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CSE---1.7.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : MGT016+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:04:15 AM UTC 2026

% Result   : Theorem 58.37s 58.57s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : MGT016+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.34  % Computer : n016.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit   : 300
% 0.07/0.34  % WCLimit    : 300
% 0.07/0.34  % DateTime   : Mon Sep  7 12:00:02 UTC 2026
% 0.07/0.35  % CPUTime    : 
% 0.24/0.52  start to proof:theBenchmark
% 58.37/58.56  %-------------------------------------------
% 58.37/58.56  % File        :CSE---1.7
% 58.37/58.56  % Problem     :theBenchmark
% 58.37/58.56  % Transform   :cnf
% 58.37/58.56  % Format      :tptp:raw
% 58.37/58.56  % Command     :java -jar mcs_scs.jar %d %s
% 58.37/58.56  
% 58.37/58.56  % Result      :Theorem 58.017850s
% 58.37/58.56  % Output      :CNFRefutation 58.017850s
% 58.37/58.56  %-------------------------------------------
% 58.37/58.57  %--------------------------------------------------------------------------
% 58.37/58.57  % File     : MGT016+1 : TPTP v9.3.0. Released v2.0.0.
% 58.37/58.57  % Domain   : Management (Organisation Theory)
% 58.37/58.57  % Problem  : More complex organizations have shorter reorganization
% 58.37/58.57  % Version  : [PB+94] axioms.
% 58.37/58.57  % English  : The more complex an organization is at the beginning of
% 58.37/58.57  %            reorganization, the sooner disbanding due to reorganization
% 58.37/58.57  %            (possibly) happens - i.e., the shorter is the reorganization.
% 58.37/58.57  
% 58.37/58.57  % Refs     : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing
% 58.37/58.57  %          : [Kam94] Kamps (1994), Email to G. Sutcliffe
% 58.37/58.57  %          : [Kam95] Kamps (1995), Email to G. Sutcliffe
% 58.37/58.57  % Source   : [Kam94]
% 58.37/58.57  % Names    :
% 58.37/58.57  
% 58.37/58.57  % Status   : Theorem
% 58.37/58.57  % Rating   : 0.00 v9.3.0, 0.10 v9.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.08 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 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.1.0
% 58.37/58.57  % Syntax   : Number of formulae    :    4 (   0 unt;   0 def)
% 58.37/58.57  %            Number of atoms       :   38 (   0 equ)
% 58.37/58.57  %            Maximal formula atoms :   13 (   9 avg)
% 58.37/58.57  %            Number of connectives :   36 (   2   ~;   0   |;  30   &)
% 58.37/58.57  %                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
% 58.37/58.57  %            Maximal formula depth :   22 (  17 avg)
% 58.37/58.57  %            Maximal term depth    :    1 (   1 avg)
% 58.37/58.57  %            Number of predicates  :    7 (   7 usr;   0 prp; 2-3 aty)
% 58.37/58.57  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 58.37/58.57  %            Number of variables   :   30 (  29   !;   1   ?)
% 58.37/58.57  % SPC      : FOF_THM_RFO_NEQ
% 58.37/58.57  
% 58.37/58.57  % Comments : "Not published due to publication constraints." [Kam95].
% 58.37/58.57  %--------------------------------------------------------------------------
% 58.37/58.57  fof(mp5,axiom,
% 58.37/58.57      ! [X,T] :
% 58.37/58.57        ( organization(X,T)
% 58.37/58.57       => ? [I] : inertia(X,I,T) ) ).
% 58.37/58.57  
% 58.37/58.57  fof(a12_FOL,hypothesis,
% 58.37/58.57      ! [X,Y,C,C1,C2,I1,I2,T1,T2] :
% 58.37/58.57        ( ( organization(X,T1)
% 58.37/58.57          & organization(Y,T2)
% 58.37/58.57          & class(X,C,T1)
% 58.37/58.57          & class(Y,C,T2)
% 58.37/58.57          & complexity(X,C1,T1)
% 58.37/58.57          & complexity(Y,C2,T2)
% 58.37/58.57          & inertia(X,I1,T1)
% 58.37/58.57          & inertia(Y,I2,T2)
% 58.37/58.57          & greater(C2,C1) )
% 58.37/58.57       => greater(I2,I1) ) ).
% 58.37/58.57  
% 58.37/58.57  %----The higher inertia an organization has at the beginning of
% 58.37/58.57  %----reorganization, the sooner disbending due to reorganization
% 58.37/58.57  %----(possibly) happens - i.e., the shorter is the reorganization.
% 58.37/58.57  fof(a14_FOL,hypothesis,
% 58.37/58.57      ! [X,Y,Rt,C,I1,I2,Ta,Tb,Tc] :
% 58.37/58.57        ( ( organization(X,Ta)
% 58.37/58.57          & organization(Y,Ta)
% 58.37/58.57          & ~ organization(Y,Tc)
% 58.37/58.57          & class(X,C,Ta)
% 58.37/58.57          & class(Y,C,Ta)
% 58.37/58.57          & reorganization(X,Ta,Tb)
% 58.37/58.57          & reorganization(Y,Ta,Tc)
% 58.37/58.57          & reorganization_type(X,Rt,Ta)
% 58.37/58.57          & reorganization_type(Y,Rt,Ta)
% 58.37/58.57          & inertia(X,I1,Ta)
% 58.37/58.57          & inertia(Y,I2,Ta)
% 58.37/58.57          & greater(I2,I1) )
% 58.37/58.57       => greater(Tb,Tc) ) ).
