%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT059+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 : n004.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 0.45s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT059+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
% 0.09/0.33 % Computer : n004.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8046.5625MB
% 0.09/0.33 % OS : Linux 6.8.0-71-generic
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Mon Sep 7 13:33:00 UTC 2026
% 0.09/0.33 % CPUTime :
% 0.11/0.43 start to proof:theBenchmark
% 0.37/0.62 %-------------------------------------------
% 0.37/0.62 % File :CSE---1.7
% 0.37/0.62 % Problem :theBenchmark
% 0.37/0.62 % Transform :cnf
% 0.37/0.62 % Format :tptp:raw
% 0.37/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.37/0.62
% 0.37/0.62 % Result :Theorem 0.190710s
% 0.37/0.62 % Output :CNFRefutation 0.190710s
% 0.37/0.62 %-------------------------------------------
% 0.37/0.63 %--------------------------------------------------------------------------
% 0.37/0.63 % File : MGT059+1 : TPTP v9.3.0. Released v2.4.0.
% 0.37/0.63 % Domain : Management (Organisation Theory)
% 0.37/0.63 % Problem : Hazard of mortality is constant during periods of immunity
% 0.37/0.63 % Version : [Han98] axioms.
% 0.37/0.63 % English : An organization's hazard of mortality is constant during periods
% 0.37/0.63 % in which it has immunity.
% 0.37/0.63
% 0.37/0.63 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 0.37/0.63 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 0.37/0.63 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 0.37/0.63 % Source : [Kam00]
% 0.37/0.63 % Names : ASSUMPTION 2 [Han98]
% 0.37/0.63
% 0.37/0.63 % Status : Theorem
% 0.37/0.63 % Rating : 0.04 v9.3.0, 0.06 v9.1.0, 0.03 v9.0.0, 0.06 v8.1.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.07 v5.4.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.04 v3.7.0, 0.00 v2.4.0
% 0.37/0.63 % Syntax : Number of formulae : 8 ( 0 unt; 0 def)
% 0.37/0.63 % Number of atoms : 36 ( 9 equ)
% 0.37/0.63 % Maximal formula atoms : 16 ( 4 avg)
% 0.37/0.63 % Number of connectives : 34 ( 6 ~; 4 |; 12 &)
% 0.37/0.63 % ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% 0.37/0.63 % Maximal formula depth : 12 ( 6 avg)
% 0.37/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.45/0.63 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty)
% 0.45/0.63 % Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% 0.45/0.63 % Number of variables : 18 ( 18 !; 0 ?)
% 0.45/0.63 % SPC : FOF_THM_RFO_SEQ
% 0.45/0.63
% 0.45/0.63 % Comments : See MGT042+1.p for the mnemonic names.
% 0.45/0.63 %--------------------------------------------------------------------------
% 0.45/0.63 include('Axioms/MGT001+0.ax').
% 0.45/0.63 %--------------------------------------------------------------------------
% 0.45/0.63 %----Problem Axioms
% 0.45/0.63 %----An organization's immunity. alignment of capability with the
% 0.45/0.63 %----current state of the environment and positional advantage jointly
% 0.45/0.63 %----affect the hazard of mortality with the following ordinal scaling:
% 0.45/0.63 fof(assumption_17,axiom,
% 0.45/0.63 ! [X,T] :
% 0.45/0.63 ( organization(X)
% 0.45/0.63 => ( ( has_immunity(X,T)
% 0.45/0.63 => hazard_of_mortality(X,T) = very_low )
% 0.45/0.63 & ( ~ has_immunity(X,T)
% 0.45/0.63 => ( ( ( is_aligned(X,T)
% 0.45/0.63 & positional_advantage(X,T) )
% 0.45/0.63 => hazard_of_mortality(X,T) = low )
% 0.45/0.63 & ( ( ~ is_aligned(X,T)
% 0.45/0.63 & positional_advantage(X,T) )
% 0.45/0.63 => hazard_of_mortality(X,T) = mod1 )
% 0.45/0.63 & ( ( is_aligned(X,T)
% 0.45/0.63 & ~ positional_advantage(X,T) )
% 0.45/0.63 => hazard_of_mortality(X,T) = mod2 )
% 0.45/0.63 & ( ( ~ is_aligned(X,T)
% 0.45/0.63 & ~ positional_advantage(X,T) )
% 0.45/0.63 => hazard_of_mortality(X,T) = high ) ) ) ) ) ).
% 0.45/0.63
% 0.45/0.63 %----Problem theorems
% 0.45/0.63 %----Text says on p.152 ``These assumptions [A17,A18] have the same effect
% 0.45/0.63 %---- as assumptions 2 and 3 in the formalization used in section III.''
% 0.45/0.63 %----This is indeed the case for these assumptions are now derivable.
% 0.45/0.63 %----A2 from A17 (no inequalities needed).
% 0.45/0.63 %----
% 0.45/0.63 %----An organization's hazard of mortality is constant during periods
% 0.45/0.63 %----in which it has immunity.
