TSTP Solution File: MGT004-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT004-1 : 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 : n002.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 09:07:12 EDT 2023

% Result   : Unsatisfiable 0.24s 0.63s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   61 (  19 unt;  15 typ;   0 def)
%            Number of atoms       :  229 (   0 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  338 ( 155   ~; 183   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (   8   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  135 (  18 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,
    survival_chance: ( $i * $i * $i ) > $o ).

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

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

tff(decl_30,type,
    sk3: $i ).

tff(decl_31,type,
    sk6: $i ).

tff(decl_32,type,
    sk7: $i ).

tff(decl_33,type,
    sk8: $i ).

tff(decl_34,type,
    sk9: $i ).

tff(decl_35,type,
    sk4: $i ).

tff(decl_36,type,
    sk5: $i ).

cnf(a6_FOL_5,hypothesis,
    ( greater(X4,X2)
    | greater(X3,X5)
    | greater(X8,X9)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization(X1,X4,X5)
    | ~ reliability(X1,X6,X2)
    | ~ reliability(X1,X7,X3)
    | ~ accountability(X1,X8,X2)
    | ~ accountability(X1,X9,X3)
    | ~ greater(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL_5) ).

cnf(t4_FOL_8,negated_conjecture,
    reorganization(sk3,sk8,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_8) ).

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_3,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_3) ).

cnf(t4_FOL_9,negated_conjecture,
    survival_chance(sk3,sk4,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_9) ).

cnf(t4_FOL_6,negated_conjecture,
    organization(sk3,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_6) ).

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

cnf(a6_FOL_4,hypothesis,
    ( greater(X4,X2)
    | greater(X3,X5)
    | greater(X6,X7)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization(X1,X4,X5)
    | ~ reliability(X1,X6,X2)
    | ~ reliability(X1,X7,X3)
    | ~ accountability(X1,X8,X2)
    | ~ accountability(X1,X9,X3)
    | ~ greater(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL_4) ).

cnf(t4_FOL_11,negated_conjecture,
    ~ greater(sk8,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_11) ).

cnf(t4_FOL_10,negated_conjecture,
    survival_chance(sk3,sk5,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_10) ).

cnf(t4_FOL_12,negated_conjecture,
    greater(sk7,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_12) ).

cnf(t4_FOL_7,negated_conjecture,
    organization(sk3,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_7) ).

cnf(t4_FOL_14,negated_conjecture,
    ~ greater(sk4,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_14) ).

cnf(t4_FOL_13,negated_conjecture,
    ~ greater(sk7,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_13) ).

cnf(c_0_14,hypothesis,
    ( greater(X4,X2)
    | greater(X3,X5)
    | greater(X8,X9)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization(X1,X4,X5)
    | ~ reliability(X1,X6,X2)
    | ~ reliability(X1,X7,X3)
    | ~ accountability(X1,X8,X2)
    | ~ accountability(X1,X9,X3)
    | ~ greater(X3,X2) ),
    a6_FOL_5 ).

cnf(c_0_15,negated_conjecture,
    reorganization(sk3,sk8,sk9),
    t4_FOL_8 ).

cnf(c_0_16,negated_conjecture,
    ( greater(X1,sk9)
    | greater(sk8,X2)
    | greater(X3,X4)
    | ~ greater(X1,X2)
    | ~ accountability(sk3,X4,X1)
    | ~ accountability(sk3,X3,X2)
    | ~ reliability(sk3,X5,X1)
    | ~ reliability(sk3,X6,X2)
    | ~ organization(sk3,X1)
    | ~ organization(sk3,X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,axiom,
    ( accountability(X1,sk2(X2,X1),X2)
    | ~ organization(X1,X2) ),
    mp2_2 ).

cnf(c_0_18,negated_conjecture,
    ( greater(X1,sk2(X2,sk3))
    | greater(sk8,X3)
    | greater(X2,sk9)
    | ~ greater(X2,X3)
    | ~ accountability(sk3,X1,X3)
    | ~ reliability(sk3,X4,X2)
    | ~ reliability(sk3,X5,X3)
    | ~ organization(sk3,X2)
    | ~ organization(sk3,X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,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_3 ).

