%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT058+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 : n018.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 06:04:22 AM UTC 2026
% Result : Theorem 0.90s 1.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT058+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
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 7 13:32:52 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.25/0.53 start to proof:theBenchmark
% 0.90/1.07 %-------------------------------------------
% 0.90/1.07 % File :CSE---1.7
% 0.90/1.07 % Problem :theBenchmark
% 0.90/1.07 % Transform :cnf
% 0.90/1.07 % Format :tptp:raw
% 0.90/1.07 % Command :java -jar mcs_scs.jar %d %s
% 0.90/1.07
% 0.90/1.07 % Result :Theorem 0.562558s
% 0.90/1.07 % Output :CNFRefutation 0.562558s
% 0.90/1.07 %-------------------------------------------
% 0.90/1.08 %--------------------------------------------------------------------------
% 0.90/1.08 % File : MGT058+1 : TPTP v9.3.0. Released v2.4.0.
% 0.90/1.08 % Domain : Management (Organisation Theory)
% 0.90/1.08 % Problem : An organization's position cannot be both fragile and robust
% 0.90/1.08 % Version : [Han98] axioms.
% 0.90/1.08 % English :
% 0.90/1.08
% 0.90/1.08 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 0.90/1.08 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 0.90/1.08 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 0.90/1.08 % Source : [Kam00]
% 0.90/1.08 % Names : LEMMA 10 [Han98]
% 0.90/1.08
% 0.90/1.08 % Status : Theorem
% 0.90/1.08 % Rating : 0.09 v9.3.0, 0.12 v9.0.0, 0.14 v8.2.0, 0.11 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.04 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.12 v3.7.0, 0.05 v3.4.0, 0.16 v3.3.0, 0.14 v3.2.0, 0.18 v3.1.0, 0.22 v2.7.0, 0.33 v2.5.0, 0.17 v2.4.0
% 0.90/1.08 % Syntax : Number of formulae : 9 ( 0 unt; 0 def)
% 0.90/1.08 % Number of atoms : 32 ( 4 equ)
% 0.90/1.08 % Maximal formula atoms : 6 ( 3 avg)
% 0.90/1.08 % Number of connectives : 27 ( 4 ~; 4 |; 8 &)
% 0.90/1.08 % ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% 0.90/1.08 % Maximal formula depth : 7 ( 6 avg)
% 0.90/1.08 % Maximal term depth : 2 ( 1 avg)
% 0.90/1.08 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty)
% 0.90/1.08 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.90/1.08 % Number of variables : 19 ( 18 !; 1 ?)
% 0.90/1.08 % SPC : FOF_THM_RFO_SEQ
% 0.90/1.08
% 0.90/1.08 % Comments : See MGT042+1.p for the mnemonic names.
% 0.90/1.08 %--------------------------------------------------------------------------
% 0.90/1.08 include('Axioms/MGT001+0.ax').
% 0.90/1.08 %--------------------------------------------------------------------------
% 0.90/1.08 %----Problem Axioms
% 0.90/1.08 %--- Case: Fragile and robust positions in drifting environments.
% 0.90/1.08 %--- Retracting A16!
% 0.90/1.08 %----
% 0.90/1.08 %----An organization's position is fragile if and only if it does not
% 0.90/1.08 %----provide advantage after age `sigma'.
% 0.90/1.08 %----
% 0.90/1.08 %----Added case: ( smaller_or_equal(age(X,T),sigma)
% 0.90/1.08 %---- => positional_advantage(X,T) )
% 0.90/1.08 fof(definition_3,axiom,
% 0.90/1.08 ! [X] :
% 0.90/1.08 ( fragile_position(X)
% 0.90/1.08 <=> ! [T] :
% 0.90/1.08 ( ( smaller_or_equal(age(X,T),sigma)
% 0.90/1.08 => positional_advantage(X,T) )
% 0.90/1.08 & ( greater(age(X,T),sigma)
% 0.90/1.08 => ~ positional_advantage(X,T) ) ) ) ).
% 0.90/1.08
% 0.90/1.08 %----An organization's position is robust if and only if it provides
% 0.90/1.08 %----positional advantage only after age `tau'.
% 0.90/1.08 %----
% 0.90/1.08 %----Text says fragile_position(X) instead of robust_position(X).
