TSTP Solution File: MGT050-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT050-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 09:07:03 EDT 2023
% Result : Unsatisfiable 0.56s 0.76s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT050-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 06:35:10 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.56/0.60 start to proof:theBenchmark
% 0.56/0.75 %-------------------------------------------
% 0.56/0.75 % File :CSE---1.6
% 0.56/0.75 % Problem :theBenchmark
% 0.56/0.75 % Transform :cnf
% 0.56/0.75 % Format :tptp:raw
% 0.56/0.75 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.75
% 0.56/0.75 % Result :Theorem 0.100000s
% 0.56/0.75 % Output :CNFRefutation 0.100000s
% 0.56/0.75 %-------------------------------------------
% 0.56/0.75 %--------------------------------------------------------------------------
% 0.56/0.75 % File : MGT050-1 : TPTP v8.1.2. Released v2.4.0.
% 0.56/0.75 % Domain : Management (Organisation Theory)
% 0.56/0.75 % Problem : Unendowed organization's hazard of mortality increases with age
% 0.56/0.75 % Version : [Han98] axioms.
% 0.56/0.75 % English : An unendowed organization's hazard of mortality increases with
% 0.56/0.75 % its age.
% 0.56/0.75
% 0.56/0.75 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 0.56/0.75 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 0.56/0.75 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 0.56/0.75 % Source : [TPTP]
% 0.56/0.75 % Names :
% 0.56/0.76
% 0.56/0.76 % Status : Unsatisfiable
% 0.56/0.76 % Rating : 0.05 v8.1.0, 0.00 v7.3.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.25 v5.4.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.23 v4.0.1, 0.18 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.08 v3.3.0, 0.21 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.33 v2.5.0, 0.22 v2.4.0
% 0.56/0.76 % Syntax : Number of clauses : 27 ( 4 unt; 6 nHn; 24 RR)
% 0.56/0.76 % Number of literals : 76 ( 15 equ; 42 neg)
% 0.56/0.76 % Maximal clause size : 6 ( 2 avg)
% 0.56/0.76 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.76 % Number of predicates : 8 ( 7 usr; 0 prp; 1-2 aty)
% 0.56/0.76 % Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% 0.56/0.76 % Number of variables : 58 ( 5 sgn)
% 0.56/0.76 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.56/0.76
% 0.56/0.76 % Comments : See MGT042+1.p for the mnemonic names.
% 0.56/0.76 % : Created with tptp2X -f tptp -t clausify:otter MGT050+1.p
% 0.56/0.76 %--------------------------------------------------------------------------
% 0.56/0.76 include('Axioms/MGT001-0.ax').
% 0.56/0.76 %--------------------------------------------------------------------------
% 0.56/0.76 cnf(assumption_1_41,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | has_endowment(A)
% 0.56/0.76 | ~ has_immunity(A,B) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_4_42,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | has_immunity(A,B)
% 0.56/0.76 | has_immunity(A,C)
% 0.56/0.76 | ~ greater(capability(A,C),capability(A,B))
% 0.56/0.76 | ~ greater_or_equal(position(A,C),position(A,B))
% 0.56/0.76 | smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_4_43,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | has_immunity(A,B)
% 0.56/0.76 | has_immunity(A,C)
% 0.56/0.76 | ~ greater_or_equal(capability(A,C),capability(A,B))
% 0.56/0.76 | ~ greater(position(A,C),position(A,B))
% 0.56/0.76 | smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_4_44,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | has_immunity(A,B)
% 0.56/0.76 | has_immunity(A,C)
% 0.56/0.76 | capability(A,C) != capability(A,B)
% 0.56/0.76 | position(A,C) != position(A,B)
% 0.56/0.76 | hazard_of_mortality(A,C) = hazard_of_mortality(A,B) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_5_45,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
% 0.56/0.76 | ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
% 0.56/0.76 | greater(capability(A,B),capability(A,C)) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_5_46,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
% 0.56/0.76 | ~ greater(internal_friction(A,B),internal_friction(A,C))
% 0.56/0.76 | smaller(capability(A,B),capability(A,C)) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_5_47,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | stock_of_knowledge(A,B) != stock_of_knowledge(A,C)
% 0.56/0.76 | internal_friction(A,B) != internal_friction(A,C)
% 0.56/0.76 | capability(A,B) = capability(A,C) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_6_48,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | ~ greater(external_ties(A,B),external_ties(A,C))
% 0.56/0.76 | greater(position(A,B),position(A,C)) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_6_49,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | external_ties(A,B) != external_ties(A,C)
% 0.56/0.76 | position(A,B) = position(A,C) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_10_50,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_11_51,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | external_ties(A,B) = external_ties(A,C) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(assumption_12_52,axiom,
% 0.56/0.76 ( ~ organization(A)
% 0.56/0.76 | ~ greater(age(A,B),age(A,C))
% 0.56/0.76 | greater(internal_friction(A,B),internal_friction(A,C)) ) ).
