%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT045-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 : Unsatisfiable 0.24s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT045-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n007.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
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 7 13:07:26 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.24/0.51 start to proof:theBenchmark
% 0.24/0.51 %-------------------------------------------
% 0.24/0.51 % File :CSE---1.7
% 0.24/0.51 % Problem :theBenchmark
% 0.24/0.51 % Transform :cnf
% 0.24/0.51 % Format :tptp:raw
% 0.24/0.51 % Command :java -jar mcs_scs.jar %d %s
% 0.24/0.51
% 0.24/0.51 % Result :Theorem 0.005230s
% 0.24/0.51 % Output :CNFRefutation 0.005230s
% 0.24/0.51 %-------------------------------------------
% 0.24/0.52 %--------------------------------------------------------------------------
% 0.24/0.52 % File : MGT045-1 : TPTP v9.3.0. Released v2.4.0.
% 0.24/0.52 % Domain : Management (Organisation Theory)
% 0.24/0.52 % Problem : Structural position increases monotonically with age
% 0.24/0.52 % Version : [Han98] axioms.
% 0.24/0.52 % English : An organization's structural position increases monotonically
% 0.24/0.52 % 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 : [TPTP]
% 0.24/0.52 % Names :
% 0.24/0.52
% 0.24/0.52 % Status : Unsatisfiable
% 0.24/0.52 % Rating : 0.08 v9.3.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 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
% 0.24/0.52 % Syntax : Number of clauses : 17 ( 3 unt; 3 nHn; 16 RR)
% 0.24/0.52 % Number of literals : 38 ( 7 equ; 19 neg)
% 0.24/0.52 % Maximal clause size : 3 ( 2 avg)
% 0.24/0.52 % Maximal term depth : 2 ( 1 avg)
% 0.24/0.52 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.24/0.52 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 0.24/0.52 % Number of variables : 32 ( 0 sgn)
% 0.24/0.52 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.24/0.52
% 0.24/0.52 % Comments : See MGT042+1.p for the mnemonic names.
% 0.24/0.52 % : Created with tptp2X -f tptp -t clausify:otter MGT045+1.p
% 0.24/0.52 %--------------------------------------------------------------------------
% 0.24/0.52 include('Axioms/MGT001-0.ax').
% 0.24/0.52 %--------------------------------------------------------------------------
% 0.24/0.52 cnf(assumption_6_30,axiom,
% 0.24/0.52 ( ~ organization(A)
% 0.24/0.52 | ~ greater(external_ties(A,B),external_ties(A,C))
% 0.24/0.52 | greater(position(A,B),position(A,C)) ) ).
% 0.24/0.52
% 0.24/0.52 cnf(assumption_6_31,axiom,
% 0.24/0.52 ( ~ organization(A)
% 0.24/0.52 | external_ties(A,B) != external_ties(A,C)
% 0.24/0.52 | position(A,B) = position(A,C) ) ).
% 0.24/0.52
% 0.24/0.52 cnf(assumption_8_32,axiom,
% 0.24/0.52 ( ~ organization(A)
% 0.24/0.52 | ~ greater(age(A,B),age(A,C))
% 0.24/0.52 | greater(external_ties(A,B),external_ties(A,C)) ) ).
% 0.24/0.52
% 0.24/0.52 cnf(lemma_4_33,negated_conjecture,
% 0.24/0.52 organization(sk1) ).
% 0.24/0.52
% 0.24/0.52 cnf(lemma_4_34,negated_conjecture,
% 0.24/0.52 greater(age(sk1,sk3),age(sk1,sk2)) ).
% 0.24/0.52
% 0.24/0.52 cnf(lemma_4_35,negated_conjecture,
% 0.24/0.52 ~ greater(position(sk1,sk3),position(sk1,sk2)) ).
% 0.24/0.52
% 0.24/0.52 %--------------------------------------------------------------------------
% 0.24/0.52 %-------------------------------------------
% 0.24/0.52 % Proof found
% 0.24/0.52 % SZS status Theorem for theBenchmark
% 0.24/0.52 % SZS output start Proof
% 0.24/0.52 %ClaNum:35(EqnAxiom:18)
% 0.24/0.52 %VarNum:79(SingletonVarNum:32)
% 0.24/0.52 %MaxLitNum:3
% 0.24/0.52 %MaxfuncDepth:1
% 0.24/0.52 %SharedTerms:10
% 0.24/0.52 %goalClause: 19 20 21
% 0.24/0.52 %singleGoalClaCount:3
% 0.24/0.52 [19]P1(a1)
% 0.24/0.52 [20]P2(f2(a1,a5),f2(a1,a6))
% 0.24/0.52 [21]~P2(f3(a1,a5),f3(a1,a6))
% 0.24/0.52 [22]~E(x221,x222)+P4(x221,x222)
% 0.24/0.52 [23]~E(x231,x232)+P3(x231,x232)
% 0.24/0.52 [25]~P5(x251,x252)+P4(x251,x252)
% 0.24/0.52 [26]~P2(x262,x261)+P5(x261,x262)
% 0.24/0.52 [27]~P2(x271,x272)+P3(x271,x272)
% 0.24/0.52 [28]~P5(x282,x281)+P2(x281,x282)
% 0.24/0.52 [31]~P2(x312,x311)+~P2(x311,x312)
% 0.24/0.52 [24]P5(x241,x242)+P2(x241,x242)+E(x241,x242)
% 0.24/0.52 [29]P5(x291,x292)+~P4(x291,x292)+E(x291,x292)
% 0.24/0.52 [30]P2(x301,x302)+~P3(x301,x302)+E(x301,x302)
% 0.24/0.52 [32]~P2(x321,x323)+P2(x321,x322)+~P2(x323,x322)
% 0.24/0.52 [33]~P1(x331)+~E(f4(x331,x332),f4(x331,x333))+E(f3(x331,x332),f3(x331,x333))
% 0.24/0.52 [34]~P1(x341)+~P2(f2(x341,x342),f2(x341,x343))+P2(f4(x341,x342),f4(x341,x343))
% 0.24/0.52 [35]~P1(x351)+~P2(f4(x351,x352),f4(x351,x353))+P2(f3(x351,x352),f3(x351,x353))
% 0.24/0.52 %EqnAxiom
% 0.24/0.52 [1]E(x11,x11)
% 0.24/0.52 [2]E(x22,x21)+~E(x21,x22)
% 0.24/0.52 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.24/0.52 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.24/0.52 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.24/0.52 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.24/0.52 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.24/0.52 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 0.24/0.52 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 0.24/0.52 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.24/0.52 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.24/0.52 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.24/0.52 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 0.24/0.52 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 0.24/0.52 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153)
% 0.24/0.52 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161)
% 0.24/0.52 [17]P5(x172,x173)+~E(x171,x172)+~P5(x171,x173)
% 0.24/0.52 [18]P5(x183,x182)+~E(x181,x182)+~P5(x183,x181)
% 0.24/0.52
% 0.24/0.52 %-------------------------------------------
% 0.24/0.52 cnf(45,plain,
% 0.24/0.52 ($false),
% 0.24/0.52 inference(scs_inference,[],[19,20,21,28,31,35,34]),
% 0.24/0.52 ['proof']).
% 0.24/0.52 % SZS output end Proof
% 0.24/0.52 % Total time :0.005230s
%------------------------------------------------------------------------------