TSTP Solution File: MGT001-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT001-1 : 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 : n015.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 09:07:10 EDT 2023

% Result   : Unsatisfiable 0.19s 0.60s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   77 (  22 unt;  19 typ;   0 def)
%            Number of atoms       :  242 (   0 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  375 ( 191   ~; 184   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  11   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  191 (  35 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    sk1: ( $i * $i ) > $i ).

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

tff(decl_25,type,
    sk2: ( $i * $i ) > $i ).

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

tff(decl_27,type,
    sk3: ( $i * $i ) > $i ).

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

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

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

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

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

tff(decl_33,type,
    sk4: $i ).

tff(decl_34,type,
    sk6: $i ).

tff(decl_35,type,
    sk5: $i ).

tff(decl_36,type,
    sk7: $i ).

tff(decl_37,type,
    sk8: $i ).

tff(decl_38,type,
    sk9: $i ).

tff(decl_39,type,
    sk10: $i ).

tff(decl_40,type,
    sk11: $i ).

cnf(a3_FOL_9,hypothesis,
    ( greater(X6,X5)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reorganization_free(X1,X2,X2)
    | ~ reorganization_free(X3,X4,X4)
    | ~ reproducibility(X1,X5,X2)
    | ~ reproducibility(X3,X6,X4)
    | ~ inertia(X1,X7,X2)
    | ~ inertia(X3,X8,X4)
    | ~ greater(X8,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL_9) ).

cnf(t1_FOL_15,negated_conjecture,
    inertia(sk5,sk9,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_15) ).

cnf(t1_FOL_13,negated_conjecture,
    reorganization_free(sk5,sk7,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_13) ).

cnf(t1_FOL_11,negated_conjecture,
    organization(sk5,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_11) ).

cnf(mp3_3,axiom,
    ( reproducibility(X1,sk3(X2,X1),X2)
    | ~ organization(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_3) ).

cnf(a2_FOL_6,hypothesis,
    ( greater(X8,X7)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reliability(X1,X5,X2)
    | ~ reliability(X3,X6,X4)
    | ~ accountability(X1,X7,X2)
    | ~ accountability(X3,X8,X4)
    | ~ reproducibility(X1,X9,X2)
    | ~ reproducibility(X3,X10,X4)
    | ~ greater(X10,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL_6) ).

cnf(t1_FOL_14,negated_conjecture,
    inertia(sk4,sk8,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_14) ).

cnf(t1_FOL_12,negated_conjecture,
    reorganization_free(sk4,sk6,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_12) ).

cnf(t1_FOL_18,negated_conjecture,
    greater(sk9,sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_18) ).

cnf(t1_FOL_10,negated_conjecture,
    organization(sk4,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_10) ).

cnf(mp2_2,axiom,
    ( accountability(X1,sk2(X2,X1),X2)
    | ~ organization(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_2) ).

cnf(a1_FOL_4,hypothesis,
    ( greater(X10,X9)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reliability(X1,X5,X2)
    | ~ reliability(X3,X6,X4)
    | ~ accountability(X1,X7,X2)
    | ~ accountability(X3,X8,X4)
    | ~ survival_chance(X1,X9,X2)
    | ~ survival_chance(X3,X10,X4)
    | ~ greater(X6,X5)
    | ~ greater(X8,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_FOL_4) ).

cnf(t1_FOL_17,negated_conjecture,
    survival_chance(sk5,sk11,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_17) ).

cnf(mp1_1,axiom,
    ( reliability(X1,sk1(X2,X1),X2)
    | ~ organization(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_1) ).

cnf(a2_FOL_5,hypothesis,
    ( greater(X6,X5)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reliability(X1,X5,X2)
    | ~ reliability(X3,X6,X4)
    | ~ accountability(X1,X7,X2)
    | ~ accountability(X3,X8,X4)
    | ~ reproducibility(X1,X9,X2)
    | ~ reproducibility(X3,X10,X4)
    | ~ greater(X10,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL_5) ).

