TSTP Solution File: MGT009+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : MGT009+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n017.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 09:06:42 EDT 2023

% Result   : Theorem 0.20s 0.72s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : MGT009+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 05:47:57 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.60  start to proof:theBenchmark
% 0.20/0.71  %-------------------------------------------
% 0.20/0.71  % File        :CSE---1.6
% 0.20/0.71  % Problem     :theBenchmark
% 0.20/0.71  % Transform   :cnf
% 0.20/0.71  % Format      :tptp:raw
% 0.20/0.71  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.71  
% 0.20/0.71  % Result      :Theorem 0.020000s
% 0.20/0.71  % Output      :CNFRefutation 0.020000s
% 0.20/0.71  %-------------------------------------------
% 0.20/0.72  %--------------------------------------------------------------------------
% 0.20/0.72  % File     : MGT009+1 : TPTP v8.1.2. Released v2.0.0.
% 0.20/0.72  % Domain   : Management (Organisation Theory)
% 0.20/0.72  % Problem  : Large organization have higher reproducibility
% 0.20/0.72  % Version  : [PB+94] axioms.
% 0.20/0.72  % English  :
% 0.20/0.72  
% 0.20/0.72  % Refs     : [PB+92] Peli et al. (1992), A Logical Approach to Formalizing
% 0.20/0.72  %          : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing
% 0.20/0.72  %          : [Kam94] Kamps (1994), Email to G. Sutcliffe
% 0.20/0.72  % Source   : [Kam94]
% 0.20/0.72  % Names    : THEOREM 9 [PB+92]
% 0.20/0.72  %          : T9FOL1 [PB+94]
% 0.20/0.72  
% 0.20/0.72  % Status   : Theorem
% 0.20/0.72  % Rating   : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.50 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.1.0
% 0.20/0.72  % Syntax   : Number of formulae    :    4 (   0 unt;   0 def)
% 0.20/0.72  %            Number of atoms       :   34 (   0 equ)
% 0.20/0.72  %            Maximal formula atoms :   12 (   8 avg)
% 0.20/0.72  %            Number of connectives :   30 (   0   ~;   0   |;  25   &)
% 0.20/0.72  %                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
% 0.20/0.72  %            Maximal formula depth :   21 (  16 avg)
% 0.20/0.72  %            Maximal term depth    :    1 (   1 avg)
% 0.20/0.72  %            Number of predicates  :    7 (   7 usr;   0 prp; 2-3 aty)
% 0.20/0.72  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.20/0.72  %            Number of variables   :   29 (  28   !;   1   ?)
% 0.20/0.72  % SPC      : FOF_THM_RFO_NEQ
% 0.20/0.72  
% 0.20/0.72  % Comments :
% 0.20/0.72  %--------------------------------------------------------------------------
% 0.20/0.72  fof(mp5,axiom,
% 0.20/0.72      ! [X,T] :
% 0.20/0.72        ( organization(X,T)
% 0.20/0.72       => ? [I] : inertia(X,I,T) ) ).
% 0.20/0.72  
% 0.20/0.72  %----High levels of reproducibility of structure generate strong
% 0.20/0.72  %----inertial pressures.
% 0.20/0.72  fof(a3_FOL,hypothesis,
% 0.20/0.72      ! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
% 0.20/0.72        ( ( organization(X,T1)
% 0.20/0.72          & organization(Y,T2)
% 0.20/0.72          & reorganization_free(X,T1,T1)
% 0.20/0.72          & reorganization_free(Y,T2,T2)
% 0.20/0.72          & reproducibility(X,Rp1,T1)
% 0.20/0.72          & reproducibility(Y,Rp2,T2)
% 0.20/0.72          & inertia(X,I1,T1)
% 0.20/0.72          & inertia(Y,I2,T2) )
% 0.20/0.72       => ( greater(Rp2,Rp1)
% 0.20/0.72        <=> greater(I2,I1) ) ) ).
% 0.20/0.72  
% 0.20/0.72  %----The level of structural inertia increases with size for each class
% 0.20/0.72  %----of organizations.
% 0.20/0.72  fof(a5_FOL,hypothesis,
% 0.20/0.72      ! [X,Y,C,S1,S2,I1,I2,T1,T2] :
% 0.20/0.72        ( ( organization(X,T1)
% 0.20/0.72          & organization(Y,T2)
% 0.20/0.72          & class(X,C,T1)
% 0.20/0.72          & class(Y,C,T2)
% 0.20/0.72          & size(X,S1,T1)
% 0.20/0.72          & size(Y,S2,T2)
% 0.20/0.72          & inertia(X,I1,T1)
% 0.20/0.72          & inertia(Y,I2,T2)
% 0.20/0.72          & greater(S2,S1) )
% 0.20/0.72       => greater(I2,I1) ) ).
