%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 06:04:21 AM UTC 2026
% Result : Theorem 0.24s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 13:16:15 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.24/0.52 start to proof:theBenchmark
% 0.24/0.52 %-------------------------------------------
% 0.24/0.52 % File :CSE---1.7
% 0.24/0.52 % Problem :theBenchmark
% 0.24/0.52 % Transform :cnf
% 0.24/0.52 % Format :tptp:raw
% 0.24/0.52 % Command :java -jar mcs_scs.jar %d %s
% 0.24/0.52
% 0.24/0.52 % Result :Theorem 0.005267s
% 0.24/0.52 % Output :CNFRefutation 0.005267s
% 0.24/0.52 %-------------------------------------------
% 0.24/0.52 %--------------------------------------------------------------------------
% 0.24/0.52 % File : MGT049+1 : TPTP v9.3.0. Released v2.4.0.
% 0.24/0.52 % Domain : Management (Organisation Theory)
% 0.24/0.52 % Problem : Structural position does not vary with its age
% 0.24/0.52 % Version : [Han98] axioms.
% 0.24/0.52 % English : An organization's structural position does not vary with its age.
% 0.24/0.52
% 0.24/0.52 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 0.24/0.52 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 0.24/0.52 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 0.24/0.52 % Source : [Kam00]
% 0.24/0.52 % Names : LEMMA 6 [Han98]
% 0.24/0.52
% 0.24/0.52 % Status : Theorem
% 0.24/0.52 % Rating : 0.00 v9.3.0, 0.03 v9.1.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.12 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.13 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.10 v5.0.0, 0.00 v3.2.0, 0.09 v3.1.0, 0.00 v2.4.0
% 0.24/0.53 % Syntax : Number of formulae : 9 ( 0 unt; 0 def)
% 0.24/0.53 % Number of atoms : 26 ( 7 equ)
% 0.24/0.53 % Maximal formula atoms : 5 ( 2 avg)
% 0.24/0.53 % Number of connectives : 18 ( 1 ~; 4 |; 4 &)
% 0.24/0.53 % ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% 0.24/0.53 % Maximal formula depth : 7 ( 5 avg)
% 0.24/0.53 % Maximal term depth : 2 ( 1 avg)
% 0.24/0.53 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.24/0.53 % Number of functors : 3 ( 3 usr; 0 con; 2-2 aty)
% 0.24/0.53 % Number of variables : 22 ( 22 !; 0 ?)
% 0.24/0.53 % SPC : FOF_THM_RFO_SEQ
% 0.24/0.53
% 0.24/0.53 % Comments : See MGT042+1.p for the mnemonic names.
% 0.24/0.53 %--------------------------------------------------------------------------
% 0.24/0.53 include('Axioms/MGT001+0.ax').
% 0.24/0.53 %--------------------------------------------------------------------------
% 0.24/0.53 %----Problem Axioms
% 0.24/0.53 %----Improved ties with external actors enhance an organization's position.
% 0.24/0.53 fof(assumption_6,axiom,
% 0.24/0.53 ! [X,T0,T] :
% 0.24/0.53 ( organization(X)
% 0.24/0.53 => ( ( greater(external_ties(X,T),external_ties(X,T0))
% 0.24/0.53 => greater(position(X,T),position(X,T0)) )
% 0.24/0.53 & ( external_ties(X,T) = external_ties(X,T0)
% 0.24/0.53 => position(X,T) = position(X,T0) ) ) ) ).
% 0.24/0.53
% 0.24/0.53 %----The quality of an organization's external ties does not vary with
% 0.24/0.53 %----its age (contra assumption 8).
% 0.24/0.53 fof(assumption_11,axiom,
% 0.24/0.53 ! [X,T0,T] :
% 0.24/0.53 ( organization(X)
% 0.24/0.53 => external_ties(X,T) = external_ties(X,T0) ) ).
% 0.24/0.53
% 0.24/0.53 %----Problem theorems
% 0.24/0.53 %----An organization's structural position does not vary with its age.
% 0.24/0.53 %----From A6 and A11 (text says A6 and A9!; no inequalities needed).