% 0.90/1.08 %----Interchanged ~ positional_advantage(X,T) and positional_advantage(X,T).
% 0.90/1.08 fof(definition_4,axiom,
% 0.90/1.08 ! [X] :
% 0.90/1.08 ( robust_position(X)
% 0.90/1.08 <=> ! [T] :
% 0.90/1.08 ( ( smaller_or_equal(age(X,T),tau)
% 0.90/1.08 => ~ positional_advantage(X,T) )
% 0.90/1.08 & ( greater(age(X,T),tau)
% 0.90/1.08 => positional_advantage(X,T) ) ) ) ).
% 0.90/1.08
% 0.90/1.08 %----Problem theorems
% 0.90/1.08 %----An organization's position cannot be both fragile and robust.
% 0.90/1.08 %----From D3-4 (also needs D<, D<=, D>=, MP>com).
% 0.90/1.08 %----
% 0.90/1.08 %----Requires several additions to the antecedent.
% 0.90/1.08 fof(lemma_10,conjecture,
% 0.90/1.08 ! [X] :
% 0.90/1.08 ( ( organization(X)
% 0.90/1.08 & ? [T0] : age(X,T0) = zero
% 0.90/1.08 & greater_or_equal(sigma,zero)
% 0.90/1.08 & greater_or_equal(tau,zero) )
% 0.90/1.08 => ~ ( fragile_position(X)
% 0.90/1.08 & robust_position(X) ) ) ).
% 0.90/1.08
% 0.90/1.08 %--------------------------------------------------------------------------
% 0.90/1.08 %-------------------------------------------
% 0.90/1.08 % Proof found
% 0.90/1.08 % SZS status Theorem for theBenchmark
% 0.90/1.08 % SZS output start Proof
% 0.90/1.08 %ClaNum:51(EqnAxiom:22)
% 0.90/1.08 %VarNum:112(SingletonVarNum:39)
% 0.90/1.08 %MaxLitNum:3
% 0.90/1.08 %MaxfuncDepth:2
% 0.90/1.08 %SharedTerms:12
% 0.90/1.08 %goalClause: 23 24 25 26 27 28
% 0.90/1.08 %singleGoalClaCount:6
% 0.90/1.08 [23]P1(a1)
% 0.90/1.08 [24]P2(a1)
% 0.90/1.08 [25]P3(a1)
% 0.90/1.08 [27]P4(a9,a8)
% 0.90/1.08 [28]P4(a10,a8)
% 0.90/1.08 [26]E(f2(a1,a7),a8)
% 0.90/1.08 [29]~E(x291,x292)+P7(x291,x292)
% 0.90/1.08 [30]~E(x301,x302)+P4(x301,x302)
% 0.90/1.08 [32]~P8(x321,x322)+P7(x321,x322)
% 0.90/1.08 [33]~P5(x332,x331)+P8(x331,x332)
% 0.90/1.08 [34]~P5(x341,x342)+P4(x341,x342)
% 0.90/1.08 [35]~P8(x352,x351)+P5(x351,x352)
% 0.90/1.08 [38]~P5(x382,x381)+~P5(x381,x382)
% 0.90/1.08 [39]P1(x391)+P6(x391,f3(x391))+~P6(x391,f4(x391))
% 0.90/1.08 [40]P2(x401)+P6(x401,f5(x401))+~P6(x401,f6(x401))
% 0.90/1.08 [42]P1(x421)+P6(x421,f3(x421))+P7(f2(x421,f4(x421)),a9)
% 0.90/1.08 [43]P2(x431)+P6(x431,f5(x431))+P5(f2(x431,f6(x431)),a10)
% 0.90/1.08 [46]P1(x461)+~P6(x461,f4(x461))+P5(f2(x461,f3(x461)),a9)
% 0.90/1.08 [47]P2(x471)+~P6(x471,f6(x471))+P7(f2(x471,f5(x471)),a10)
% 0.90/1.08 [50]P1(x501)+P7(f2(x501,f4(x501)),a9)+P5(f2(x501,f3(x501)),a9)
% 0.90/1.08 [51]P2(x511)+P7(f2(x511,f5(x511)),a10)+P5(f2(x511,f6(x511)),a10)
% 0.90/1.08 [31]P8(x311,x312)+P5(x311,x312)+E(x311,x312)
% 0.90/1.08 [36]P8(x361,x362)+~P7(x361,x362)+E(x361,x362)
