TSTP Solution File: MGT018-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT018-1 : 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 09:07:20 EDT 2023

% Result   : Unsatisfiable 0.21s 0.60s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   60 (  28 unt;  17 typ;   0 def)
%            Number of atoms       :  136 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  189 (  96   ~;  93   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (   8   >;  13   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :   77 (   1 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,
    inertia: ( $i * $i * $i ) > $o ).

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

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

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

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

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

tff(decl_30,type,
    sk2: $i ).

tff(decl_31,type,
    sk8: $i ).

tff(decl_32,type,
    sk3: $i ).

tff(decl_33,type,
    sk10: $i ).

tff(decl_34,type,
    sk5: $i ).

tff(decl_35,type,
    sk9: $i ).

tff(decl_36,type,
    sk4: $i ).

tff(decl_37,type,
    sk6: $i ).

tff(decl_38,type,
    sk7: $i ).

cnf(a14_FOL_3,hypothesis,
    ( organization(X3,X4)
    | greater(X6,X4)
    | ~ organization(X1,X2)
    | ~ organization(X3,X2)
    | ~ class(X1,X5,X2)
    | ~ class(X3,X5,X2)
    | ~ reorganization(X1,X2,X6)
    | ~ reorganization(X3,X2,X4)
    | ~ reorganization_type(X1,X7,X2)
    | ~ reorganization_type(X3,X7,X2)
    | ~ inertia(X1,X8,X2)
    | ~ inertia(X3,X9,X2)
    | ~ greater(X9,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a14_FOL_3) ).

cnf(t18_FOL_12,negated_conjecture,
    reorganization_type(sk3,sk4,sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_12) ).

cnf(t18_FOL_5,negated_conjecture,
    organization(sk3,sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_5) ).

cnf(t18_FOL_11,negated_conjecture,
    reorganization_type(sk2,sk4,sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_11) ).

cnf(t18_FOL_4,negated_conjecture,
    organization(sk2,sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_4) ).

cnf(a5_FOL_2,hypothesis,
    ( greater(X9,X8)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ class(X1,X5,X2)
    | ~ class(X3,X5,X4)
    | ~ size(X1,X6,X2)
    | ~ size(X3,X7,X4)
    | ~ inertia(X1,X8,X2)
    | ~ inertia(X3,X9,X4)
    | ~ greater(X7,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL_2) ).

cnf(t18_FOL_14,negated_conjecture,
    size(sk3,sk7,sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_14) ).

cnf(t18_FOL_10,negated_conjecture,
    reorganization(sk3,sk8,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_10) ).

cnf(t18_FOL_6,negated_conjecture,
    ~ organization(sk3,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_6) ).

cnf(t18_FOL_8,negated_conjecture,
    class(sk3,sk5,sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_8) ).

cnf(t18_FOL_9,negated_conjecture,
    reorganization(sk2,sk8,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_9) ).

cnf(t18_FOL_16,negated_conjecture,
    ~ greater(sk9,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_16) ).

cnf(mp5_1,axiom,
    ( inertia(X1,sk1(X2,X1),X2)
    | ~ organization(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_1) ).

cnf(t18_FOL_7,negated_conjecture,
    class(sk2,sk5,sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_7) ).

cnf(t18_FOL_13,negated_conjecture,
    size(sk2,sk6,sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_13) ).

cnf(t18_FOL_15,negated_conjecture,
    greater(sk7,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL_15) ).

cnf(c_0_16,hypothesis,
    ( organization(X3,X4)
    | greater(X6,X4)
    | ~ organization(X1,X2)
    | ~ organization(X3,X2)
    | ~ class(X1,X5,X2)
    | ~ class(X3,X5,X2)
    | ~ reorganization(X1,X2,X6)
    | ~ reorganization(X3,X2,X4)
    | ~ reorganization_type(X1,X7,X2)
    | ~ reorganization_type(X3,X7,X2)
    | ~ inertia(X1,X8,X2)
    | ~ inertia(X3,X9,X2)
    | ~ greater(X9,X8) ),
    a14_FOL_3 ).

cnf(c_0_17,negated_conjecture,
    reorganization_type(sk3,sk4,sk8),
    t18_FOL_12 ).

cnf(c_0_18,negated_conjecture,
    organization(sk3,sk8),
    t18_FOL_5 ).

cnf(c_0_19,negated_conjecture,
    ( greater(X1,X2)
    | organization(sk3,X2)
    | ~ reorganization_type(X3,sk4,sk8)
    | ~ reorganization(sk3,sk8,X2)
    | ~ reorganization(X3,sk8,X1)
    | ~ greater(X4,X5)
    | ~ class(sk3,X6,sk8)
    | ~ class(X3,X6,sk8)
    | ~ inertia(sk3,X4,sk8)
    | ~ inertia(X3,X5,sk8)
    | ~ organization(X3,sk8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_20,negated_conjecture,
    reorganization_type(sk2,sk4,sk8),
    t18_FOL_11 ).

