TSTP Solution File: MGT065-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT065-1 : 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 : n020.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 09:08:47 EDT 2023

% Result   : Unsatisfiable 0.21s 0.60s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   51
% Syntax   : Number of formulae    :   96 (  38 unt;  28 typ;   0 def)
%            Number of atoms       :  129 (  21 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  118 (  57   ~;  61   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  15   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  13 con; 0-2 aty)
%            Number of variables   :   55 (   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,
    has_endowment: $i > $o ).

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

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

tff(decl_29,type,
    eta: $i ).

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

tff(decl_31,type,
    sk1: $i > $i ).

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

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

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

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

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

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

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

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

tff(decl_40,type,
    mod1: $i ).

tff(decl_41,type,
    mod2: $i ).

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

tff(decl_43,type,
    sk2: $i ).

tff(decl_44,type,
    robust_position: $i > $o ).

tff(decl_45,type,
    fragile_position: $i > $o ).

tff(decl_46,type,
    sk3: $i ).

tff(decl_47,type,
    tau: $i ).

tff(decl_48,type,
    sk4: $i ).

tff(decl_49,type,
    sk5: $i ).

cnf(definition_smaller_8,axiom,
    ( smaller(X2,X1)
    | ~ greater(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).

cnf(theorem_11_73,negated_conjecture,
    greater(eta,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_73) ).

cnf(definition_smaller_or_equal_2,axiom,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).

cnf(definition_1_41,axiom,
    ( has_immunity(X1,X2)
    | ~ has_endowment(X1)
    | ~ smaller_or_equal(age(X1,X2),eta) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_41) ).

cnf(theorem_11_70,negated_conjecture,
    age(sk2,sk3) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_70) ).

cnf(theorem_11_69,negated_conjecture,
    has_endowment(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_69) ).

cnf(assumption_17_57,axiom,
    ( hazard_of_mortality(X1,X2) = very_low
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_57) ).

cnf(theorem_11_67,negated_conjecture,
    organization(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_67) ).

cnf(theorem_11_76,negated_conjecture,
    smaller_or_equal(age(sk2,sk4),eta),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_76) ).

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_18e_66,axiom,
    greater(mod2,low),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e_66) ).

cnf(theorem_11_80,negated_conjecture,
    ( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
    | hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_80) ).

cnf(assumption_18c_64,axiom,
    greater(low,very_low),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c_64) ).

cnf(assumption_18d_65,axiom,
    greater(high,mod2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d_65) ).

cnf(assumption_15_55,axiom,
    ( dissimilar(X1,X2,X3)
    | ~ organization(X1)
    | age(X1,X2) != zero
    | ~ greater(age(X1,X3),sigma) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_55) ).

cnf(assumption_17_59,axiom,
    ( has_immunity(X1,X2)
    | is_aligned(X1,X2)
    | hazard_of_mortality(X1,X2) = mod1
    | ~ organization(X1)
    | ~ positional_advantage(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_59) ).

cnf(assumption_17_61,axiom,
    ( has_immunity(X1,X2)
    | is_aligned(X1,X2)
    | positional_advantage(X1,X2)
    | hazard_of_mortality(X1,X2) = high
    | ~ organization(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_61) ).

cnf(definition_1_42,axiom,
    ( ~ has_endowment(X1)
    | ~ greater(age(X1,X2),eta)
    | ~ has_immunity(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_42) ).

cnf(theorem_11_79,negated_conjecture,
    greater(age(sk2,sk5),eta),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_79) ).

cnf(theorem_11_77,negated_conjecture,
    greater(age(sk2,sk5),sigma),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_77) ).

cnf(assumption_13_54,axiom,
    ( is_aligned(X1,X2)
    | ~ organization(X1)
    | age(X1,X2) != zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_54) ).

cnf(definition_2_49,axiom,
    ( ~ dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X2)
    | ~ is_aligned(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_49) ).

cnf(assumption_18b_63,axiom,
    greater(mod1,low),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b_63) ).

cnf(c_0_23,axiom,
    ( smaller(X2,X1)
    | ~ greater(X1,X2) ),
    definition_smaller_8 ).

cnf(c_0_24,negated_conjecture,
    greater(eta,zero),
    theorem_11_73 ).

cnf(c_0_25,axiom,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    definition_smaller_or_equal_2 ).

cnf(c_0_26,negated_conjecture,
    smaller(zero,eta),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,axiom,
    ( has_immunity(X1,X2)
    | ~ has_endowment(X1)
    | ~ smaller_or_equal(age(X1,X2),eta) ),
    definition_1_41 ).

cnf(c_0_28,negated_conjecture,
    age(sk2,sk3) = zero,
    theorem_11_70 ).

cnf(c_0_29,negated_conjecture,
    has_endowment(sk2),
    theorem_11_69 ).

cnf(c_0_30,negated_conjecture,
    smaller_or_equal(zero,eta),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,axiom,
    ( hazard_of_mortality(X1,X2) = very_low
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    assumption_17_57 ).

cnf(c_0_32,negated_conjecture,
    has_immunity(sk2,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]) ).

cnf(c_0_33,negated_conjecture,
    organization(sk2),
    theorem_11_67 ).