% 0.24/0.53 fof(lemma_6,conjecture,
% 0.24/0.53 ! [X,T0,T] :
% 0.24/0.53 ( ( organization(X)
% 0.24/0.53 & greater(age(X,T),age(X,T0)) )
% 0.24/0.53 => position(X,T) = position(X,T0) ) ).
% 0.24/0.53
% 0.24/0.53 %--------------------------------------------------------------------------
% 0.24/0.53 %-------------------------------------------
% 0.24/0.53 % Proof found
% 0.24/0.53 % SZS status Theorem for theBenchmark
% 0.24/0.53 % SZS output start Proof
% 0.24/0.53 %ClaNum:35(EqnAxiom:18)
% 0.24/0.53 %VarNum:75(SingletonVarNum:32)
% 0.24/0.53 %MaxLitNum:3
% 0.24/0.53 %MaxfuncDepth:1
% 0.24/0.53 %SharedTerms:10
% 0.24/0.53 %goalClause: 19 20 21
% 0.24/0.53 %singleGoalClaCount:3
% 0.24/0.53 [19]P1(a1)
% 0.24/0.53 [20]P2(f2(a1,a3),f2(a1,a4))
% 0.24/0.53 [21]~E(f5(a1,a4),f5(a1,a3))
% 0.24/0.53 [22]~E(x221,x222)+P4(x221,x222)
% 0.24/0.53 [23]~E(x231,x232)+P3(x231,x232)
% 0.24/0.53 [26]~P5(x261,x262)+P4(x261,x262)
% 0.24/0.53 [27]~P2(x272,x271)+P5(x271,x272)
% 0.24/0.53 [28]~P2(x281,x282)+P3(x281,x282)
% 0.24/0.53 [29]~P5(x292,x291)+P2(x291,x292)
% 0.24/0.53 [32]~P2(x322,x321)+~P2(x321,x322)
% 0.24/0.53 [25]~P1(x251)+E(f6(x251,x252),f6(x251,x253))
% 0.24/0.53 [24]P5(x241,x242)+P2(x241,x242)+E(x241,x242)
% 0.24/0.53 [30]P5(x301,x302)+~P4(x301,x302)+E(x301,x302)
% 0.24/0.53 [31]P2(x311,x312)+~P3(x311,x312)+E(x311,x312)
% 0.24/0.53 [33]~P2(x331,x333)+P2(x331,x332)+~P2(x333,x332)
% 0.24/0.53 [34]~P1(x341)+~E(f6(x341,x342),f6(x341,x343))+E(f5(x341,x342),f5(x341,x343))
% 0.24/0.53 [35]~P1(x351)+~P2(f6(x351,x352),f6(x351,x353))+P2(f5(x351,x352),f5(x351,x353))
% 0.24/0.53 %EqnAxiom
% 0.24/0.53 [1]E(x11,x11)
% 0.24/0.53 [2]E(x22,x21)+~E(x21,x22)
% 0.24/0.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.24/0.53 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.24/0.53 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.24/0.53 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.24/0.53 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.24/0.53 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 0.24/0.53 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 0.24/0.53 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.24/0.53 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.24/0.53 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.24/0.53 [13]P4(x132,x133)+~E(x131,x132)+~P4(x131,x133)
% 0.24/0.53 [14]P4(x143,x142)+~E(x141,x142)+~P4(x143,x141)
% 0.24/0.53 [15]P3(x152,x153)+~E(x151,x152)+~P3(x151,x153)
% 0.24/0.53 [16]P3(x163,x162)+~E(x161,x162)+~P3(x163,x161)
% 0.24/0.53 [17]P5(x172,x173)+~E(x171,x172)+~P5(x171,x173)
% 0.24/0.53 [18]P5(x183,x182)+~E(x181,x182)+~P5(x183,x181)
% 0.24/0.53
% 0.24/0.53 %-------------------------------------------
% 0.24/0.53 cnf(44,plain,
% 0.24/0.53 ($false),
% 0.24/0.53 inference(scs_inference,[],[19,20,21,32,9,34,25]),
% 0.24/0.53 ['proof']).
% 0.24/0.53 % SZS output end Proof
% 0.24/0.53 % Total time :0.005267s
%------------------------------------------------------------------------------