% 0.45/0.63 fof(assumption_2,conjecture,
% 0.45/0.63 ! [X,T0,T] :
% 0.45/0.63 ( ( organization(X)
% 0.45/0.63 & has_immunity(X,T0)
% 0.45/0.63 & has_immunity(X,T) )
% 0.45/0.63 => hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ) ).
% 0.45/0.63
% 0.45/0.63 %--------------------------------------------------------------------------
% 0.45/0.63 %-------------------------------------------
% 0.45/0.63 % Proof found
% 0.45/0.63 % SZS status Theorem for theBenchmark
% 0.45/0.63 % SZS output start Proof
% 0.45/0.63 %ClaNum:43(EqnAxiom:22)
% 0.45/0.63 %VarNum:94(SingletonVarNum:35)
% 0.45/0.63 %MaxLitNum:4
% 0.45/0.63 %MaxfuncDepth:1
% 0.45/0.63 %SharedTerms:14
% 0.45/0.63 %goalClause: 23 24 25 26
% 0.45/0.63 %singleGoalClaCount:4
% 0.45/0.63 [23]P1(a1)
% 0.45/0.63 [24]P2(a1,a2)
% 0.45/0.63 [25]P2(a1,a3)
% 0.45/0.63 [26]~E(f4(a1,a3),f4(a1,a2))
% 0.45/0.63 [27]~E(x271,x272)+P7(x271,x272)
% 0.45/0.63 [28]~E(x281,x282)+P3(x281,x282)
% 0.45/0.63 [31]~P8(x311,x312)+P7(x311,x312)
% 0.45/0.63 [32]~P4(x322,x321)+P8(x321,x322)
% 0.45/0.63 [33]~P4(x331,x332)+P3(x331,x332)
% 0.45/0.63 [34]~P8(x342,x341)+P4(x341,x342)
% 0.45/0.63 [38]~P4(x382,x381)+~P4(x381,x382)
% 0.45/0.63 [29]P8(x291,x292)+P4(x291,x292)+E(x291,x292)
% 0.45/0.63 [30]P5(x301,x302)+~P1(x301)+P2(x301,x302)
% 0.45/0.63 [35]P8(x351,x352)+~P7(x351,x352)+E(x351,x352)
% 0.45/0.63 [36]P4(x361,x362)+~P3(x361,x362)+E(x361,x362)
% 0.45/0.63 [37]~P1(x371)+~P2(x371,x372)+E(f4(x371,x372),a5)
% 0.45/0.63 [39]~P4(x391,x393)+P4(x391,x392)+~P4(x393,x392)
% 0.45/0.63 [40]P6(x401,x402)+P9(x401,x402)+~P5(x401,x402)+E(f4(x401,x402),a6)
% 0.45/0.63 [41]P6(x411,x412)+~P9(x411,x412)+~P5(x411,x412)+E(f4(x411,x412),a7)
% 0.45/0.63 [42]P9(x421,x422)+~P6(x421,x422)+~P5(x421,x422)+E(f4(x421,x422),a9)
% 0.45/0.63 [43]~P6(x431,x432)+~P9(x431,x432)+~P5(x431,x432)+E(f4(x431,x432),a8)
% 0.45/0.63 %EqnAxiom
% 0.45/0.63 [1]E(x11,x11)
% 0.45/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.45/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.45/0.63 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.45/0.63 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.45/0.63 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 0.45/0.63 [7]P2(x72,x73)+~E(x71,x72)+~P2(x71,x73)
% 0.45/0.63 [8]P2(x83,x82)+~E(x81,x82)+~P2(x83,x81)
% 0.45/0.63 [9]P6(x92,x93)+~E(x91,x92)+~P6(x91,x93)
% 0.45/0.63 [10]P6(x103,x102)+~E(x101,x102)+~P6(x103,x101)
% 0.45/0.63 [11]P7(x112,x113)+~E(x111,x112)+~P7(x111,x113)
% 0.45/0.63 [12]P7(x123,x122)+~E(x121,x122)+~P7(x123,x121)
% 0.45/0.63 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 0.45/0.63 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 0.45/0.63 [15]P8(x152,x153)+~E(x151,x152)+~P8(x151,x153)
% 0.45/0.63 [16]P8(x163,x162)+~E(x161,x162)+~P8(x163,x161)
% 0.45/0.63 [17]P4(x172,x173)+~E(x171,x172)+~P4(x171,x173)
% 0.45/0.63 [18]P4(x183,x182)+~E(x181,x182)+~P4(x183,x181)
% 0.45/0.63 [19]P5(x192,x193)+~E(x191,x192)+~P5(x191,x193)
% 0.45/0.63 [20]P5(x203,x202)+~E(x201,x202)+~P5(x203,x201)
% 0.45/0.63 [21]P9(x212,x213)+~E(x211,x212)+~P9(x211,x213)
% 0.45/0.63 [22]P9(x223,x222)+~E(x221,x222)+~P9(x223,x221)
% 0.45/0.63
% 0.45/0.63 %-------------------------------------------
% 0.45/0.63 cnf(44,plain,
% 0.45/0.63 (P7(x441,x441)),
% 0.45/0.63 inference(equality_inference,[],[27])).