cnf(c_0_21,negated_conjecture,
    organization(sk2,sk8),
    t18_FOL_4 ).

cnf(c_0_22,hypothesis,
    ( greater(X9,X8)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ class(X1,X5,X2)
    | ~ class(X3,X5,X4)
    | ~ size(X1,X6,X2)
    | ~ size(X3,X7,X4)
    | ~ inertia(X1,X8,X2)
    | ~ inertia(X3,X9,X4)
    | ~ greater(X7,X6) ),
    a5_FOL_2 ).

cnf(c_0_23,negated_conjecture,
    size(sk3,sk7,sk8),
    t18_FOL_14 ).

cnf(c_0_24,negated_conjecture,
    ( greater(X1,X2)
    | organization(sk3,X2)
    | ~ reorganization(sk3,sk8,X2)
    | ~ reorganization(sk2,sk8,X1)
    | ~ greater(X3,X4)
    | ~ class(sk3,X5,sk8)
    | ~ class(sk2,X5,sk8)
    | ~ inertia(sk3,X3,sk8)
    | ~ inertia(sk2,X4,sk8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_25,negated_conjecture,
    reorganization(sk3,sk8,sk10),
    t18_FOL_10 ).

cnf(c_0_26,negated_conjecture,
    ~ organization(sk3,sk10),
    t18_FOL_6 ).

cnf(c_0_27,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(sk7,X3)
    | ~ size(X4,X3,X5)
    | ~ class(sk3,X6,sk8)
    | ~ class(X4,X6,X5)
    | ~ inertia(sk3,X1,sk8)
    | ~ inertia(X4,X2,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18])]) ).

cnf(c_0_28,negated_conjecture,
    class(sk3,sk5,sk8),
    t18_FOL_8 ).

cnf(c_0_29,negated_conjecture,
    ( greater(X1,sk10)
    | ~ reorganization(sk2,sk8,X1)
    | ~ greater(X2,X3)
    | ~ class(sk3,X4,sk8)
    | ~ class(sk2,X4,sk8)
    | ~ inertia(sk3,X2,sk8)
    | ~ inertia(sk2,X3,sk8) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    reorganization(sk2,sk8,sk9),
    t18_FOL_9 ).

cnf(c_0_31,negated_conjecture,
    ~ greater(sk9,sk10),
    t18_FOL_16 ).

cnf(c_0_32,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(sk7,X3)
    | ~ size(X4,X3,X5)
    | ~ class(X4,sk5,X5)
    | ~ inertia(sk3,X1,sk8)
    | ~ inertia(X4,X2,X5)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,axiom,
    ( inertia(X1,sk1(X2,X1),X2)
    | ~ organization(X1,X2) ),
    mp5_1 ).

cnf(c_0_34,negated_conjecture,
    ( ~ greater(X1,X2)
    | ~ class(sk3,X3,sk8)
    | ~ class(sk2,X3,sk8)
    | ~ inertia(sk3,X1,sk8)
    | ~ inertia(sk2,X2,sk8) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    class(sk2,sk5,sk8),
    t18_FOL_7 ).

cnf(c_0_36,negated_conjecture,
    ( greater(sk1(sk8,sk3),X1)
    | ~ greater(sk7,X2)
    | ~ size(X3,X2,X4)
    | ~ class(X3,sk5,X4)
    | ~ inertia(X3,X1,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_18])]) ).

cnf(c_0_37,negated_conjecture,
    size(sk2,sk6,sk8),
    t18_FOL_13 ).

cnf(c_0_38,negated_conjecture,
    greater(sk7,sk6),
    t18_FOL_15 ).

cnf(c_0_39,negated_conjecture,
    ( ~ greater(X1,X2)
    | ~ inertia(sk3,X1,sk8)
    | ~ inertia(sk2,X2,sk8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_28])]) ).

cnf(c_0_40,negated_conjecture,
    ( greater(sk1(sk8,sk3),X1)
    | ~ inertia(sk2,X1,sk8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_35]),c_0_21])]) ).

cnf(c_0_41,negated_conjecture,
    ~ inertia(sk2,X1,sk8),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_18])]),c_0_40]) ).

cnf(c_0_42,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_33]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : MGT018-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n002.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 06:25:49 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.58  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
% 0.21/0.61  % Total time : 0.009000 s
% 0.21/0.61  % SZS output end Proof
% 0.21/0.61  % Total time : 0.012000 s
%------------------------------------------------------------------------------