% 58.37/58.57  
% 58.37/58.57  fof(t16_FOL,conjecture,
% 58.37/58.57      ! [X,Y,Rt,C,C1,C2,Ta,Tb,Tc] :
% 58.37/58.57        ( ( organization(X,Ta)
% 58.37/58.57          & organization(Y,Ta)
% 58.37/58.57          & ~ organization(Y,Tc)
% 58.37/58.57          & class(X,C,Ta)
% 58.37/58.57          & class(Y,C,Ta)
% 58.37/58.57          & reorganization(X,Ta,Tb)
% 58.37/58.57          & reorganization(Y,Ta,Tc)
% 58.37/58.57          & reorganization_type(X,Rt,Ta)
% 58.37/58.57          & reorganization_type(Y,Rt,Ta)
% 58.37/58.57          & complexity(X,C1,Ta)
% 58.37/58.57          & complexity(Y,C2,Ta)
% 58.37/58.57          & greater(C2,C1) )
% 58.37/58.57       => greater(Tb,Tc) ) ).
% 58.37/58.57  
% 58.37/58.57  %--------------------------------------------------------------------------
% 58.37/58.57  %-------------------------------------------
% 58.37/58.57  % Proof found
% 58.37/58.57  % SZS status Theorem for theBenchmark
% 58.37/58.57  % SZS output start Proof
% 58.37/58.57  %ClaNum:16(EqnAxiom:0)
% 58.37/58.57  %VarNum:66(SingletonVarNum:20)
% 58.37/58.57  %MaxLitNum:13
% 58.37/58.57  %MaxfuncDepth:1
% 58.37/58.57  %SharedTerms:22
% 58.37/58.57  %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13
% 58.37/58.57  %singleGoalClaCount:13
% 58.37/58.57  [1]P1(a1,a4)
% 58.37/58.57  [2]P1(a5,a4)
% 58.37/58.57  [3]P2(a6,a7)
% 58.37/58.57  [4]P3(a1,a8,a4)
% 58.37/58.57  [5]P3(a5,a8,a4)
% 58.37/58.57  [6]P4(a1,a7,a4)
% 58.37/58.57  [7]P4(a5,a6,a4)
% 58.37/58.57  [8]P6(a1,a4,a10)
% 58.37/58.57  [9]P6(a5,a4,a2)
% 58.37/58.57  [10]P7(a1,a9,a4)
% 58.37/58.57  [11]P7(a5,a9,a4)
% 58.37/58.57  [12]~P1(a5,a2)
% 58.37/58.57  [13]~P2(a10,a2)
% 58.37/58.57  [14]~P1(x141,x142)+P5(x141,f3(x141,x142),x142)
% 58.37/58.57  [15]~P5(x153,x151,x154)+~P5(x155,x152,x156)+~P3(x155,x159,x156)+~P4(x153,x157,x154)+~P4(x155,x158,x156)+P2(x151,x152)+~P1(x153,x154)+~P3(x153,x159,x154)+~P1(x155,x156)+~P2(x157,x158)
% 58.37/58.57  [16]~P5(x161,x166,x164)+~P5(x165,x167,x164)+~P3(x165,x168,x164)+~P6(x161,x164,x162)+~P6(x165,x164,x163)+~P7(x165,x169,x164)+P1(x161,x162)+P2(x163,x162)+~P1(x161,x164)+~P1(x165,x164)+~P3(x161,x168,x164)+~P7(x161,x169,x164)+~P2(x166,x167)
% 58.37/58.57  %EqnAxiom
% 58.37/58.57  
% 58.37/58.57  %-------------------------------------------
% 58.60/58.73  cnf(151775,plain,
% 58.60/58.73     (P5(a1,f3(a1,a4),a4)),
% 58.60/58.73     inference(scs_inference,[],[1,14])).
% 58.60/58.73  cnf(151779,plain,
% 58.60/58.73     (P5(a5,f3(a5,a4),a4)),
% 58.60/58.73     inference(scs_inference,[],[2,14])).
% 58.60/58.73  cnf(151791,plain,
% 58.60/58.73     (~P2(f3(a5,a4),f3(a1,a4))),
% 58.60/58.73     inference(scs_inference,[],[1,151779,151775,8,10,9,11,12,6,5,4,2,13,3,15,16])).
% 58.60/58.73  cnf(151804,plain,
% 58.60/58.73     ($false),
% 58.60/58.73     inference(scs_inference,[],[1,151791,151779,151775,6,4,5,2,7,3,15]),
% 58.60/58.73     ['proof']).
% 58.60/58.78  % SZS output end Proof
% 58.60/58.78  % Total time :58.017850s
%------------------------------------------------------------------------------