%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT048+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 : n014.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 06:04:20 AM UTC 2026
% Result : Theorem 0.23s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT048+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
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 13:14:26 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.23/0.52 start to proof:theBenchmark
% 0.23/0.54 %-------------------------------------------
% 0.23/0.54 % File :CSE---1.7
% 0.23/0.54 % Problem :theBenchmark
% 0.23/0.54 % Transform :cnf
% 0.23/0.54 % Format :tptp:raw
% 0.23/0.54 % Command :java -jar mcs_scs.jar %d %s
% 0.23/0.54
% 0.23/0.54 % Result :Theorem 0.044516s
% 0.23/0.54 % Output :CNFRefutation 0.044516s
% 0.23/0.54 %-------------------------------------------
% 0.23/0.54 %--------------------------------------------------------------------------
% 0.23/0.54 % File : MGT048+1 : TPTP v9.3.0. Released v2.4.0.
% 0.23/0.54 % Domain : Management (Organisation Theory)
% 0.23/0.54 % Problem : Capability decreases monotonically with its age
% 0.23/0.54 % Version : [Han98] axioms.
% 0.23/0.54 % English : An organization's capability decreases monotonically with its age.
% 0.23/0.54
% 0.23/0.54 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 0.23/0.55 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 0.23/0.55 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 0.23/0.55 % Source : [Kam00]
% 0.23/0.55 % Names : LEMMA 5 [Han98]
% 0.23/0.55
% 0.23/0.55 % Status : Theorem
% 0.23/0.55 % Rating : 0.09 v9.1.0, 0.06 v8.1.0, 0.03 v7.1.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.05 v5.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0, 0.17 v2.5.0, 0.00 v2.4.0
% 0.23/0.55 % Syntax : Number of formulae : 10 ( 0 unt; 0 def)
% 0.23/0.55 % Number of atoms : 34 ( 7 equ)
% 0.23/0.55 % Maximal formula atoms : 10 ( 3 avg)
% 0.23/0.55 % Number of connectives : 25 ( 1 ~; 4 |; 9 &)
% 0.23/0.55 % ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% 0.23/0.55 % Maximal formula depth : 9 ( 6 avg)
% 0.23/0.55 % Maximal term depth : 2 ( 1 avg)
% 0.23/0.55 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.23/0.55 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.23/0.55 % Number of variables : 25 ( 25 !; 0 ?)
% 0.23/0.55 % SPC : FOF_THM_RFO_SEQ
% 0.23/0.55
% 0.23/0.55 % Comments : See MGT042+1.p for the mnemonic names.
% 0.23/0.55 %--------------------------------------------------------------------------
% 0.23/0.55 include('Axioms/MGT001+0.ax').
% 0.23/0.55 %--------------------------------------------------------------------------
% 0.23/0.55 %----Problem Axioms
% 0.23/0.55 %----Increased knowledge elevates an organization's capability; and
% 0.23/0.55 %----increased accumulation of organizational internal frictions
% 0.23/0.55 %----diminishes its capability.
% 0.23/0.55 fof(assumption_5,axiom,
% 0.23/0.55 ! [X,T0,T] :
% 0.23/0.55 ( organization(X)
% 0.23/0.55 => ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
% 0.23/0.55 & smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) )
% 0.23/0.55 => greater(capability(X,T),capability(X,T0)) )
% 0.23/0.55 & ( ( smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
% 0.23/0.55 & greater(internal_friction(X,T),internal_friction(X,T0)) )
% 0.23/0.55 => smaller(capability(X,T),capability(X,T0)) )
% 0.23/0.55 & ( ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
% 0.23/0.55 & internal_friction(X,T) = internal_friction(X,T0) )
% 0.23/0.55 => capability(X,T) = capability(X,T0) ) ) ) ).
% 0.23/0.55
% 0.23/0.55 %----Case: liability of senescence (Ass. 10-12 replacing A7-9)!