% 0.90/1.08 [37]P5(x371,x372)+~P4(x371,x372)+E(x371,x372)
% 0.90/1.08 [44]~P1(x441)+P6(x441,x442)+~P7(f2(x441,x442),a9)
% 0.90/1.09 [45]~P2(x451)+P6(x451,x452)+~P5(f2(x451,x452),a10)
% 0.90/1.09 [48]~P1(x481)+~P6(x481,x482)+~P5(f2(x481,x482),a9)
% 0.90/1.09 [49]~P2(x491)+~P6(x491,x492)+~P7(f2(x491,x492),a10)
% 0.90/1.09 [41]~P5(x411,x413)+P5(x411,x412)+~P5(x413,x412)
% 0.90/1.09 %EqnAxiom
% 0.90/1.09 [1]E(x11,x11)
% 0.90/1.09 [2]E(x22,x21)+~E(x21,x22)
% 0.90/1.09 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.90/1.09 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.90/1.09 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.90/1.09 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 0.90/1.09 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.90/1.09 [8]~E(x81,x82)+E(f5(x81),f5(x82))
% 0.90/1.09 [9]~E(x91,x92)+E(f6(x91),f6(x92))
% 0.90/1.09 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.90/1.09 [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 0.90/1.09 [12]~P3(x121)+P3(x122)+~E(x121,x122)
% 0.90/1.09 [13]P4(x132,x133)+~E(x131,x132)+~P4(x131,x133)
% 0.90/1.09 [14]P4(x143,x142)+~E(x141,x142)+~P4(x143,x141)
% 0.90/1.09 [15]P6(x152,x153)+~E(x151,x152)+~P6(x151,x153)
% 0.90/1.09 [16]P6(x163,x162)+~E(x161,x162)+~P6(x163,x161)
% 0.90/1.09 [17]P7(x172,x173)+~E(x171,x172)+~P7(x171,x173)
% 0.90/1.09 [18]P7(x183,x182)+~E(x181,x182)+~P7(x183,x181)
% 0.90/1.09 [19]P5(x192,x193)+~E(x191,x192)+~P5(x191,x193)
% 0.90/1.09 [20]P5(x203,x202)+~E(x201,x202)+~P5(x203,x201)
% 0.90/1.09 [21]P8(x212,x213)+~E(x211,x212)+~P8(x211,x213)
% 0.90/1.09 [22]P8(x223,x222)+~E(x221,x222)+~P8(x223,x221)
% 0.90/1.09
% 0.90/1.09 %-------------------------------------------
% 0.90/1.09 cnf(52,plain,
% 0.90/1.09 (P7(x521,x521)),
% 0.90/1.09 inference(equality_inference,[],[29])).
% 0.90/1.09 cnf(53,plain,
% 0.90/1.09 (P4(x531,x531)),
% 0.90/1.09 inference(equality_inference,[],[30])).
% 0.90/1.09 cnf(54,plain,
% 0.90/1.09 (E(a8,f2(a1,a7))),
% 0.90/1.09 inference(scs_inference,[],[26,2])).
% 0.90/1.09 cnf(57,plain,
% 0.90/1.09 (P4(a9,f2(a1,a7))),
% 0.90/1.09 inference(scs_inference,[],[27,26,53,2,13,14])).
% 0.90/1.09 cnf(71,plain,
% 0.90/1.09 (E(f2(a1,a7),a10)+P5(a10,a8)),
% 0.90/1.09 inference(scs_inference,[],[28,26,54,14,37,2,3])).
% 0.90/1.09 cnf(76,plain,
% 0.90/1.09 (E(a9,f2(a1,a7))+P5(a9,f2(a1,a7))),
% 0.90/1.09 inference(scs_inference,[],[26,53,57,14,37])).
% 0.90/1.09 cnf(78,plain,
% 0.90/1.09 (E(f2(a1,a7),a9)+P5(a9,f2(a1,a7))),
% 0.90/1.09 inference(scs_inference,[],[26,53,57,14,37,2])).