% 0.56/0.76
% 0.56/0.76 cnf(theorem_3_53,negated_conjecture,
% 0.56/0.76 organization(sk1) ).
% 0.56/0.76
% 0.56/0.76 cnf(theorem_3_54,negated_conjecture,
% 0.56/0.76 ~ has_endowment(sk1) ).
% 0.56/0.76
% 0.56/0.76 cnf(theorem_3_55,negated_conjecture,
% 0.56/0.76 greater(age(sk1,sk3),age(sk1,sk2)) ).
% 0.56/0.76
% 0.56/0.76 cnf(theorem_3_56,negated_conjecture,
% 0.56/0.76 ~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ).
% 0.56/0.76
% 0.56/0.76 %--------------------------------------------------------------------------
% 0.56/0.76 %-------------------------------------------
% 0.56/0.76 % Proof found
% 0.56/0.76 % SZS status Theorem for theBenchmark
% 0.56/0.76 % SZS output start Proof
% 0.56/0.76 %ClaNum:56(EqnAxiom:29)
% 0.56/0.76 %VarNum:183(SingletonVarNum:58)
% 0.56/0.76 %MaxLitNum:6
% 0.56/0.76 %MaxfuncDepth:1
% 0.56/0.76 %SharedTerms:11
% 0.56/0.76 %goalClause: 30 31 32 33
% 0.56/0.76 %singleGoalClaCount:4
% 0.56/0.76 [30]P1(a1)
% 0.56/0.76 [32]~P3(a1)
% 0.56/0.76 [31]P2(f2(a1,a8),f2(a1,a9))
% 0.56/0.76 [33]~P2(f3(a1,a8),f3(a1,a9))
% 0.56/0.76 [34]~E(x341,x342)+P6(x341,x342)
% 0.56/0.76 [35]~E(x351,x352)+P4(x351,x352)
% 0.56/0.76 [40]~P7(x401,x402)+P6(x401,x402)
% 0.56/0.76 [41]~P2(x412,x411)+P7(x411,x412)
% 0.56/0.76 [42]~P2(x421,x422)+P4(x421,x422)
% 0.56/0.76 [43]~P7(x432,x431)+P2(x431,x432)
% 0.56/0.76 [46]~P2(x462,x461)+~P2(x461,x462)
% 0.56/0.76 [38]~P1(x381)+E(f10(x381,x382),f10(x381,x383))
% 0.56/0.76 [39]~P1(x391)+E(f4(x391,x392),f4(x391,x393))
% 0.56/0.76 [36]P7(x361,x362)+P2(x361,x362)+E(x361,x362)
% 0.56/0.76 [37]~P1(x371)+P3(x371)+~P5(x371,x372)
% 0.56/0.76 [44]P7(x441,x442)+~P6(x441,x442)+E(x441,x442)
% 0.56/0.76 [45]P2(x451,x452)+~P4(x451,x452)+E(x451,x452)
% 0.56/0.76 [47]~P2(x471,x473)+P2(x471,x472)+~P2(x473,x472)
% 0.56/0.76 [48]~P1(x481)+~E(f4(x481,x482),f4(x481,x483))+E(f6(x481,x482),f6(x481,x483))
% 0.56/0.76 [51]~P1(x511)+~P2(f4(x511,x512),f4(x511,x513))+P2(f6(x511,x512),f6(x511,x513))
% 0.56/0.76 [52]~P1(x521)+~P2(f2(x521,x522),f2(x521,x523))+P2(f7(x521,x522),f7(x521,x523))
% 0.56/0.76 [49]~P1(x491)+~E(f10(x491,x492),f10(x491,x493))+~E(f7(x491,x492),f7(x491,x493))+E(f5(x491,x492),f5(x491,x493))
% 0.56/0.76 [53]~P1(x531)+~P6(f10(x531,x532),f10(x531,x533))+~P2(f7(x531,x532),f7(x531,x533))+P7(f5(x531,x532),f5(x531,x533))
% 0.56/0.76 [54]~P1(x541)+~P6(f7(x541,x542),f7(x541,x543))+~P2(f10(x541,x542),f10(x541,x543))+P2(f5(x541,x542),f5(x541,x543))
% 0.56/0.76 [50]P5(x501,x503)+P5(x501,x502)+~P1(x501)+~E(f5(x501,x502),f5(x501,x503))+~E(f6(x501,x502),f6(x501,x503))+E(f3(x501,x502),f3(x501,x503))
% 0.56/0.76 [55]~P1(x551)+P5(x551,x552)+P5(x551,x553)+P7(f3(x551,x552),f3(x551,x553))+~P4(f5(x551,x552),f5(x551,x553))+~P2(f6(x551,x552),f6(x551,x553))
% 0.56/0.76 [56]~P1(x561)+P5(x561,x562)+P5(x561,x563)+P7(f3(x561,x562),f3(x561,x563))+~P4(f6(x561,x562),f6(x561,x563))+~P2(f5(x561,x562),f5(x561,x563))
