TSTP Solution File: MGT056+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT056+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:07:05 EDT 2023
% Result : Theorem 0.20s 0.71s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT056+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:29:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 % File :CSE---1.6
% 0.20/0.70 % Problem :theBenchmark
% 0.20/0.70 % Transform :cnf
% 0.20/0.70 % Format :tptp:raw
% 0.20/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.70
% 0.20/0.70 % Result :Theorem 0.090000s
% 0.20/0.70 % Output :CNFRefutation 0.090000s
% 0.20/0.70 %-------------------------------------------
% 0.20/0.71 %--------------------------------------------------------------------------
% 0.20/0.71 % File : MGT056+1 : TPTP v8.1.2. Released v2.4.0.
% 0.20/0.71 % Domain : Management (Organisation Theory)
% 0.20/0.71 % Problem : Conditions for a constant then jumping hazard of mortality 2
% 0.20/0.71 % Version : [Han98] axioms.
% 0.20/0.71 % English : When (`eta' >= `sigma') in a drifting environment, an endowed
% 0.20/0.71 % organization's hazard of mortality remains constant until age
% 0.20/0.71 % `eta' and then jumps to a higher level in a drifting environment.
% 0.20/0.71
% 0.20/0.71 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 0.20/0.71 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 0.20/0.71 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 0.20/0.71 % Source : [Kam00]
% 0.20/0.71 % Names : LEMMA 9 [Han98]
% 0.20/0.71
% 0.20/0.71 % Status : Theorem
% 0.20/0.71 % Rating : 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.20 v6.0.0, 0.13 v5.5.0, 0.22 v5.4.0, 0.25 v5.3.0, 0.30 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.21 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0, 0.07 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0, 0.17 v2.6.0, 0.33 v2.5.0, 0.17 v2.4.0
% 0.20/0.71 % Syntax : Number of formulae : 10 ( 0 unt; 0 def)
% 0.20/0.71 % Number of atoms : 39 ( 6 equ)
% 0.20/0.71 % Maximal formula atoms : 9 ( 3 avg)
% 0.20/0.71 % Number of connectives : 32 ( 3 ~; 4 |; 15 &)
% 0.20/0.71 % ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% 0.20/0.71 % Maximal formula depth : 12 ( 7 avg)
% 0.20/0.71 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.71 % Number of predicates : 8 ( 7 usr; 0 prp; 1-2 aty)
% 0.20/0.71 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 0.20/0.71 % Number of variables : 25 ( 25 !; 0 ?)
% 0.20/0.71 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.71
% 0.20/0.71 % Comments : See MGT042+1.p for the mnemonic names.
% 0.20/0.71 %--------------------------------------------------------------------------
% 0.20/0.71 include('Axioms/MGT001+0.ax').
% 0.20/0.71 %--------------------------------------------------------------------------
% 0.20/0.71 %----Problem Axioms
% 0.20/0.71 %----An endowment provides an immunity that lasts until an
% 0.20/0.71 %----organization's age exceeds `eta'.
% 0.20/0.71 fof(definition_1,axiom,
% 0.20/0.71 ! [X] :
% 0.20/0.71 ( has_endowment(X)
% 0.20/0.71 <=> ! [T] :
% 0.20/0.71 ( organization(X)
% 0.20/0.71 & ( smaller_or_equal(age(X,T),eta)
% 0.20/0.71 => has_immunity(X,T) )
% 0.20/0.71 & ( greater(age(X,T),eta)
% 0.20/0.71 => ~ has_immunity(X,T) ) ) ) ).
% 0.20/0.71
% 0.20/0.71 %----An organization's hazard of mortality is constant during periods
% 0.20/0.71 %----in which it has immunity.
% 0.20/0.71 fof(assumption_2,axiom,
% 0.20/0.71 ! [X,T0,T] :
% 0.20/0.71 ( ( organization(X)
% 0.20/0.71 & has_immunity(X,T0)
% 0.20/0.71 & has_immunity(X,T) )
% 0.20/0.71 => hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ) ).
