%------------------------------------------------------------------------------
% 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 : n015.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 : Unsatisfiable 0.53s 0.72s
% 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
% 0.06/0.33 % Computer : n015.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Mon Sep 7 13:18:15 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.23/0.51 start to proof:theBenchmark
% 0.53/0.71 %-------------------------------------------
% 0.53/0.71 % File :CSE---1.7
% 0.53/0.71 % Problem :theBenchmark
% 0.53/0.71 % Transform :cnf
% 0.53/0.71 % Format :tptp:raw
% 0.53/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.71
% 0.53/0.71 % Result :Theorem 0.226871s
% 0.53/0.71 % Output :CNFRefutation 0.226871s
% 0.53/0.71 %-------------------------------------------
% 0.53/0.71 %--------------------------------------------------------------------------
% 0.53/0.71 % File : MGT048-1 : TPTP v9.3.0. Released v2.4.0.
% 0.53/0.71 % Domain : Management (Organisation Theory)
% 0.53/0.71 % Problem : Capability decreases monotonically with its age
% 0.53/0.71 % Version : [Han98] axioms.
% 0.53/0.71 % English : An organization's capability decreases monotonically with its age.
% 0.53/0.71
% 0.53/0.71 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 0.53/0.71 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 0.53/0.71 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 0.53/0.71 % Source : [TPTP]
% 0.53/0.71 % Names :
% 0.53/0.71
% 0.53/0.71 % Status : Unsatisfiable
% 0.53/0.71 % Rating : 0.17 v9.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.4.0
% 0.53/0.71 % Syntax : Number of clauses : 19 ( 3 unt; 3 nHn; 17 RR)
% 0.53/0.71 % Number of literals : 46 ( 9 equ; 25 neg)
% 0.53/0.71 % Maximal clause size : 4 ( 2 avg)
% 0.53/0.71 % Maximal term depth : 2 ( 1 avg)
% 0.53/0.71 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.53/0.71 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.53/0.71 % Number of variables : 38 ( 2 sgn)
% 0.53/0.71 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.53/0.71
% 0.53/0.71 % Comments : See MGT042+1.p for the mnemonic names.
% 0.53/0.71 % : Created with tptp2X -f tptp -t clausify:otter MGT048+1.p
% 0.53/0.71 %--------------------------------------------------------------------------
% 0.53/0.71 include('Axioms/MGT001-0.ax').
% 0.53/0.71 %--------------------------------------------------------------------------
% 0.53/0.72 cnf(assumption_5_32,axiom,
% 0.53/0.72 ( ~ organization(A)
% 0.53/0.72 | ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
% 0.53/0.72 | ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
% 0.53/0.72 | greater(capability(A,B),capability(A,C)) ) ).
% 0.53/0.72
% 0.53/0.72 cnf(assumption_5_33,axiom,
% 0.53/0.72 ( ~ organization(A)
% 0.53/0.72 | ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
% 0.53/0.72 | ~ greater(internal_friction(A,B),internal_friction(A,C))
% 0.53/0.72 | smaller(capability(A,B),capability(A,C)) ) ).
% 0.53/0.72
% 0.53/0.72 cnf(assumption_5_34,axiom,
% 0.53/0.72 ( ~ organization(A)
% 0.53/0.72 | stock_of_knowledge(A,B) != stock_of_knowledge(A,C)
% 0.53/0.72 | internal_friction(A,B) != internal_friction(A,C)
% 0.53/0.72 | capability(A,B) = capability(A,C) ) ).
% 0.53/0.72
% 0.53/0.72 cnf(assumption_10_35,axiom,
% 0.53/0.72 ( ~ organization(A)
% 0.53/0.72 | stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) ).
% 0.53/0.72
% 0.53/0.72 cnf(assumption_12_36,axiom,
% 0.53/0.72 ( ~ organization(A)
% 0.53/0.72 | ~ greater(age(A,B),age(A,C))
% 0.53/0.72 | greater(internal_friction(A,B),internal_friction(A,C)) ) ).
% 0.53/0.72
% 0.53/0.72 cnf(lemma_5_37,negated_conjecture,
% 0.53/0.72 organization(sk1) ).
% 0.53/0.72
% 0.53/0.72 cnf(lemma_5_38,negated_conjecture,
% 0.53/0.72 greater(age(sk1,sk3),age(sk1,sk2)) ).
% 0.53/0.72
% 0.53/0.72 cnf(lemma_5_39,negated_conjecture,
% 0.53/0.72 ~ smaller(capability(sk1,sk3),capability(sk1,sk2)) ).