cnf(t1_FOL_16,negated_conjecture,
    survival_chance(sk4,sk10,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_16) ).

cnf(t1_FOL_19,negated_conjecture,
    ~ greater(sk11,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_19) ).

cnf(c_0_17,hypothesis,
    ( greater(X6,X5)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reorganization_free(X1,X2,X2)
    | ~ reorganization_free(X3,X4,X4)
    | ~ reproducibility(X1,X5,X2)
    | ~ reproducibility(X3,X6,X4)
    | ~ inertia(X1,X7,X2)
    | ~ inertia(X3,X8,X4)
    | ~ greater(X8,X7) ),
    a3_FOL_9 ).

cnf(c_0_18,negated_conjecture,
    inertia(sk5,sk9,sk7),
    t1_FOL_15 ).

cnf(c_0_19,negated_conjecture,
    reorganization_free(sk5,sk7,sk7),
    t1_FOL_13 ).

cnf(c_0_20,negated_conjecture,
    organization(sk5,sk7),
    t1_FOL_11 ).

cnf(c_0_21,negated_conjecture,
    ( greater(X1,X2)
    | ~ inertia(X3,X4,X5)
    | ~ reorganization_free(X3,X5,X5)
    | ~ greater(sk9,X4)
    | ~ reproducibility(sk5,X1,sk7)
    | ~ reproducibility(X3,X2,X5)
    | ~ organization(X3,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_22,axiom,
    ( reproducibility(X1,sk3(X2,X1),X2)
    | ~ organization(X1,X2) ),
    mp3_3 ).

cnf(c_0_23,hypothesis,
    ( greater(X8,X7)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reliability(X1,X5,X2)
    | ~ reliability(X3,X6,X4)
    | ~ accountability(X1,X7,X2)
    | ~ accountability(X3,X8,X4)
    | ~ reproducibility(X1,X9,X2)
    | ~ reproducibility(X3,X10,X4)
    | ~ greater(X10,X9) ),
    a2_FOL_6 ).

cnf(c_0_24,negated_conjecture,
    ( greater(sk3(sk7,sk5),X1)
    | ~ inertia(X2,X3,X4)
    | ~ reorganization_free(X2,X4,X4)
    | ~ greater(sk9,X3)
    | ~ reproducibility(X2,X1,X4)
    | ~ organization(X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20])]) ).

cnf(c_0_25,negated_conjecture,
    inertia(sk4,sk8,sk6),
    t1_FOL_14 ).

cnf(c_0_26,negated_conjecture,
    reorganization_free(sk4,sk6,sk6),
    t1_FOL_12 ).

cnf(c_0_27,negated_conjecture,
    greater(sk9,sk8),
    t1_FOL_18 ).

cnf(c_0_28,negated_conjecture,
    organization(sk4,sk6),
    t1_FOL_10 ).

cnf(c_0_29,hypothesis,
    ( greater(X1,X2)
    | ~ greater(sk3(X3,X4),X5)
    | ~ reproducibility(X6,X5,X7)
    | ~ accountability(X4,X1,X3)
    | ~ accountability(X6,X2,X7)
    | ~ reliability(X4,X8,X3)
    | ~ reliability(X6,X9,X7)
    | ~ organization(X4,X3)
    | ~ organization(X6,X7) ),
    inference(spm,[status(thm)],[c_0_23,c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    ( greater(sk3(sk7,sk5),X1)
    | ~ reproducibility(sk4,X1,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28])]) ).

cnf(c_0_31,negated_conjecture,
    ( greater(X1,X2)
    | ~ reproducibility(sk4,X3,sk6)
    | ~ reproducibility(X4,X3,X5)
    | ~ accountability(sk5,X1,sk7)
    | ~ accountability(X4,X2,X5)
    | ~ reliability(sk5,X6,sk7)
    | ~ reliability(X4,X7,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_20])]) ).