% 0.20/0.71
% 0.20/0.71 %----An organization's hazard of mortality is lower during periods in
% 0.20/0.71 %----which it has immunity than in periods in which it does not.
% 0.20/0.71 fof(assumption_3,axiom,
% 0.20/0.71 ! [X,T0,T] :
% 0.20/0.71 ( ( organization(X)
% 0.20/0.71 & has_immunity(X,T0)
% 0.20/0.71 & ~ has_immunity(X,T) )
% 0.20/0.71 => greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ).
% 0.20/0.71
% 0.20/0.71 %----Problem theorems
% 0.20/0.71 %----When (`eta' >= `sigma') in a drifting environment, an endowed
% 0.20/0.71 %----organization's hazard of mortality remains constant until age
% 0.20/0.71 %----`eta' and then jumps to a higher level in a drifting environment.
% 0.20/0.71 %----From D1, A2, A3 (text says D1-2, A1-3, 13-16; also needs D<, D<=, D>=,
% 0.20/0.71 %----MP>str, MP>com, MP>tra).
% 0.20/0.71 fof(lemma_9,conjecture,
% 0.20/0.71 ! [X,T0,T1,T2] :
% 0.20/0.71 ( ( organization(X)
% 0.20/0.71 & has_endowment(X)
% 0.20/0.71 & age(X,T0) = zero
% 0.20/0.71 & smaller_or_equal(age(X,T1),eta)
% 0.20/0.71 & greater(age(X,T2),eta)
% 0.20/0.71 & greater_or_equal(eta,sigma)
% 0.20/0.71 & greater(sigma,zero) )
% 0.20/0.71 => ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
% 0.20/0.71 & hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ) ).
% 0.20/0.71
% 0.20/0.71 %--------------------------------------------------------------------------
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 % Proof found
% 0.20/0.71 % SZS status Theorem for theBenchmark
% 0.20/0.71 % SZS output start Proof
% 0.20/0.71 %ClaNum:49(EqnAxiom:21)
% 0.20/0.71 %VarNum:106(SingletonVarNum:38)
% 0.20/0.71 %MaxLitNum:4
% 0.20/0.71 %MaxfuncDepth:2
% 0.20/0.71 %SharedTerms:22
% 0.20/0.71 %goalClause: 22 23 24 25 26 27 28 49
% 0.20/0.71 %singleGoalClaCount:7
% 0.20/0.71 [22]P1(a1)
% 0.20/0.71 [23]P4(a1)
% 0.20/0.71 [25]P2(a7,a10)
% 0.20/0.71 [26]P3(a10,a6)
% 0.20/0.71 [24]E(f2(a1,a5),a6)
% 0.20/0.71 [27]P6(f2(a1,a8),a7)
% 0.20/0.71 [28]P3(f2(a1,a9),a7)
% 0.20/0.71 [49]~P3(f11(a1,a9),f11(a1,a8))+~E(f11(a1,a8),f11(a1,a5))
% 0.20/0.71 [29]~P1(x291)+P4(x291)
% 0.20/0.71 [30]~E(x301,x302)+P6(x301,x302)
% 0.20/0.71 [31]~E(x311,x312)+P2(x311,x312)
% 0.20/0.71 [33]~P7(x331,x332)+P6(x331,x332)
% 0.20/0.71 [34]~P3(x342,x341)+P7(x341,x342)
% 0.20/0.71 [35]~P3(x351,x352)+P2(x351,x352)
% 0.20/0.71 [36]~P7(x362,x361)+P3(x361,x362)
% 0.20/0.71 [39]~P3(x392,x391)+~P3(x391,x392)
% 0.20/0.71 [32]P7(x321,x322)+P3(x321,x322)+E(x321,x322)
% 0.20/0.71 [37]P7(x371,x372)+~P6(x371,x372)+E(x371,x372)
% 0.20/0.71 [38]P3(x381,x382)+~P2(x381,x382)+E(x381,x382)
% 0.20/0.71 [43]~P1(x431)+P5(x431,x432)+~P6(f2(x431,x432),a7)