% 0.23/0.55 %----
% 0.23/0.55 %----An organization's stock of knowledge does not vary with its age
% 0.23/0.55 %----(contra assumption 7).
% 0.23/0.55 fof(assumption_10,axiom,
% 0.23/0.55 ! [X,T0,T] :
% 0.23/0.55 ( organization(X)
% 0.23/0.55 => stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) ) ).
% 0.23/0.55
% 0.23/0.55 %----The quality of an organization's internal friction increases
% 0.23/0.55 %----monotonically with its age (contra assumption 9).
% 0.23/0.55 fof(assumption_12,axiom,
% 0.23/0.55 ! [X,T0,T] :
% 0.23/0.55 ( ( organization(X)
% 0.23/0.55 & greater(age(X,T),age(X,T0)) )
% 0.23/0.55 => greater(internal_friction(X,T),internal_friction(X,T0)) ) ).
% 0.23/0.55
% 0.23/0.55 %----Problem theorems
% 0.23/0.55 %----Case C: liability of senescence.
% 0.23/0.55 %----
% 0.23/0.55 %----An organization's capability decreases monotonically with its age.
% 0.23/0.55 %----From A5, A10, A12 (also needs D<=).
% 0.23/0.55 %----
% 0.23/0.55 %----Text says mistakenly: capability(X,T) > capability(X,T0)
% 0.23/0.55 fof(lemma_5,conjecture,
% 0.23/0.55 ! [X,T0,T] :
% 0.23/0.55 ( ( organization(X)
% 0.23/0.55 & greater(age(X,T),age(X,T0)) )
% 0.23/0.55 => smaller(capability(X,T),capability(X,T0)) ) ).
% 0.23/0.55
% 0.23/0.55 %--------------------------------------------------------------------------
% 0.23/0.55 %-------------------------------------------
% 0.23/0.55 % Proof found
% 0.23/0.55 % SZS status Theorem for theBenchmark
% 0.23/0.55 % SZS output start Proof
% 0.23/0.55 %ClaNum:43(EqnAxiom:23)
% 0.23/0.55 %VarNum:115(SingletonVarNum:41)
% 0.23/0.55 %MaxLitNum:4
% 0.23/0.55 %MaxfuncDepth:1
% 0.23/0.55 %SharedTerms:10
% 0.23/0.55 %goalClause: 24 25 26
% 0.23/0.55 %singleGoalClaCount:3
% 0.23/0.55 [24]P1(a1)
% 0.23/0.55 [25]P2(f2(a1,a4),f2(a1,a5))
% 0.23/0.55 [26]~P5(f3(a1,a4),f3(a1,a5))
% 0.23/0.55 [27]~E(x271,x272)+P6(x271,x272)
% 0.23/0.55 [28]~E(x281,x282)+P4(x281,x282)
% 0.23/0.55 [31]~P5(x311,x312)+P6(x311,x312)
% 0.23/0.55 [32]~P2(x322,x321)+P5(x321,x322)
% 0.23/0.55 [33]~P2(x331,x332)+P4(x331,x332)
% 0.23/0.55 [34]~P5(x342,x341)+P2(x341,x342)
% 0.23/0.55 [37]~P2(x372,x371)+~P2(x371,x372)
% 0.23/0.55 [39]~P1(x391)+P3(x391,x392,x393)
% 0.23/0.55 [30]~P1(x301)+E(f6(x301,x302),f6(x301,x303))
% 0.23/0.55 [29]P5(x291,x292)+P2(x291,x292)+E(x291,x292)
% 0.23/0.55 [35]P5(x351,x352)+~P6(x351,x352)+E(x351,x352)
% 0.23/0.55 [36]P2(x361,x362)+~P4(x361,x362)+E(x361,x362)
% 0.23/0.55 [38]~P2(x381,x383)+P2(x381,x382)+~P2(x383,x382)
% 0.23/0.55 [40]~P1(x401)+~P2(f2(x401,x402),f2(x401,x403))+P2(f7(x401,x402),f7(x401,x403))
% 0.23/0.55 [41]~P3(x411,x413,x412)+~E(f6(x411,x412),f6(x411,x413))+~E(f7(x411,x412),f7(x411,x413))+E(f3(x411,x412),f3(x411,x413))