cnf(c_0_32,negated_conjecture,
    ( greater(X1,X2)
    | ~ reproducibility(X3,sk3(sk6,sk4),X4)
    | ~ accountability(sk5,X1,sk7)
    | ~ accountability(X3,X2,X4)
    | ~ reliability(sk5,X5,sk7)
    | ~ reliability(X3,X6,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_22]),c_0_28])]) ).

cnf(c_0_33,negated_conjecture,
    ( greater(X1,X2)
    | ~ accountability(sk5,X1,sk7)
    | ~ accountability(sk4,X2,sk6)
    | ~ reliability(sk5,X3,sk7)
    | ~ reliability(sk4,X4,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_22]),c_0_28])]) ).

cnf(c_0_34,axiom,
    ( accountability(X1,sk2(X2,X1),X2)
    | ~ organization(X1,X2) ),
    mp2_2 ).

cnf(c_0_35,hypothesis,
    ( greater(X10,X9)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reliability(X1,X5,X2)
    | ~ reliability(X3,X6,X4)
    | ~ accountability(X1,X7,X2)
    | ~ accountability(X3,X8,X4)
    | ~ survival_chance(X1,X9,X2)
    | ~ survival_chance(X3,X10,X4)
    | ~ greater(X6,X5)
    | ~ greater(X8,X7) ),
    a1_FOL_4 ).

cnf(c_0_36,negated_conjecture,
    survival_chance(sk5,sk11,sk7),
    t1_FOL_17 ).

cnf(c_0_37,negated_conjecture,
    ( greater(sk2(sk7,sk5),X1)
    | ~ accountability(sk4,X1,sk6)
    | ~ reliability(sk5,X2,sk7)
    | ~ reliability(sk4,X3,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_20])]) ).

cnf(c_0_38,axiom,
    ( reliability(X1,sk1(X2,X1),X2)
    | ~ organization(X1,X2) ),
    mp1_1 ).

cnf(c_0_39,negated_conjecture,
    ( greater(sk11,X1)
    | ~ greater(X2,X3)
    | ~ greater(X4,X5)
    | ~ survival_chance(X6,X1,X7)
    | ~ accountability(sk5,X2,sk7)
    | ~ accountability(X6,X3,X7)
    | ~ reliability(sk5,X4,sk7)
    | ~ reliability(X6,X5,X7)
    | ~ organization(X6,X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_20])]) ).

cnf(c_0_40,negated_conjecture,
    ( greater(sk2(sk7,sk5),X1)
    | ~ accountability(sk4,X1,sk6)
    | ~ reliability(sk4,X2,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_20])]) ).

cnf(c_0_41,negated_conjecture,
    ( greater(sk11,X1)
    | ~ greater(sk2(sk7,sk5),X2)
    | ~ greater(X3,X4)
    | ~ survival_chance(X5,X1,X6)
    | ~ accountability(X5,X2,X6)
    | ~ reliability(sk5,X3,sk7)
    | ~ reliability(X5,X4,X6)
    | ~ organization(X5,X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_34]),c_0_20])]) ).

cnf(c_0_42,negated_conjecture,
    ( greater(sk2(sk7,sk5),X1)
    | ~ accountability(sk4,X1,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_28])]) ).

cnf(c_0_43,hypothesis,
    ( greater(X6,X5)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reliability(X1,X5,X2)
    | ~ reliability(X3,X6,X4)
    | ~ accountability(X1,X7,X2)
    | ~ accountability(X3,X8,X4)
    | ~ reproducibility(X1,X9,X2)
    | ~ reproducibility(X3,X10,X4)
    | ~ greater(X10,X9) ),
    a2_FOL_5 ).