% 0.20/0.71 [45]~P1(x451)+~P5(x451,x452)+~P3(f2(x451,x452),a7)
% 0.20/0.71 [40]~P3(x401,x403)+P3(x401,x402)+~P3(x403,x402)
% 0.20/0.71 [41]~P4(x411)+P1(x411)+P5(x411,f3(x411))+~P5(x411,f4(x411))
% 0.20/0.71 [44]~P4(x441)+P1(x441)+P5(x441,f3(x441))+P6(f2(x441,f4(x441)),a7)
% 0.20/0.71 [46]~P4(x461)+P1(x461)+~P5(x461,f4(x461))+P3(f2(x461,f3(x461)),a7)
% 0.20/0.71 [48]~P4(x481)+P1(x481)+P6(f2(x481,f4(x481)),a7)+P3(f2(x481,f3(x481)),a7)
% 0.20/0.71 [42]~P4(x421)+~P5(x421,x423)+~P5(x421,x422)+E(f11(x421,x422),f11(x421,x423))
% 0.20/0.71 [47]~P4(x471)+~P5(x471,x473)+P5(x471,x472)+P3(f11(x471,x472),f11(x471,x473))
% 0.20/0.71 %EqnAxiom
% 0.20/0.71 [1]E(x11,x11)
% 0.20/0.71 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.71 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.71 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.20/0.71 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.20/0.71 [6]~E(x61,x62)+E(f11(x61,x63),f11(x62,x63))
% 0.20/0.71 [7]~E(x71,x72)+E(f11(x73,x71),f11(x73,x72))
% 0.20/0.71 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 0.20/0.71 [9]~E(x91,x92)+E(f3(x91),f3(x92))
% 0.20/0.71 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.20/0.71 [11]~P4(x111)+P4(x112)+~E(x111,x112)
% 0.20/0.71 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 0.20/0.71 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 0.20/0.71 [14]P3(x142,x143)+~E(x141,x142)+~P3(x141,x143)
% 0.20/0.71 [15]P3(x153,x152)+~E(x151,x152)+~P3(x153,x151)
% 0.20/0.71 [16]P6(x162,x163)+~E(x161,x162)+~P6(x161,x163)
% 0.20/0.71 [17]P6(x173,x172)+~E(x171,x172)+~P6(x173,x171)
% 0.20/0.71 [18]P5(x182,x183)+~E(x181,x182)+~P5(x181,x183)
% 0.20/0.71 [19]P5(x193,x192)+~E(x191,x192)+~P5(x193,x191)
% 0.20/0.71 [20]P7(x202,x203)+~E(x201,x202)+~P7(x201,x203)
% 0.20/0.71 [21]P7(x213,x212)+~E(x211,x212)+~P7(x213,x211)
% 0.20/0.71
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 cnf(50,plain,
% 0.20/0.71 (E(a6,f2(a1,a5))),
% 0.20/0.71 inference(scs_inference,[],[24,2])).
% 0.20/0.71 cnf(56,plain,
% 0.20/0.71 (~P5(a1,a9)),
% 0.20/0.71 inference(scs_inference,[],[22,26,24,28,2,39,36,15,45])).
% 0.20/0.71 cnf(58,plain,
% 0.20/0.71 (P5(a1,a8)),
% 0.20/0.71 inference(scs_inference,[],[22,26,24,27,28,2,39,36,15,45,43])).
% 0.20/0.71 cnf(62,plain,
% 0.20/0.71 (P7(a6,a10)),
% 0.20/0.71 inference(scs_inference,[],[22,26,24,27,28,2,39,36,15,45,43,35,34])).
% 0.20/0.71 cnf(66,plain,
% 0.20/0.71 (P2(f2(a1,a5),a6)),
% 0.20/0.72 inference(scs_inference,[],[22,26,24,27,28,2,39,36,15,45,43,35,34,33,31])).
% 0.20/0.72 cnf(68,plain,
% 0.20/0.72 (P6(f2(a1,a5),a6)),
% 0.20/0.72 inference(scs_inference,[],[22,26,24,27,28,2,39,36,15,45,43,35,34,33,31,30])).