% 0.23/0.55 [42]~P3(x421,x423,x422)+~P6(f6(x421,x422),f6(x421,x423))+~P2(f7(x421,x422),f7(x421,x423))+P5(f3(x421,x422),f3(x421,x423))
% 0.23/0.55 [43]~P3(x431,x433,x432)+~P6(f7(x431,x432),f7(x431,x433))+~P2(f6(x431,x432),f6(x431,x433))+P2(f3(x431,x432),f3(x431,x433))
% 0.23/0.55 %EqnAxiom
% 0.23/0.55 [1]E(x11,x11)
% 0.23/0.55 [2]E(x22,x21)+~E(x21,x22)
% 0.23/0.55 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.23/0.55 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.23/0.55 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.23/0.55 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.23/0.55 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.23/0.55 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 0.23/0.55 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 0.23/0.55 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103))
% 0.23/0.55 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112))
% 0.23/0.55 [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 0.23/0.55 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 0.23/0.55 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 0.23/0.55 [15]P5(x152,x153)+~E(x151,x152)+~P5(x151,x153)
% 0.23/0.55 [16]P5(x163,x162)+~E(x161,x162)+~P5(x163,x161)
% 0.23/0.55 [17]P6(x172,x173)+~E(x171,x172)+~P6(x171,x173)
% 0.23/0.55 [18]P6(x183,x182)+~E(x181,x182)+~P6(x183,x181)
% 0.23/0.55 [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193)
% 0.23/0.55 [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201)
% 0.23/0.55 [21]P3(x212,x213,x214)+~E(x211,x212)+~P3(x211,x213,x214)
% 0.23/0.55 [22]P3(x223,x222,x224)+~E(x221,x222)+~P3(x223,x221,x224)
% 0.23/0.55 [23]P3(x233,x234,x232)+~E(x231,x232)+~P3(x233,x234,x231)
% 0.23/0.55
% 0.23/0.55 %-------------------------------------------
% 0.23/0.55 cnf(44,plain,
% 0.23/0.55 (P6(x441,x441)),
% 0.23/0.55 inference(equality_inference,[],[27])).
% 0.23/0.55 cnf(46,plain,
% 0.23/0.55 (P3(a1,x461,x462)),
% 0.23/0.55 inference(scs_inference,[],[24,39])).
% 0.23/0.55 cnf(119,plain,
% 0.23/0.55 (~E(f6(a1,a5),f6(a1,a4))+~P2(f7(a1,a4),f7(a1,a5))),
% 0.23/0.55 inference(scs_inference,[],[26,46,44,17,42])).
% 0.23/0.55 cnf(146,plain,
% 0.23/0.55 (~E(a1,x1461)+E(f6(x1461,x1462),f6(x1461,x1463))),
% 0.23/0.55 inference(scs_inference,[],[24,30,12])).
% 0.23/0.55 cnf(147,plain,
% 0.23/0.55 (E(f6(a1,x1471),f6(a1,x1472))),
% 0.23/0.55 inference(equality_inference,[],[146])).
% 0.23/0.55 cnf(148,plain,
% 0.23/0.55 (~P2(f7(a1,a4),f7(a1,a5))),
% 0.23/0.55 inference(scs_inference,[],[147,119])).
% 0.23/0.55 cnf(166,plain,
% 0.23/0.55 ($false),
% 0.23/0.55 inference(scs_inference,[],[25,24,148,40]),
% 0.23/0.55 ['proof']).
% 0.23/0.55 % SZS output end Proof
% 0.23/0.55 % Total time :0.044516s
%------------------------------------------------------------------------------