% 0.90/1.09 cnf(113,plain,
% 0.90/1.09 (~P8(f2(a1,a7),x1131)+P7(a8,x1131)),
% 0.90/1.09 inference(scs_inference,[],[26,32,17])).
% 0.90/1.09 cnf(144,plain,
% 0.90/1.09 (P8(a8,a10)+E(f2(a1,a7),a10)),
% 0.90/1.09 inference(scs_inference,[],[71,33])).
% 0.90/1.09 cnf(148,plain,
% 0.90/1.09 (~P5(x1481,f2(a1,a7))+P7(a8,x1481)),
% 0.90/1.09 inference(scs_inference,[],[113,33])).
% 0.90/1.09 cnf(173,plain,
% 0.90/1.09 (E(a10,f2(a1,a7))+P8(a8,a10)),
% 0.90/1.09 inference(scs_inference,[],[144,2])).
% 0.90/1.09 cnf(174,plain,
% 0.90/1.09 (E(a9,f2(a1,a7))+P7(a8,a9)),
% 0.90/1.09 inference(scs_inference,[],[148,76])).
% 0.90/1.09 cnf(179,plain,
% 0.90/1.09 (P7(f2(a1,a7),a10)+P8(a8,a10)),
% 0.90/1.09 inference(scs_inference,[],[52,173,17])).
% 0.90/1.09 cnf(180,plain,
% 0.90/1.09 (E(f2(a1,a7),a9)+P7(a8,a9)),
% 0.90/1.09 inference(scs_inference,[],[174,2])).
% 0.90/1.09 cnf(182,plain,
% 0.90/1.09 (P7(a8,a10)+P7(f2(a1,a7),a10)),
% 0.90/1.09 inference(scs_inference,[],[179,32])).
% 0.90/1.09 cnf(184,plain,
% 0.90/1.09 (~P6(a1,a7)+P7(a8,a10)),
% 0.90/1.09 inference(scs_inference,[],[24,182,49])).
% 0.90/1.09 cnf(185,plain,
% 0.90/1.09 (P7(a8,a10)+~P7(f2(a1,a7),a9)),
% 0.90/1.09 inference(scs_inference,[],[23,184,44])).
% 0.90/1.09 cnf(186,plain,
% 0.90/1.09 (~E(f2(a1,a7),a9)+P7(a8,a10)),
% 0.90/1.09 inference(scs_inference,[],[185,29])).
% 0.90/1.09 cnf(187,plain,
% 0.90/1.09 (P5(a9,f2(a1,a7))+P7(a8,a10)),
% 0.90/1.09 inference(scs_inference,[],[186,78])).
% 0.90/1.09 cnf(188,plain,
% 0.90/1.09 (P8(f2(a1,a7),a9)+P7(a8,a10)),
% 0.90/1.09 inference(scs_inference,[],[187,33])).
% 0.90/1.09 cnf(189,plain,
% 0.90/1.09 (P7(a8,a9)+P7(a8,a10)),
% 0.90/1.09 inference(scs_inference,[],[188,113])).
% 0.90/1.09 cnf(190,plain,
% 0.90/1.09 (P7(f2(a1,a7),a9)+P7(a8,a10)),
% 0.90/1.09 inference(scs_inference,[],[54,189,17])).
% 0.90/1.09 cnf(191,plain,
% 0.90/1.09 (P7(a8,a10)),
% 0.90/1.09 inference(scs_inference,[],[190,185])).
% 0.90/1.09 cnf(193,plain,
% 0.90/1.09 (~P6(a1,a7)),
% 0.90/1.09 inference(scs_inference,[],[24,54,191,17,49])).
% 0.90/1.09 cnf(244,plain,
% 0.90/1.09 (~P7(f2(a1,a7),a9)),
% 0.90/1.09 inference(scs_inference,[],[193,23,15,44])).
% 0.90/1.09 cnf(251,plain,
% 0.90/1.09 ($false),
% 0.90/1.09 inference(scs_inference,[],[244,29,78,180,32,33]),
% 0.90/1.09 ['proof']).
% 0.90/1.09 % SZS output end Proof
% 0.90/1.09 % Total time :0.562558s
%------------------------------------------------------------------------------