TSTP Solution File: MGT037-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT037-1 : 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 : n008.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 09:08:32 EDT 2023

% Result   : Unsatisfiable 0.22s 0.60s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   46
% Syntax   : Number of formulae    :   98 (  22 unt;  22 typ;   0 def)
%            Number of atoms       :  217 (  27 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  273 ( 132   ~; 141   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  16   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-2 aty)
%            Number of variables   :   90 (   0 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    efficient_producers: $i ).

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

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

tff(decl_26,type,
    cardinality_at_time: ( $i * $i ) > $i ).

tff(decl_27,type,
    zero: $i ).

tff(decl_28,type,
    sk1: ( $i * $i ) > $i ).

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

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

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

tff(decl_32,type,
    an_organisation: $i ).

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

tff(decl_34,type,
    decreases: $i > $o ).

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

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

tff(decl_37,type,
    first_movers: $i ).

tff(decl_38,type,
    constant: $i > $o ).

tff(decl_39,type,
    equilibrium: $i > $i ).

tff(decl_40,type,
    resources: ( $i * $i ) > $i ).

tff(decl_41,type,
    resilience: $i > $i ).

tff(decl_42,type,
    sk3: $i ).

tff(decl_43,type,
    sk4: $i ).

cnf(mp_efficient_producers_exist_40,axiom,
    ( cardinality_at_time(efficient_producers,X2) = zero
    | greater(cardinality_at_time(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_efficient_producers_exist_40) ).

cnf(prove_t6_52,negated_conjecture,
    in_environment(sk3,sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_52) ).

cnf(prove_t6_51,negated_conjecture,
    environment(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_51) ).

cnf(prove_t6_54,negated_conjecture,
    ~ greater(cardinality_at_time(efficient_producers,sk4),zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_54) ).

cnf(mp_previous_negative_growth_29,axiom,
    ( in_environment(X1,sk1(X2,X1))
    | ~ environment(X1)
    | ~ greater_or_equal(X2,appear(efficient_producers,X1))
    | cardinality_at_time(efficient_producers,X2) != zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth_29) ).

cnf(prove_t6_53,negated_conjecture,
    greater_or_equal(sk4,appear(efficient_producers,sk3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_53) ).

cnf(mp_previous_negative_growth_31,axiom,
    ( greater(zero,growth_rate(efficient_producers,sk1(X2,X1)))
    | ~ environment(X1)
    | ~ greater_or_equal(X2,appear(efficient_producers,X1))
    | cardinality_at_time(efficient_producers,X2) != zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth_31) ).

cnf(a9_50,hypothesis,
    ( X2 = efficient_producers
    | X2 = first_movers
    | ~ environment(X1)
    | ~ subpopulation(X2,X1,X3)
    | ~ greater(cardinality_at_time(X2,X3),zero) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a9_50) ).

cnf(mp_non_decreasing_34,axiom,
    ( decreases(number_of_organizations(X1,X2))
    | greater(cardinality_at_time(sk2(X2,X1),X2),zero)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing_34) ).

cnf(mp_non_decreasing_33,axiom,
    ( decreases(number_of_organizations(X1,X2))
    | subpopulation(sk2(X2,X1),X1,X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing_33) ).

cnf(a12_48,hypothesis,
    ( greater(zero,growth_rate(X3,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(resilience(X4),resilience(X3))
    | ~ greater(zero,growth_rate(X4,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_48) ).

cnf(mp_non_decreasing_35,axiom,
    ( decreases(number_of_organizations(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(zero,growth_rate(sk2(X2,X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing_35) ).

cnf(a2_49,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_49) ).

cnf(a6_46,hypothesis,
    ( ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ decreases(resources(X1,X2))
    | ~ decreases(number_of_organizations(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_46) ).

cnf(a1_45,hypothesis,
    ( greater(number_of_organizations(X1,X2),zero)
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_45) ).

cnf(mp_environment_inequality_42,axiom,
    ( greater_or_equal(X2,appear(an_organisation,X1))
    | greater(appear(an_organisation,X1),X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_inequality_42) ).

cnf(mp_subpopulations_38,axiom,
    ( subpopulation(efficient_producers,X1,X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_38) ).

cnf(a3_43,hypothesis,
    ( decreases(resources(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(number_of_organizations(X1,X2),zero)
    | ~ greater(equilibrium(X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_43) ).

cnf(mp_no_members_36,axiom,
    ( cardinality_at_time(X3,X2) = zero
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | number_of_organizations(X1,X2) != zero
    | ~ subpopulation(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_no_members_36) ).

cnf(mp_empty_not_decreasing_39,axiom,
    ( cardinality_at_time(X1,X2) != zero
    | ~ greater(zero,growth_rate(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_empty_not_decreasing_39) ).

cnf(a3_44,hypothesis,
    ( greater(equilibrium(X1),X2)
    | constant(resources(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(number_of_organizations(X1,X2),zero) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_44) ).

