TSTP Solution File: MGT011-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT011-1 : 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 : n026.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 09:07:16 EDT 2023

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   54 (  18 unt;  13 typ;   0 def)
%            Number of atoms       :  115 (   5 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  153 (  79   ~;  74   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 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  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   74 (   0 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,
    greater: ( $i * $i ) > $o ).

tff(decl_26,type,
    sk2: ( $i * $i ) > $i ).

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

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

tff(decl_29,type,
    size: ( $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,
    sk4: $i ).

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

cnf(mp10_24,axiom,
    ( X4 = X5
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization_free(X1,X2,X3)
    | ~ class(X1,X4,X2)
    | ~ class(X1,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp10_24) ).

cnf(t11_FOL_29,negated_conjecture,
    reorganization_free(sk3,sk6,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_29) ).

cnf(t11_FOL_28,negated_conjecture,
    organization(sk3,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_28) ).

cnf(t11_FOL_27,negated_conjecture,
    organization(sk3,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_27) ).

cnf(mp9_23,axiom,
    ( class(X1,sk2(X2,X1),X2)
    | ~ organization(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp9_23) ).

cnf(a5_FOL_25,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_25) ).

cnf(t11_FOL_30,negated_conjecture,
    size(sk3,sk4,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_30) ).

cnf(t2_FOL_26,hypothesis,
    ( greater(X5,X4)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization_free(X1,X2,X3)
    | ~ inertia(X1,X4,X2)
    | ~ inertia(X1,X5,X3)
    | ~ greater(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_26) ).

cnf(t11_FOL_32,negated_conjecture,
    greater(sk7,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_32) ).

cnf(mp5_20,axiom,
    ( inertia(X1,sk1(X2,X1),X2)
    | ~ organization(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_20) ).

cnf(t11_FOL_31,negated_conjecture,
    size(sk3,sk5,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_31) ).

cnf(t11_FOL_33,negated_conjecture,
    greater(sk4,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_33) ).

cnf(mp6_2_22,axiom,
    ( ~ greater(X1,X2)
    | ~ greater(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_22) ).

cnf(c_0_13,axiom,
    ( X4 = X5
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization_free(X1,X2,X3)
    | ~ class(X1,X4,X2)
    | ~ class(X1,X5,X3) ),
    mp10_24 ).

cnf(c_0_14,negated_conjecture,
    reorganization_free(sk3,sk6,sk7),
    t11_FOL_29 ).

cnf(c_0_15,negated_conjecture,
    organization(sk3,sk7),
    t11_FOL_28 ).

cnf(c_0_16,negated_conjecture,
    organization(sk3,sk6),
    t11_FOL_27 ).

cnf(c_0_17,negated_conjecture,
    ( X1 = X2
    | ~ class(sk3,X2,sk7)
    | ~ class(sk3,X1,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]) ).

cnf(c_0_18,axiom,
    ( class(X1,sk2(X2,X1),X2)
    | ~ organization(X1,X2) ),
    mp9_23 ).

cnf(c_0_19,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_25 ).

cnf(c_0_20,negated_conjecture,
    size(sk3,sk4,sk6),
    t11_FOL_30 ).

cnf(c_0_21,negated_conjecture,
    ( X1 = sk2(sk7,sk3)
    | ~ class(sk3,X1,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_15])]) ).

cnf(c_0_22,negated_conjecture,
    ( greater(X1,X2)
    | ~ size(X3,X4,X5)
    | ~ class(sk3,X6,sk6)
    | ~ class(X3,X6,X5)
    | ~ greater(sk4,X4)
    | ~ inertia(sk3,X1,sk6)
    | ~ inertia(X3,X2,X5)
    | ~ organization(X3,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16])]) ).

cnf(c_0_23,negated_conjecture,
    sk2(sk7,sk3) = sk2(sk6,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_16])]) ).

cnf(c_0_24,hypothesis,
    ( greater(X5,X4)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization_free(X1,X2,X3)
    | ~ inertia(X1,X4,X2)
    | ~ inertia(X1,X5,X3)
    | ~ greater(X3,X2) ),
    t2_FOL_26 ).

cnf(c_0_25,negated_conjecture,
    greater(sk7,sk6),
    t11_FOL_32 ).

cnf(c_0_26,negated_conjecture,
    ( greater(X1,X2)
    | ~ size(X3,X4,X5)
    | ~ class(X3,sk2(sk6,sk3),X5)
    | ~ greater(sk4,X4)
    | ~ inertia(sk3,X1,sk6)
    | ~ inertia(X3,X2,X5)
    | ~ organization(X3,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_18]),c_0_16])]) ).

cnf(c_0_27,negated_conjecture,
    class(sk3,sk2(sk6,sk3),sk7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_23]),c_0_15])]) ).

cnf(c_0_28,negated_conjecture,
    ( greater(X1,X2)
    | ~ inertia(sk3,X1,sk7)
    | ~ inertia(sk3,X2,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_14]),c_0_25]),c_0_15]),c_0_16])]) ).

cnf(c_0_29,axiom,
    ( inertia(X1,sk1(X2,X1),X2)
    | ~ organization(X1,X2) ),
    mp5_20 ).

cnf(c_0_30,negated_conjecture,
    ( greater(X1,X2)
    | ~ size(sk3,X3,sk7)
    | ~ greater(sk4,X3)
    | ~ inertia(sk3,X1,sk6)
    | ~ inertia(sk3,X2,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_15])]) ).

cnf(c_0_31,negated_conjecture,
    size(sk3,sk5,sk7),
    t11_FOL_31 ).

cnf(c_0_32,negated_conjecture,
    greater(sk4,sk5),
    t11_FOL_33 ).

cnf(c_0_33,axiom,
    ( ~ greater(X1,X2)
    | ~ greater(X2,X1) ),
    mp6_2_22 ).

cnf(c_0_34,negated_conjecture,
    ( greater(sk1(sk7,sk3),X1)
    | ~ inertia(sk3,X1,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_15])]) ).

cnf(c_0_35,negated_conjecture,
    ( greater(X1,X2)
    | ~ inertia(sk3,X1,sk6)
    | ~ inertia(sk3,X2,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ greater(X1,sk1(sk7,sk3))
    | ~ inertia(sk3,X1,sk6) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ( greater(sk1(sk6,sk3),X1)
    | ~ inertia(sk3,X1,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_29]),c_0_16])]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ inertia(sk3,sk1(sk6,sk3),sk6)
    | ~ inertia(sk3,sk1(sk7,sk3),sk7) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_39,negated_conjecture,
    ~ inertia(sk3,sk1(sk6,sk3),sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_29]),c_0_15])]) ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_29]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT011-1 : 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 : n026.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 06:41:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 0.20/0.59  % Version  : CSE_E---1.5
% 0.20/0.59  % Problem  : theBenchmark.p
% 0.20/0.59  % Proof found
% 0.20/0.59  % SZS status Theorem for theBenchmark.p
% 0.20/0.59  % SZS output start Proof
% See solution above
% 0.20/0.59  % Total time : 0.005000 s
% 0.20/0.59  % SZS output end Proof
% 0.20/0.59  % Total time : 0.008000 s
%------------------------------------------------------------------------------