% 0.20/0.72 cnf(72,plain,
% 0.20/0.72 (E(f11(x721,f2(a1,a5)),f11(x721,a6))),
% 0.20/0.72 inference(scs_inference,[],[22,26,24,27,28,2,39,36,15,45,43,35,34,33,31,30,9,8,7])).
% 0.20/0.72 cnf(73,plain,
% 0.20/0.72 (E(f11(f2(a1,a5),x731),f11(a6,x731))),
% 0.20/0.72 inference(scs_inference,[],[22,26,24,27,28,2,39,36,15,45,43,35,34,33,31,30,9,8,7,6])).
% 0.20/0.72 cnf(75,plain,
% 0.20/0.72 (E(f2(f2(a1,a5),x751),f2(a6,x751))),
% 0.20/0.72 inference(scs_inference,[],[22,26,24,27,28,2,39,36,15,45,43,35,34,33,31,30,9,8,7,6,5,4])).
% 0.20/0.72 cnf(79,plain,
% 0.20/0.72 (~P3(f2(a1,a5),a10)),
% 0.20/0.72 inference(scs_inference,[],[22,26,24,27,28,2,39,36,15,45,43,35,34,33,31,30,9,8,7,6,5,4,21,20,19,14])).
% 0.20/0.72 cnf(80,plain,
% 0.20/0.72 (P3(f11(a1,a9),f11(a1,a8))),
% 0.20/0.72 inference(scs_inference,[],[22,23,26,24,27,28,2,39,36,15,45,43,35,34,33,31,30,9,8,7,6,5,4,21,20,19,14,47])).
% 0.20/0.72 cnf(82,plain,
% 0.20/0.72 (~E(f11(a1,a8),f11(a1,a5))),
% 0.20/0.72 inference(scs_inference,[],[22,23,26,24,27,28,2,39,36,15,45,43,35,34,33,31,30,9,8,7,6,5,4,21,20,19,14,47,49])).
% 0.20/0.72 cnf(89,plain,
% 0.20/0.72 (~P3(x891,a10)+~P3(a6,x891)),
% 0.20/0.72 inference(scs_inference,[],[22,23,26,24,27,28,2,39,36,15,45,43,35,34,33,31,30,9,8,7,6,5,4,21,20,19,14,47,49,18,17,16,13,12,3,40])).
% 0.20/0.72 cnf(101,plain,
% 0.20/0.72 (~P5(a1,a5)),
% 0.20/0.72 inference(scs_inference,[],[23,82,58,42])).
% 0.20/0.72 cnf(109,plain,
% 0.20/0.72 (~E(f2(a1,a9),a7)),
% 0.20/0.72 inference(scs_inference,[],[22,23,28,82,56,58,42,39,45,43,30])).
% 0.20/0.72 cnf(112,plain,
% 0.20/0.72 (~E(f2(a1,a8),f2(a1,a9))),
% 0.20/0.72 inference(scs_inference,[],[22,23,27,28,82,56,58,42,39,45,43,30,7,16])).
% 0.20/0.72 cnf(118,plain,
% 0.20/0.72 (~P3(f2(a1,a8),f2(a1,a9))),
% 0.20/0.72 inference(scs_inference,[],[22,23,27,28,24,72,73,50,66,82,56,58,42,39,45,43,30,7,16,13,12,3,40])).
% 0.20/0.72 cnf(120,plain,
% 0.20/0.72 (P7(f2(a1,a8),f2(a1,a9))),
% 0.20/0.72 inference(scs_inference,[],[22,23,27,28,24,72,73,50,66,82,56,58,42,39,45,43,30,7,16,13,12,3,40,32])).
% 0.20/0.72 cnf(124,plain,
% 0.20/0.72 (~E(f11(a1,a5),f11(a1,a8))),
% 0.20/0.72 inference(scs_inference,[],[22,23,27,28,24,72,73,50,66,82,56,58,42,39,45,43,30,7,16,13,12,3,40,32,36,2])).
% 0.20/0.72 cnf(125,plain,
% 0.20/0.72 (P7(f2(a1,a5),a10)),
% 0.20/0.72 inference(scs_inference,[],[22,23,27,28,24,72,73,50,66,82,56,58,62,42,39,45,43,30,7,16,13,12,3,40,32,36,2,20])).