cnf(mp_start_of_organizations_32,axiom,
    ( number_of_organizations(X1,X2) = zero
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(appear(an_organisation,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_start_of_organizations_32) ).

cnf(a6_47,hypothesis,
    ( constant(number_of_organizations(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ constant(resources(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_47) ).

cnf(mp_constant_not_decrease_41,axiom,
    ( ~ constant(X1)
    | ~ decreases(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease_41) ).

cnf(c_0_24,axiom,
    ( cardinality_at_time(efficient_producers,X2) = zero
    | greater(cardinality_at_time(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    mp_efficient_producers_exist_40 ).

cnf(c_0_25,negated_conjecture,
    in_environment(sk3,sk4),
    prove_t6_52 ).

cnf(c_0_26,negated_conjecture,
    environment(sk3),
    prove_t6_51 ).

cnf(c_0_27,negated_conjecture,
    ~ greater(cardinality_at_time(efficient_producers,sk4),zero),
    prove_t6_54 ).

cnf(c_0_28,axiom,
    ( in_environment(X1,sk1(X2,X1))
    | ~ environment(X1)
    | ~ greater_or_equal(X2,appear(efficient_producers,X1))
    | cardinality_at_time(efficient_producers,X2) != zero ),
    mp_previous_negative_growth_29 ).

cnf(c_0_29,negated_conjecture,
    greater_or_equal(sk4,appear(efficient_producers,sk3)),
    prove_t6_53 ).

cnf(c_0_30,negated_conjecture,
    cardinality_at_time(efficient_producers,sk4) = zero,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),c_0_27]) ).

cnf(c_0_31,axiom,
    ( greater(zero,growth_rate(efficient_producers,sk1(X2,X1)))
    | ~ environment(X1)
    | ~ greater_or_equal(X2,appear(efficient_producers,X1))
    | cardinality_at_time(efficient_producers,X2) != zero ),
    mp_previous_negative_growth_31 ).

cnf(c_0_32,hypothesis,
    ( X2 = efficient_producers
    | X2 = first_movers
    | ~ environment(X1)
    | ~ subpopulation(X2,X1,X3)
    | ~ greater(cardinality_at_time(X2,X3),zero) ),
    a9_50 ).

cnf(c_0_33,axiom,
    ( decreases(number_of_organizations(X1,X2))
    | greater(cardinality_at_time(sk2(X2,X1),X2),zero)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    mp_non_decreasing_34 ).

cnf(c_0_34,axiom,
    ( decreases(number_of_organizations(X1,X2))
    | subpopulation(sk2(X2,X1),X1,X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    mp_non_decreasing_33 ).

cnf(c_0_35,negated_conjecture,
    in_environment(sk3,sk1(sk4,sk3)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26])]),c_0_30])]) ).

cnf(c_0_36,hypothesis,
    ( greater(zero,growth_rate(X3,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(resilience(X4),resilience(X3))
    | ~ greater(zero,growth_rate(X4,X2)) ),
    a12_48 ).

cnf(c_0_37,negated_conjecture,
    greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_26])]),c_0_30])]) ).

cnf(c_0_38,axiom,
    ( decreases(number_of_organizations(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(zero,growth_rate(sk2(X2,X1),X2)) ),
    mp_non_decreasing_35 ).

cnf(c_0_39,hypothesis,
    ( sk2(X1,X2) = first_movers
    | sk2(X1,X2) = efficient_producers
    | decreases(number_of_organizations(X2,X1))
    | ~ subpopulation(sk2(X1,X2),X3,X1)
    | ~ in_environment(X2,X1)
    | ~ environment(X3)
    | ~ environment(X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    ( subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
    | decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_26])]) ).

cnf(c_0_41,hypothesis,
    ( greater(zero,growth_rate(X1,sk1(sk4,sk3)))
    | ~ in_environment(X2,sk1(sk4,sk3))
    | ~ greater(resilience(efficient_producers),resilience(X1))
    | ~ environment(X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_42,negated_conjecture,
    ( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
    | ~ greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_35]),c_0_26])]) ).

cnf(c_0_43,hypothesis,
    ( sk2(sk1(sk4,sk3),sk3) = efficient_producers
    | sk2(sk1(sk4,sk3),sk3) = first_movers
    | decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_35]),c_0_26])]) ).

cnf(c_0_44,negated_conjecture,
    ( greater(zero,growth_rate(X1,sk1(sk4,sk3)))
    | ~ greater(resilience(efficient_producers),resilience(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_26])]) ).

cnf(c_0_45,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)),
    a2_49 ).

cnf(c_0_46,hypothesis,
    ( ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ decreases(resources(X1,X2))
    | ~ decreases(number_of_organizations(X1,X2)) ),
    a6_46 ).

cnf(c_0_47,negated_conjecture,
    ( sk2(sk1(sk4,sk3),sk3) = first_movers
    | decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_37])]) ).

cnf(c_0_48,hypothesis,
    greater(zero,growth_rate(first_movers,sk1(sk4,sk3))),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,hypothesis,
    ( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
    | ~ decreases(resources(sk3,sk1(sk4,sk3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_35]),c_0_26])]) ).

