TSTP Solution File: MGT045+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT045+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 09:07:01 EDT 2023
% Result : Theorem 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT045+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.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 06:31:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % File :CSE---1.6
% 0.20/0.61 % Problem :theBenchmark
% 0.20/0.61 % Transform :cnf
% 0.20/0.61 % Format :tptp:raw
% 0.20/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.61
% 0.20/0.61 % Result :Theorem 0.000000s
% 0.20/0.61 % Output :CNFRefutation 0.000000s
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 % File : MGT045+1 : TPTP v8.1.2. Released v2.4.0.
% 0.20/0.61 % Domain : Management (Organisation Theory)
% 0.20/0.61 % Problem : Structural position increases monotonically with age
% 0.20/0.61 % Version : [Han98] axioms.
% 0.20/0.61 % English : An organization's structural position increases monotonically
% 0.20/0.61 % with its age.
% 0.20/0.61
% 0.20/0.61 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 0.20/0.61 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 0.20/0.61 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 0.20/0.61 % Source : [Kam00]
% 0.20/0.61 % Names : LEMMA 4 [Han98]
% 0.20/0.61
% 0.20/0.61 % Status : Theorem
% 0.20/0.61 % Rating : 0.03 v8.1.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.00 v5.3.0, 0.07 v5.2.0, 0.05 v5.0.0, 0.00 v3.2.0, 0.09 v3.1.0, 0.00 v2.4.0
% 0.20/0.61 % Syntax : Number of formulae : 9 ( 0 unt; 0 def)
% 0.20/0.61 % Number of atoms : 27 ( 5 equ)
% 0.20/0.61 % Maximal formula atoms : 5 ( 3 avg)
% 0.20/0.61 % Number of connectives : 19 ( 1 ~; 4 |; 5 &)
% 0.20/0.61 % ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% 0.20/0.61 % Maximal formula depth : 7 ( 5 avg)
% 0.20/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.61 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.20/0.61 % Number of functors : 3 ( 3 usr; 0 con; 2-2 aty)
% 0.20/0.61 % Number of variables : 22 ( 22 !; 0 ?)
% 0.20/0.61 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.61
% 0.20/0.62 % Comments : See MGT042+1.p for the mnemonic names.
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 include('Axioms/MGT001+0.ax').
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %----Problem Axioms
% 0.20/0.62 %----Improved ties with external actors enhance an organization's position.
% 0.20/0.62 fof(assumption_6,axiom,
% 0.20/0.62 ! [X,T0,T] :
% 0.20/0.62 ( organization(X)
% 0.20/0.62 => ( ( greater(external_ties(X,T),external_ties(X,T0))
% 0.20/0.62 => greater(position(X,T),position(X,T0)) )
% 0.20/0.62 & ( external_ties(X,T) = external_ties(X,T0)
% 0.20/0.62 => position(X,T) = position(X,T0) ) ) ) ).
% 0.20/0.62
% 0.20/0.62 %----The quality of an organization's external ties increases
% 0.20/0.62 %----monotonically with its age.
% 0.20/0.62 fof(assumption_8,axiom,
% 0.20/0.62 ! [X,T0,T] :
% 0.20/0.62 ( ( organization(X)
% 0.20/0.62 & greater(age(X,T),age(X,T0)) )
% 0.20/0.62 => greater(external_ties(X,T),external_ties(X,T0)) ) ).
% 0.20/0.62
% 0.20/0.62 %----Problem theorems
% 0.20/0.62 %----An organization's structural position increases monotonically
% 0.20/0.62 %----with its age.
% 0.20/0.62 %----From A6 and A8 (no inequalities needed).
% 0.20/0.62 fof(lemma_4,conjecture,
% 0.20/0.62 ! [X,T0,T] :
% 0.20/0.62 ( ( organization(X)
% 0.20/0.62 & greater(age(X,T),age(X,T0)) )
% 0.20/0.62 => greater(position(X,T),position(X,T0)) ) ).
% 0.20/0.62
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark
% 0.20/0.62 % SZS output start Proof
% 0.20/0.62 %ClaNum:35(EqnAxiom:18)
% 0.20/0.62 %VarNum:79(SingletonVarNum:32)
% 0.20/0.62 %MaxLitNum:3
% 0.20/0.62 %MaxfuncDepth:1
% 0.20/0.62 %SharedTerms:10
% 0.20/0.62 %goalClause: 19 20 21
% 0.20/0.62 %singleGoalClaCount:3
% 0.20/0.62 [19]P1(a1)
% 0.20/0.62 [20]P2(f2(a1,a3),f2(a1,a4))
% 0.20/0.62 [21]~P2(f5(a1,a3),f5(a1,a4))
% 0.20/0.62 [22]~E(x221,x222)+P4(x221,x222)
% 0.20/0.62 [23]~E(x231,x232)+P3(x231,x232)
% 0.20/0.62 [25]~P5(x251,x252)+P4(x251,x252)
% 0.20/0.62 [26]~P2(x262,x261)+P5(x261,x262)
% 0.20/0.62 [27]~P2(x271,x272)+P3(x271,x272)
% 0.20/0.62 [28]~P5(x282,x281)+P2(x281,x282)
% 0.20/0.62 [31]~P2(x312,x311)+~P2(x311,x312)
% 0.20/0.62 [24]P5(x241,x242)+P2(x241,x242)+E(x241,x242)
% 0.20/0.62 [29]P5(x291,x292)+~P4(x291,x292)+E(x291,x292)
% 0.20/0.62 [30]P2(x301,x302)+~P3(x301,x302)+E(x301,x302)
% 0.20/0.62 [32]~P2(x321,x323)+P2(x321,x322)+~P2(x323,x322)
% 0.20/0.62 [33]~P1(x331)+~E(f6(x331,x332),f6(x331,x333))+E(f5(x331,x332),f5(x331,x333))
% 0.20/0.62 [34]~P1(x341)+~P2(f2(x341,x342),f2(x341,x343))+P2(f6(x341,x342),f6(x341,x343))
% 0.20/0.62 [35]~P1(x351)+~P2(f6(x351,x352),f6(x351,x353))+P2(f5(x351,x352),f5(x351,x353))
% 0.20/0.62 %EqnAxiom
% 0.20/0.62 [1]E(x11,x11)
% 0.20/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.62 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.20/0.62 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.20/0.62 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.20/0.62 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.20/0.62 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 0.20/0.62 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 0.20/0.62 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.20/0.62 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.20/0.62 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.20/0.62 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 0.20/0.62 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 0.20/0.62 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153)
% 0.20/0.62 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161)
% 0.20/0.62 [17]P5(x172,x173)+~E(x171,x172)+~P5(x171,x173)
% 0.20/0.62 [18]P5(x183,x182)+~E(x181,x182)+~P5(x183,x181)
% 0.20/0.62
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 cnf(40,plain,
% 0.20/0.62 ($false),
% 0.20/0.62 inference(scs_inference,[],[19,20,21,31,28,35,34]),
% 0.20/0.62 ['proof']).
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time :0.000000s
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