% 0.53/0.72
% 0.53/0.72 %--------------------------------------------------------------------------
% 0.53/0.72 %-------------------------------------------
% 0.53/0.72 % Proof found
% 0.53/0.72 % SZS status Theorem for theBenchmark
% 0.53/0.72 % SZS output start Proof
% 0.53/0.72 %ClaNum:39(EqnAxiom:20)
% 0.53/0.72 %VarNum:105(SingletonVarNum:38)
% 0.53/0.72 %MaxLitNum:4
% 0.53/0.72 %MaxfuncDepth:1
% 0.53/0.72 %SharedTerms:10
% 0.53/0.72 %goalClause: 21 22 23
% 0.53/0.72 %singleGoalClaCount:3
% 0.53/0.72 [21]P1(a1)
% 0.53/0.72 [22]P2(f2(a1,a5),f2(a1,a6))
% 0.53/0.72 [23]~P4(f3(a1,a5),f3(a1,a6))
% 0.53/0.72 [24]~E(x241,x242)+P5(x241,x242)
% 0.53/0.72 [25]~E(x251,x252)+P3(x251,x252)
% 0.53/0.72 [28]~P4(x281,x282)+P5(x281,x282)
% 0.53/0.72 [29]~P2(x292,x291)+P4(x291,x292)
% 0.53/0.72 [30]~P2(x301,x302)+P3(x301,x302)
% 0.53/0.72 [31]~P4(x312,x311)+P2(x311,x312)
% 0.53/0.72 [34]~P2(x342,x341)+~P2(x341,x342)
% 0.53/0.72 [27]~P1(x271)+E(f7(x271,x272),f7(x271,x273))
% 0.53/0.72 [26]P4(x261,x262)+P2(x261,x262)+E(x261,x262)
% 0.53/0.72 [32]P4(x321,x322)+~P5(x321,x322)+E(x321,x322)
% 0.53/0.72 [33]P2(x331,x332)+~P3(x331,x332)+E(x331,x332)
% 0.53/0.72 [35]~P2(x351,x353)+P2(x351,x352)+~P2(x353,x352)
% 0.53/0.72 [37]~P1(x371)+~P2(f2(x371,x372),f2(x371,x373))+P2(f4(x371,x372),f4(x371,x373))
% 0.53/0.72 [36]~P1(x361)+~E(f7(x361,x362),f7(x361,x363))+~E(f4(x361,x362),f4(x361,x363))+E(f3(x361,x362),f3(x361,x363))
% 0.53/0.72 [38]~P1(x381)+~P5(f7(x381,x382),f7(x381,x383))+~P2(f4(x381,x382),f4(x381,x383))+P4(f3(x381,x382),f3(x381,x383))
% 0.53/0.72 [39]~P1(x391)+~P5(f4(x391,x392),f4(x391,x393))+~P2(f7(x391,x392),f7(x391,x393))+P2(f3(x391,x392),f3(x391,x393))
% 0.53/0.72 %EqnAxiom
% 0.53/0.72 [1]E(x11,x11)
% 0.53/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.72 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.53/0.72 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.53/0.72 [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 0.53/0.72 [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 0.53/0.72 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 0.53/0.72 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 0.53/0.72 [10]~E(x101,x102)+E(f4(x101,x103),f4(x102,x103))
% 0.53/0.72 [11]~E(x111,x112)+E(f4(x113,x111),f4(x113,x112))
% 0.53/0.72 [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 0.53/0.72 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 0.53/0.72 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 0.53/0.72 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153)
% 0.53/0.72 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161)
% 0.53/0.72 [17]P5(x172,x173)+~E(x171,x172)+~P5(x171,x173)
% 0.53/0.72 [18]P5(x183,x182)+~E(x181,x182)+~P5(x183,x181)
% 0.53/0.72 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 0.53/0.72 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 0.53/0.72
% 0.53/0.72 %-------------------------------------------
% 0.53/0.72 cnf(110,plain,
% 0.53/0.72 (~E(a1,x1101)+E(f7(x1101,x1102),f7(x1101,x1103))),
% 0.53/0.72 inference(scs_inference,[],[21,27,12])).
% 0.53/0.72 cnf(111,plain,
% 0.53/0.72 (E(f7(a1,x1111),f7(a1,x1112))),
% 0.53/0.72 inference(equality_inference,[],[110])).
% 0.53/0.72 cnf(196,plain,
% 0.53/0.72 (~P2(f4(a1,a5),f4(a1,a6))),
% 0.53/0.72 inference(scs_inference,[],[111,23,21,24,38])).
% 0.53/0.72 cnf(199,plain,
% 0.53/0.72 ($false),
% 0.53/0.72 inference(scs_inference,[],[22,21,196,31,37]),
% 0.53/0.72 ['proof']).
% 0.53/0.72 % SZS output end Proof
% 0.53/0.72 % Total time :0.226871s
%------------------------------------------------------------------------------