cnf(c_0_44,negated_conjecture,
    ( greater(sk11,X1)
    | ~ greater(X2,X3)
    | ~ survival_chance(X4,X1,X5)
    | ~ accountability(sk4,X6,sk6)
    | ~ accountability(X4,X6,X5)
    | ~ reliability(sk5,X2,sk7)
    | ~ reliability(X4,X3,X5)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,hypothesis,
    ( greater(X1,X2)
    | ~ greater(sk3(X3,X4),X5)
    | ~ reproducibility(X6,X5,X7)
    | ~ accountability(X4,X8,X3)
    | ~ accountability(X6,X9,X7)
    | ~ reliability(X4,X1,X3)
    | ~ reliability(X6,X2,X7)
    | ~ organization(X4,X3)
    | ~ organization(X6,X7) ),
    inference(spm,[status(thm)],[c_0_43,c_0_22]) ).

cnf(c_0_46,negated_conjecture,
    ( greater(sk11,X1)
    | ~ greater(X2,X3)
    | ~ survival_chance(X4,X1,X5)
    | ~ accountability(X4,sk2(sk6,sk4),X5)
    | ~ reliability(sk5,X2,sk7)
    | ~ reliability(X4,X3,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_34]),c_0_28])]) ).

cnf(c_0_47,negated_conjecture,
    ( greater(X1,X2)
    | ~ reproducibility(sk4,X3,sk6)
    | ~ reproducibility(X4,X3,X5)
    | ~ accountability(sk5,X6,sk7)
    | ~ accountability(X4,X7,X5)
    | ~ reliability(sk5,X1,sk7)
    | ~ reliability(X4,X2,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_30]),c_0_20])]) ).

cnf(c_0_48,negated_conjecture,
    ( greater(sk11,X1)
    | ~ greater(X2,X3)
    | ~ survival_chance(sk4,X1,sk6)
    | ~ reliability(sk5,X2,sk7)
    | ~ reliability(sk4,X3,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_34]),c_0_28])]) ).

cnf(c_0_49,negated_conjecture,
    survival_chance(sk4,sk10,sk6),
    t1_FOL_16 ).

cnf(c_0_50,negated_conjecture,
    ~ greater(sk11,sk10),
    t1_FOL_19 ).

cnf(c_0_51,negated_conjecture,
    ( greater(X1,X2)
    | ~ reproducibility(X3,sk3(sk6,sk4),X4)
    | ~ accountability(sk5,X5,sk7)
    | ~ accountability(X3,X6,X4)
    | ~ reliability(sk5,X1,sk7)
    | ~ reliability(X3,X2,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_22]),c_0_28])]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ greater(X1,X2)
    | ~ reliability(sk5,X1,sk7)
    | ~ reliability(sk4,X2,sk6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ accountability(sk5,X1,sk7)
    | ~ accountability(sk4,X2,sk6)
    | ~ reliability(sk5,X3,sk7)
    | ~ reliability(sk4,X4,sk6) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_22]),c_0_28])]),c_0_52]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ accountability(sk4,X1,sk6)
    | ~ reliability(sk5,X2,sk7)
    | ~ reliability(sk4,X3,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_34]),c_0_20])]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ reliability(sk5,X1,sk7)
    | ~ reliability(sk4,X2,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_34]),c_0_28])]) ).

cnf(c_0_56,negated_conjecture,
    ~ reliability(sk4,X1,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_38]),c_0_20])]) ).

cnf(c_0_57,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_38]),c_0_28])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT001-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n015.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 06:29:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.58  start to proof: theBenchmark
% 0.19/0.60  % Version  : CSE_E---1.5
% 0.19/0.60  % Problem  : theBenchmark.p
% 0.19/0.60  % Proof found
% 0.19/0.60  % SZS status Theorem for theBenchmark.p
% 0.19/0.60  % SZS output start Proof
% See solution above
% 0.19/0.60  % Total time : 0.012000 s
% 0.19/0.60  % SZS output end Proof
% 0.19/0.60  % Total time : 0.015000 s
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