cnf(c_0_20,negated_conjecture,
    survival_chance(sk3,sk4,sk6),
    t4_FOL_9 ).

cnf(c_0_21,negated_conjecture,
    organization(sk3,sk6),
    t4_FOL_6 ).

cnf(c_0_22,negated_conjecture,
    ( greater(sk2(X1,sk3),sk2(X2,sk3))
    | greater(X2,sk9)
    | greater(sk8,X1)
    | ~ greater(X2,X1)
    | ~ reliability(sk3,X3,X2)
    | ~ reliability(sk3,X4,X1)
    | ~ organization(sk3,X2)
    | ~ organization(sk3,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_23,axiom,
    ( reliability(X1,sk1(X2,X1),X2)
    | ~ organization(X1,X2) ),
    mp1_1 ).

cnf(c_0_24,hypothesis,
    ( greater(X4,X2)
    | greater(X3,X5)
    | greater(X6,X7)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization(X1,X4,X5)
    | ~ reliability(X1,X6,X2)
    | ~ reliability(X1,X7,X3)
    | ~ accountability(X1,X8,X2)
    | ~ accountability(X1,X9,X3)
    | ~ greater(X3,X2) ),
    a6_FOL_4 ).

cnf(c_0_25,negated_conjecture,
    ( greater(sk4,X1)
    | ~ greater(X2,X3)
    | ~ greater(X4,X5)
    | ~ survival_chance(X6,X1,X7)
    | ~ accountability(sk3,X2,sk6)
    | ~ accountability(X6,X3,X7)
    | ~ reliability(sk3,X4,sk6)
    | ~ reliability(X6,X5,X7)
    | ~ organization(X6,X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_26,negated_conjecture,
    ( greater(sk2(X1,sk3),sk2(X2,sk3))
    | greater(sk8,X1)
    | greater(X2,sk9)
    | ~ greater(X2,X1)
    | ~ reliability(sk3,X3,X1)
    | ~ organization(sk3,X2)
    | ~ organization(sk3,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ( greater(X1,sk9)
    | greater(sk8,X2)
    | greater(X3,X4)
    | ~ greater(X1,X2)
    | ~ accountability(sk3,X5,X1)
    | ~ accountability(sk3,X6,X2)
    | ~ reliability(sk3,X4,X1)
    | ~ reliability(sk3,X3,X2)
    | ~ organization(sk3,X1)
    | ~ organization(sk3,X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_15]) ).

cnf(c_0_28,negated_conjecture,
    ( greater(sk4,X1)
    | ~ greater(sk2(sk6,sk3),X2)
    | ~ greater(X3,X4)
    | ~ survival_chance(X5,X1,X6)
    | ~ accountability(X5,X2,X6)
    | ~ reliability(sk3,X3,sk6)
    | ~ reliability(X5,X4,X6)
    | ~ organization(X5,X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_21])]) ).

cnf(c_0_29,negated_conjecture,
    ( greater(sk2(X1,sk3),sk2(X2,sk3))
    | greater(X2,sk9)
    | greater(sk8,X1)
    | ~ greater(X2,X1)
    | ~ organization(sk3,X2)
    | ~ organization(sk3,X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ~ greater(sk8,sk6),
    t4_FOL_11 ).

cnf(c_0_31,negated_conjecture,
    ( greater(sk8,X1)
    | greater(X2,sk9)
    | greater(X3,X4)
    | ~ greater(X2,X1)
    | ~ accountability(sk3,X5,X1)
    | ~ reliability(sk3,X4,X2)
    | ~ reliability(sk3,X3,X1)
    | ~ organization(sk3,X2)
    | ~ organization(sk3,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_17]) ).

cnf(c_0_32,negated_conjecture,
    ( greater(X1,sk9)
    | greater(sk4,X2)
    | ~ greater(X1,sk6)
    | ~ greater(X3,X4)
    | ~ survival_chance(X5,X2,X6)
    | ~ accountability(X5,sk2(X1,sk3),X6)
    | ~ reliability(sk3,X3,sk6)
    | ~ reliability(X5,X4,X6)
    | ~ organization(sk3,X1)
    | ~ organization(X5,X6) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_21])]),c_0_30]) ).

