capability(esk1_0,X2))
    | ~ greater(stock_of_knowledge(esk1_0,X1),stock_of_knowledge(esk1_0,X2))
    | ~ smaller_or_equal(internal_friction(esk1_0,X3),internal_friction(esk1_0,X4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_31])]) ).

cnf(c_0_76,plain,
    smaller_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_74]) ).

cnf(c_0_77,plain,
    ( greater(capability(esk1_0,X1),capability(esk1_0,X2))
    | ~ greater(stock_of_knowledge(esk1_0,X1),stock_of_knowledge(esk1_0,X2)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_78,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_54]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT046+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 06:02:27 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 1.70/1.76  % Version  : CSE_E---1.5
% 1.70/1.76  % Problem  : theBenchmark.p
% 1.70/1.76  % Proof found
% 1.70/1.76  % SZS status Theorem for theBenchmark.p
% 1.70/1.76  % SZS output start Proof
% See solution above
% 1.70/1.77  % Total time : 1.174000 s
% 1.70/1.77  % SZS output end Proof
% 1.70/1.77  % Total time : 1.177000 s
%------------------------------------------------------------------------------