cnf(c_0_34,negated_conjecture,
    smaller_or_equal(age(sk2,sk4),eta),
    theorem_11_76 ).

cnf(c_0_35,axiom,
    ( greater(X1,X3)
    | ~ greater(X1,X2)
    | ~ greater(X2,X3) ),
    meaning_postulate_greater_transitive_10 ).

cnf(c_0_36,axiom,
    greater(mod2,low),
    assumption_18e_66 ).

cnf(c_0_37,negated_conjecture,
    ( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
    | hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
    theorem_11_80 ).

cnf(c_0_38,negated_conjecture,
    hazard_of_mortality(sk2,sk3) = very_low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).

cnf(c_0_39,negated_conjecture,
    has_immunity(sk2,sk4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_34]),c_0_29])]) ).

cnf(c_0_40,axiom,
    greater(low,very_low),
    assumption_18c_64 ).

cnf(c_0_41,plain,
    ( greater(X1,low)
    | ~ greater(X1,mod2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,axiom,
    greater(high,mod2),
    assumption_18d_65 ).

cnf(c_0_43,axiom,
    ( dissimilar(X1,X2,X3)
    | ~ organization(X1)
    | age(X1,X2) != zero
    | ~ greater(age(X1,X3),sigma) ),
    assumption_15_55 ).

cnf(c_0_44,negated_conjecture,
    ( hazard_of_mortality(sk2,sk4) != very_low
    | ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
    inference(rw,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,negated_conjecture,
    hazard_of_mortality(sk2,sk4) = very_low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_39]),c_0_33])]) ).

cnf(c_0_46,axiom,
    ( has_immunity(X1,X2)
    | is_aligned(X1,X2)
    | hazard_of_mortality(X1,X2) = mod1
    | ~ organization(X1)
    | ~ positional_advantage(X1,X2) ),
    assumption_17_59 ).

cnf(c_0_47,axiom,
    ( has_immunity(X1,X2)
    | is_aligned(X1,X2)
    | positional_advantage(X1,X2)
    | hazard_of_mortality(X1,X2) = high
    | ~ organization(X1) ),
    assumption_17_61 ).

cnf(c_0_48,plain,
    ( greater(X1,very_low)
    | ~ greater(X1,low) ),
    inference(spm,[status(thm)],[c_0_35,c_0_40]) ).

cnf(c_0_49,plain,
    greater(high,low),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_50,axiom,
    ( ~ has_endowment(X1)
    | ~ greater(age(X1,X2),eta)
    | ~ has_immunity(X1,X2) ),
    definition_1_42 ).

cnf(c_0_51,negated_conjecture,
    greater(age(sk2,sk5),eta),
    theorem_11_79 ).

cnf(c_0_52,negated_conjecture,
    ( dissimilar(sk2,sk3,X1)
    | ~ greater(age(sk2,X1),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_28]),c_0_33])]) ).

cnf(c_0_53,negated_conjecture,
    greater(age(sk2,sk5),sigma),
    theorem_11_77 ).

cnf(c_0_54,axiom,
    ( is_aligned(X1,X2)
    | ~ organization(X1)
    | age(X1,X2) != zero ),
    assumption_13_54 ).

cnf(c_0_55,negated_conjecture,
    ~ greater(hazard_of_mortality(sk2,sk5),very_low),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_45])]) ).

cnf(c_0_56,plain,
    ( hazard_of_mortality(X1,X2) = high
    | hazard_of_mortality(X1,X2) = mod1
    | is_aligned(X1,X2)
    | has_immunity(X1,X2)
    | ~ organization(X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_57,plain,
    greater(high,very_low),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_58,negated_conjecture,
    ~ has_immunity(sk2,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_29])]) ).

cnf(c_0_59,axiom,
    ( ~ dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X2)
    | ~ is_aligned(X1,X3) ),
    definition_2_49 ).

cnf(c_0_60,negated_conjecture,
    dissimilar(sk2,sk3,sk5),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    is_aligned(sk2,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_28]),c_0_33])]) ).

cnf(c_0_62,negated_conjecture,
    ( hazard_of_mortality(sk2,sk5) = mod1
    | is_aligned(sk2,sk5) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_33])]),c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ~ is_aligned(sk2,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).

cnf(c_0_64,axiom,
    greater(mod1,low),
    assumption_18b_63 ).

cnf(c_0_65,negated_conjecture,
    hazard_of_mortality(sk2,sk5) = mod1,
    inference(sr,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,plain,
    greater(mod1,very_low),
    inference(spm,[status(thm)],[c_0_48,c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_65]),c_0_66])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : MGT065-1 : 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
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 06:11:44 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 0.21/0.60  % Version  : CSE_E---1.5
% 0.21/0.60  % Problem  : theBenchmark.p
% 0.21/0.60  % Proof found
% 0.21/0.60  % SZS status Theorem for theBenchmark.p
% 0.21/0.60  % SZS output start Proof
% See solution above
% 0.21/0.60  % Total time : 0.017000 s
% 0.21/0.60  % SZS output end Proof
% 0.21/0.60  % Total time : 0.021000 s
%------------------------------------------------------------------------------