cnf(c_0_33,negated_conjecture,
    ( greater(X1,sk9)
    | greater(sk8,X2)
    | greater(X3,X4)
    | ~ greater(X1,X2)
    | ~ reliability(sk3,X4,X1)
    | ~ reliability(sk3,X3,X2)
    | ~ organization(sk3,X1)
    | ~ organization(sk3,X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_17]) ).

cnf(c_0_34,negated_conjecture,
    ( greater(sk4,X1)
    | greater(X2,sk9)
    | ~ greater(X2,sk6)
    | ~ greater(X3,X4)
    | ~ survival_chance(sk3,X1,X2)
    | ~ reliability(sk3,X3,sk6)
    | ~ reliability(sk3,X4,X2)
    | ~ organization(sk3,X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_17]) ).

cnf(c_0_35,negated_conjecture,
    ( greater(X1,sk1(X2,sk3))
    | greater(sk8,X3)
    | greater(X2,sk9)
    | ~ greater(X2,X3)
    | ~ reliability(sk3,X1,X3)
    | ~ organization(sk3,X2)
    | ~ organization(sk3,X3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_23]) ).

cnf(c_0_36,negated_conjecture,
    ( greater(X1,sk9)
    | greater(sk4,X2)
    | ~ greater(sk1(sk6,sk3),X3)
    | ~ greater(X1,sk6)
    | ~ survival_chance(sk3,X2,X1)
    | ~ reliability(sk3,X3,X1)
    | ~ organization(sk3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_21])]) ).

cnf(c_0_37,negated_conjecture,
    ( greater(sk1(X1,sk3),sk1(X2,sk3))
    | greater(X2,sk9)
    | greater(sk8,X1)
    | ~ greater(X2,X1)
    | ~ organization(sk3,X2)
    | ~ organization(sk3,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_23]) ).

cnf(c_0_38,negated_conjecture,
    ( greater(X1,sk9)
    | greater(sk4,X2)
    | greater(X3,sk9)
    | ~ greater(X3,sk6)
    | ~ greater(X1,sk6)
    | ~ survival_chance(sk3,X2,X3)
    | ~ reliability(sk3,sk1(X1,sk3),X3)
    | ~ organization(sk3,X3)
    | ~ organization(sk3,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_21])]),c_0_30]) ).

cnf(c_0_39,negated_conjecture,
    ( greater(sk4,X1)
    | greater(X2,sk9)
    | ~ greater(X2,sk6)
    | ~ survival_chance(sk3,X1,X2)
    | ~ organization(sk3,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_23]) ).

cnf(c_0_40,negated_conjecture,
    survival_chance(sk3,sk5,sk7),
    t4_FOL_10 ).

cnf(c_0_41,negated_conjecture,
    greater(sk7,sk6),
    t4_FOL_12 ).

cnf(c_0_42,negated_conjecture,
    organization(sk3,sk7),
    t4_FOL_7 ).

cnf(c_0_43,negated_conjecture,
    ~ greater(sk4,sk5),
    t4_FOL_14 ).

cnf(c_0_44,negated_conjecture,
    ~ greater(sk7,sk9),
    t4_FOL_13 ).

cnf(c_0_45,negated_conjecture,
    $false,
    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_39,c_0_40]),c_0_41]),c_0_42])]),c_0_43]),c_0_44]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16  % Problem    : MGT004-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.17  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.16/0.38  % Computer : n002.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Mon Aug 28 06:29:49 EDT 2023
% 0.16/0.38  % CPUTime  : 
% 0.24/0.61  start to proof: theBenchmark
% 0.24/0.63  % Version  : CSE_E---1.5
% 0.24/0.63  % Problem  : theBenchmark.p
% 0.24/0.63  % Proof found
% 0.24/0.63  % SZS status Theorem for theBenchmark.p
% 0.24/0.63  % SZS output start Proof
% See solution above
% 0.24/0.63  % Total time : 0.009000 s
% 0.24/0.63  % SZS output end Proof
% 0.24/0.63  % Total time : 0.012000 s
%------------------------------------------------------------------------------