% 0.45/0.63 cnf(45,plain,
% 0.45/0.63 (P3(x451,x451)),
% 0.45/0.63 inference(equality_inference,[],[28])).
% 0.45/0.63 cnf(51,plain,
% 0.45/0.63 (P7(x511,x512)+~E(x512,x511)),
% 0.45/0.63 inference(scs_inference,[],[23,24,26,44,5,30,7,8,11])).
% 0.45/0.63 cnf(57,plain,
% 0.45/0.63 (P4(f4(a1,a3),f4(a1,a2))+~E(f4(a1,a2),f4(a1,a3))),
% 0.45/0.63 inference(scs_inference,[],[26,45,13,36])).
% 0.45/0.63 cnf(70,plain,
% 0.45/0.63 (~P4(f4(a1,a2),f4(a1,a3))+~E(f4(a1,a2),f4(a1,a3))),
% 0.45/0.63 inference(scs_inference,[],[38,57])).
% 0.45/0.63 cnf(93,plain,
% 0.45/0.63 (~E(x931,f4(a1,a3))+~E(f4(a1,a2),x931)+~P4(f4(a1,a2),f4(a1,a3))),
% 0.45/0.63 inference(scs_inference,[],[70,3])).
% 0.45/0.63 cnf(118,plain,
% 0.45/0.63 (~E(a5,f4(a1,a3))+~P4(f4(a1,a2),f4(a1,a3))),
% 0.45/0.63 inference(scs_inference,[],[23,24,93,37])).
% 0.45/0.63 cnf(119,plain,
% 0.45/0.63 (~P8(f4(a1,a3),f4(a1,a2))+~E(a5,f4(a1,a3))),
% 0.45/0.63 inference(scs_inference,[],[118,34])).
% 0.45/0.63 cnf(120,plain,
% 0.45/0.63 (P4(f4(a1,a3),f4(a1,a2))+~E(a5,f4(a1,a3))),
% 0.45/0.63 inference(scs_inference,[],[26,119,29])).
% 0.45/0.63 cnf(121,plain,
% 0.45/0.63 (P3(f4(a1,a3),f4(a1,a2))+~E(a5,f4(a1,a3))),
% 0.45/0.63 inference(scs_inference,[],[120,33])).
% 0.45/0.63 cnf(122,plain,
% 0.45/0.63 (~E(f4(a1,a3),a5)+P3(f4(a1,a3),f4(a1,a2))),
% 0.45/0.63 inference(scs_inference,[],[121,2])).
% 0.45/0.63 cnf(123,plain,
% 0.45/0.63 (P4(f4(a1,a3),f4(a1,a2))+~E(f4(a1,a3),a5)),
% 0.45/0.63 inference(scs_inference,[],[26,122,36])).
% 0.45/0.63 cnf(124,plain,
% 0.45/0.63 (~P4(f4(a1,a2),f4(a1,a3))+~E(f4(a1,a3),a5)),
% 0.45/0.63 inference(scs_inference,[],[123,38])).
% 0.45/0.63 cnf(125,plain,
% 0.45/0.63 (~P8(f4(a1,a3),f4(a1,a2))+~E(f4(a1,a3),a5)),
% 0.45/0.63 inference(scs_inference,[],[124,34])).
% 0.45/0.63 cnf(126,plain,
% 0.45/0.63 (~P7(f4(a1,a3),f4(a1,a2))+~E(f4(a1,a3),a5)),
% 0.45/0.63 inference(scs_inference,[],[26,125,35])).
% 0.45/0.63 cnf(127,plain,
% 0.45/0.63 (~E(f4(a1,a2),f4(a1,a3))+~E(f4(a1,a3),a5)),
% 0.45/0.63 inference(scs_inference,[],[126,51])).
% 0.45/0.63 cnf(128,plain,
% 0.45/0.63 (~E(x1281,f4(a1,a3))+~E(f4(a1,a2),x1281)+~E(f4(a1,a3),a5)),
% 0.45/0.63 inference(scs_inference,[],[127,3])).
% 0.45/0.63 cnf(129,plain,
% 0.45/0.63 (~E(a5,f4(a1,a3))+~E(f4(a1,a3),a5)),
% 0.45/0.63 inference(scs_inference,[],[23,24,128,37])).
% 0.45/0.63 cnf(130,plain,
% 0.45/0.63 (~E(f4(a1,a3),a5)),
% 0.45/0.63 inference(scs_inference,[],[129,2])).
% 0.45/0.63 cnf(131,plain,
% 0.45/0.63 ($false),
% 0.45/0.63 inference(scs_inference,[],[25,23,130,37]),
% 0.45/0.63 ['proof']).
% 0.45/0.63 % SZS output end Proof
% 0.45/0.63 % Total time :0.190710s
%------------------------------------------------------------------------------