cnf(c_0_50,negated_conjecture,
    decreases(number_of_organizations(sk3,sk1(sk4,sk3))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_47]),c_0_48])]) ).

cnf(c_0_51,hypothesis,
    ( greater(number_of_organizations(X1,X2),zero)
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
    a1_45 ).

cnf(c_0_52,axiom,
    ( greater_or_equal(X2,appear(an_organisation,X1))
    | greater(appear(an_organisation,X1),X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    mp_environment_inequality_42 ).

cnf(c_0_53,axiom,
    ( subpopulation(efficient_producers,X1,X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    mp_subpopulations_38 ).

cnf(c_0_54,hypothesis,
    ( decreases(resources(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(number_of_organizations(X1,X2),zero)
    | ~ greater(equilibrium(X1),X2) ),
    a3_43 ).

cnf(c_0_55,hypothesis,
    ~ decreases(resources(sk3,sk1(sk4,sk3))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).

cnf(c_0_56,hypothesis,
    ( greater(appear(an_organisation,X1),X2)
    | greater(number_of_organizations(X1,X2),zero)
    | ~ in_environment(X1,X2)
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,axiom,
    ( cardinality_at_time(X3,X2) = zero
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | number_of_organizations(X1,X2) != zero
    | ~ subpopulation(X3,X1,X2) ),
    mp_no_members_36 ).

cnf(c_0_58,negated_conjecture,
    subpopulation(efficient_producers,sk3,sk1(sk4,sk3)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_35]),c_0_26])]) ).

cnf(c_0_59,hypothesis,
    ( ~ greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)
    | ~ greater(equilibrium(sk3),sk1(sk4,sk3)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_35]),c_0_26])]),c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)
    | greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_35]),c_0_26])]) ).

cnf(c_0_61,axiom,
    ( cardinality_at_time(X1,X2) != zero
    | ~ greater(zero,growth_rate(X1,X2)) ),
    mp_empty_not_decreasing_39 ).

cnf(c_0_62,negated_conjecture,
    ( cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = zero
    | number_of_organizations(sk3,sk1(sk4,sk3)) != zero ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_35]),c_0_26])]) ).

cnf(c_0_63,hypothesis,
    ( greater(equilibrium(X1),X2)
    | constant(resources(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(number_of_organizations(X1,X2),zero) ),
    a3_44 ).

cnf(c_0_64,axiom,
    ( number_of_organizations(X1,X2) = zero
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(appear(an_organisation,X1),X2) ),
    mp_start_of_organizations_32 ).

cnf(c_0_65,negated_conjecture,
    ( greater(appear(an_organisation,sk3),sk1(sk4,sk3))
    | ~ greater(equilibrium(sk3),sk1(sk4,sk3)) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    number_of_organizations(sk3,sk1(sk4,sk3)) != zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_37])]) ).

cnf(c_0_67,hypothesis,
    ( constant(resources(sk3,sk1(sk4,sk3)))
    | greater(equilibrium(sk3),sk1(sk4,sk3))
    | ~ greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_35]),c_0_26])]) ).

cnf(c_0_68,negated_conjecture,
    ~ greater(equilibrium(sk3),sk1(sk4,sk3)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_35]),c_0_26])]),c_0_66]) ).

cnf(c_0_69,hypothesis,
    ( constant(number_of_organizations(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ constant(resources(X1,X2)) ),
    a6_47 ).

cnf(c_0_70,negated_conjecture,
    ( constant(resources(sk3,sk1(sk4,sk3)))
    | greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_60]),c_0_68]) ).

cnf(c_0_71,hypothesis,
    ( constant(number_of_organizations(sk3,sk1(sk4,sk3)))
    | ~ constant(resources(sk3,sk1(sk4,sk3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_35]),c_0_26])]) ).

cnf(c_0_72,negated_conjecture,
    constant(resources(sk3,sk1(sk4,sk3))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_70]),c_0_35]),c_0_26])]),c_0_66]) ).

cnf(c_0_73,axiom,
    ( ~ constant(X1)
    | ~ decreases(X1) ),
    mp_constant_not_decrease_41 ).

cnf(c_0_74,hypothesis,
    constant(number_of_organizations(sk3,sk1(sk4,sk3))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]) ).

cnf(c_0_75,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_50])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : MGT037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 06:14:47 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.22/0.58  start to proof: theBenchmark
% 0.22/0.60  % Version  : CSE_E---1.5
% 0.22/0.60  % Problem  : theBenchmark.p
% 0.22/0.60  % Proof found
% 0.22/0.60  % SZS status Theorem for theBenchmark.p
% 0.22/0.60  % SZS output start Proof
% See solution above
% 0.22/0.61  % Total time : 0.012000 s
% 0.22/0.61  % SZS output end Proof
% 0.22/0.61  % Total time : 0.016000 s
%------------------------------------------------------------------------------