% 0.20/0.72  
% 0.20/0.72  fof(t9_FOL,conjecture,
% 0.20/0.72      ! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
% 0.20/0.72        ( ( organization(X,T1)
% 0.20/0.72          & organization(Y,T2)
% 0.20/0.72          & reorganization_free(X,T1,T1)
% 0.20/0.72          & reorganization_free(Y,T2,T2)
% 0.20/0.72          & class(X,C,T1)
% 0.20/0.72          & class(Y,C,T2)
% 0.20/0.72          & reproducibility(X,Rp1,T1)
% 0.20/0.72          & reproducibility(Y,Rp2,T2)
% 0.20/0.72          & size(X,S1,T1)
% 0.20/0.72          & size(Y,S2,T2)
% 0.20/0.72          & greater(S2,S1) )
% 0.20/0.72       => greater(Rp2,Rp1) ) ).
% 0.20/0.72  
% 0.20/0.72  %--------------------------------------------------------------------------
% 0.20/0.72  %-------------------------------------------
% 0.20/0.72  % Proof found
% 0.20/0.72  % SZS status Theorem for theBenchmark
% 0.20/0.72  % SZS output start Proof
% 0.20/0.73  %ClaNum:16(EqnAxiom:0)
% 0.20/0.73  %VarNum:84(SingletonVarNum:27)
% 0.20/0.73  %MaxLitNum:10
% 0.20/0.73  %MaxfuncDepth:1
% 0.20/0.73  %SharedTerms:21
% 0.20/0.73  %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12
% 0.20/0.73  %singleGoalClaCount:12
% 0.20/0.73  [1]P1(a1,a4)
% 0.20/0.73  [2]P1(a5,a2)
% 0.20/0.73  [3]P2(a6,a7)
% 0.20/0.73  [4]P5(a1,a4,a4)
% 0.20/0.73  [5]P5(a5,a2,a2)
% 0.20/0.73  [6]P6(a1,a8,a4)
% 0.20/0.73  [7]P6(a5,a10,a2)
% 0.20/0.73  [8]P3(a1,a9,a4)
% 0.20/0.73  [9]P3(a5,a9,a2)
% 0.20/0.73  [10]P7(a1,a7,a4)
% 0.20/0.73  [11]P7(a5,a6,a2)
% 0.20/0.73  [12]~P2(a10,a8)
% 0.20/0.73  [13]~P1(x131,x132)+P4(x131,f3(x131,x132),x132)
% 0.20/0.73  [15]~P4(x153,x151,x154)+~P4(x155,x152,x156)+~P5(x153,x154,x154)+~P5(x155,x156,x156)+~P6(x153,x157,x154)+~P6(x155,x158,x156)+P2(x151,x152)+~P1(x153,x154)+~P1(x155,x156)+~P2(x157,x158)
% 0.20/0.73  [16]~P4(x163,x167,x164)+~P4(x165,x168,x166)+~P5(x163,x164,x164)+~P5(x165,x166,x166)+~P6(x163,x161,x164)+~P6(x165,x162,x166)+P2(x161,x162)+~P1(x163,x164)+~P1(x165,x166)+~P2(x167,x168)
% 0.20/0.73  [14]~P4(x143,x141,x144)+~P4(x145,x142,x146)+~P3(x145,x149,x146)+~P7(x143,x147,x144)+~P7(x145,x148,x146)+P2(x141,x142)+~P1(x143,x144)+~P3(x143,x149,x144)+~P1(x145,x146)+~P2(x147,x148)
% 0.20/0.73  %EqnAxiom
% 0.20/0.73  
% 0.20/0.73  %-------------------------------------------
% 0.20/0.73  cnf(17,plain,
% 0.20/0.73     (P4(a1,f3(a1,a4),a4)),
% 0.20/0.73     inference(scs_inference,[],[1,13])).
% 0.20/0.73  cnf(31,plain,
% 0.20/0.73     (P4(a5,f3(a5,a2),a2)),
% 0.20/0.73     inference(scs_inference,[],[2,13])).
% 0.20/0.73  cnf(35,plain,
% 0.20/0.73     (P2(f3(a5,a2),f3(a1,a4))),
% 0.20/0.73     inference(scs_inference,[],[3,31,10,11,8,9,17,2,1,14])).
% 0.20/0.73  cnf(38,plain,
% 0.20/0.73     ($false),
% 0.20/0.73     inference(scs_inference,[],[4,35,31,12,6,7,5,17,2,1,16]),
% 0.20/0.73     ['proof']).
% 0.20/0.73  % SZS output end Proof
% 0.20/0.73  % Total time :0.020000s
%------------------------------------------------------------------------------