% 0.20/0.72 cnf(126,plain,
% 0.20/0.72 (P6(f2(a1,a5),f2(a1,a5))),
% 0.20/0.72 inference(scs_inference,[],[22,23,27,28,24,72,73,50,66,68,82,56,58,62,42,39,45,43,30,7,16,13,12,3,40,32,36,2,20,17])).
% 0.20/0.72 cnf(130,plain,
% 0.20/0.72 (P3(f11(a1,a5),f11(a1,a8))),
% 0.20/0.72 inference(scs_inference,[],[22,23,27,28,24,72,73,50,66,68,82,56,58,62,42,39,45,43,30,7,16,13,12,3,40,32,36,2,20,17,11,33,47])).
% 0.20/0.72 cnf(133,plain,
% 0.20/0.72 (E(a7,a10)+P3(a7,a10)),
% 0.20/0.72 inference(scs_inference,[],[22,25,23,27,28,24,72,73,50,66,68,82,56,58,62,42,39,45,43,30,7,16,13,12,3,40,32,36,2,20,17,11,33,47,14,38])).
% 0.20/0.72 cnf(151,plain,
% 0.20/0.72 (~P6(f2(a1,a5),a7)),
% 0.20/0.72 inference(scs_inference,[],[50,80,118,112,101,22,39,38,30,43])).
% 0.20/0.72 cnf(156,plain,
% 0.20/0.72 (E(f2(x1561,a6),f2(x1561,f2(a1,a5)))),
% 0.20/0.72 inference(scs_inference,[],[50,80,120,118,112,101,22,39,38,30,43,33,7,5])).
% 0.20/0.72 cnf(159,plain,
% 0.20/0.72 (E(f2(a6,x1591),f2(f2(a1,a5),x1591))),
% 0.20/0.72 inference(scs_inference,[],[50,80,120,118,112,75,101,22,39,38,30,43,33,7,5,36,2])).
% 0.20/0.72 cnf(160,plain,
% 0.20/0.72 (~E(f2(a1,a5),a7)),
% 0.20/0.72 inference(scs_inference,[],[50,80,120,118,112,75,126,101,22,39,38,30,43,33,7,5,36,2,17])).
% 0.20/0.72 cnf(161,plain,
% 0.20/0.72 (~E(a6,a7)),
% 0.20/0.72 inference(scs_inference,[],[50,24,80,120,118,112,75,126,101,22,39,38,30,43,33,7,5,36,2,17,3])).
% 0.20/0.72 cnf(192,plain,
% 0.20/0.72 (E(f2(a6,a6),f2(f2(a1,a5),f2(a1,a5)))),
% 0.20/0.72 inference(scs_inference,[],[130,156,159,124,109,151,160,125,33,39,32,7,2,21,3])).
% 0.20/0.72 cnf(195,plain,
% 0.20/0.72 (~P7(a6,a7)),
% 0.20/0.72 inference(scs_inference,[],[50,130,156,159,124,109,151,160,125,33,39,32,7,2,21,3,20])).
% 0.20/0.72 cnf(197,plain,
% 0.20/0.72 (P3(a7,a10)),
% 0.20/0.72 inference(scs_inference,[],[50,130,156,159,124,109,151,160,79,125,33,39,32,7,2,21,3,20,15,133])).
% 0.20/0.72 cnf(198,plain,
% 0.20/0.72 (~P3(a6,a7)),
% 0.20/0.72 inference(scs_inference,[],[50,130,156,159,124,109,151,160,79,125,33,39,32,7,2,21,3,20,15,133,89])).
% 0.20/0.72 cnf(233,plain,
% 0.20/0.72 ($false),
% 0.20/0.72 inference(scs_inference,[],[28,161,197,192,198,195,38,34,39,33,30,40,32]),
% 0.20/0.72 ['proof']).
% 0.20/0.72 % SZS output end Proof
% 0.20/0.72 % Total time :0.090000s
%------------------------------------------------------------------------------