% 0.56/0.76 %EqnAxiom
% 0.56/0.76 [1]E(x11,x11)
% 0.56/0.76 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.76 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.56/0.76 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.56/0.76 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.56/0.76 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.56/0.76 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 0.56/0.76 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 0.56/0.76 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103))
% 0.56/0.76 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112))
% 0.56/0.76 [12]~E(x121,x122)+E(f10(x121,x123),f10(x122,x123))
% 0.56/0.76 [13]~E(x131,x132)+E(f10(x133,x131),f10(x133,x132))
% 0.56/0.76 [14]~E(x141,x142)+E(f4(x141,x143),f4(x142,x143))
% 0.56/0.76 [15]~E(x151,x152)+E(f4(x153,x151),f4(x153,x152))
% 0.56/0.76 [16]~E(x161,x162)+E(f6(x161,x163),f6(x162,x163))
% 0.56/0.76 [17]~E(x171,x172)+E(f6(x173,x171),f6(x173,x172))
% 0.56/0.76 [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 0.56/0.76 [19]P2(x192,x193)+~E(x191,x192)+~P2(x191,x193)
% 0.56/0.76 [20]P2(x203,x202)+~E(x201,x202)+~P2(x203,x201)
% 0.56/0.76 [21]~P3(x211)+P3(x212)+~E(x211,x212)
% 0.56/0.76 [22]P6(x222,x223)+~E(x221,x222)+~P6(x221,x223)
% 0.56/0.76 [23]P6(x233,x232)+~E(x231,x232)+~P6(x233,x231)
% 0.56/0.76 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 0.56/0.76 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 0.56/0.76 [26]P4(x262,x263)+~E(x261,x262)+~P4(x261,x263)
% 0.56/0.76 [27]P4(x273,x272)+~E(x271,x272)+~P4(x273,x271)
% 0.56/0.76 [28]P7(x282,x283)+~E(x281,x282)+~P7(x281,x283)
% 0.56/0.76 [29]P7(x293,x292)+~E(x291,x292)+~P7(x293,x291)
% 0.56/0.76
% 0.59/0.76 %-------------------------------------------
% 0.59/0.76 cnf(58,plain,
% 0.59/0.76 (~P7(f3(a1,a9),f3(a1,a8))),
% 0.59/0.76 inference(scs_inference,[],[31,33,46,43])).
% 0.59/0.76 cnf(59,plain,
% 0.59/0.76 (~P5(a1,x591)),
% 0.59/0.76 inference(scs_inference,[],[30,32,31,33,46,43,37])).
% 0.59/0.76 cnf(67,plain,
% 0.59/0.76 (E(f4(a1,x671),f4(a1,x672))),
% 0.59/0.76 inference(scs_inference,[],[30,32,31,33,46,43,37,42,41,40,39])).
% 0.59/0.76 cnf(69,plain,
% 0.59/0.76 (E(f10(a1,x691),f10(a1,x692))),
% 0.59/0.76 inference(scs_inference,[],[30,32,31,33,46,43,37,42,41,40,39,38])).
% 0.59/0.76 cnf(98,plain,
% 0.59/0.76 (P2(f7(a1,a8),f7(a1,a9))),
% 0.59/0.76 inference(scs_inference,[],[30,31,67,35,34,52])).
% 0.59/0.76 cnf(100,plain,
% 0.59/0.76 (E(f6(a1,x1001),f6(a1,x1002))),
% 0.59/0.76 inference(scs_inference,[],[30,31,67,35,34,52,48])).
% 0.59/0.76 cnf(185,plain,
% 0.59/0.76 (P4(f6(a1,x1851),f6(a1,x1852))),
% 0.59/0.76 inference(scs_inference,[],[100,98,42,35])).
% 0.59/0.76 cnf(189,plain,
% 0.59/0.76 (P7(f7(a1,a9),f7(a1,a8))),
% 0.59/0.76 inference(scs_inference,[],[100,98,30,42,35,53,41])).
% 0.59/0.76 cnf(191,plain,
% 0.59/0.76 (E(f10(a1,x1911),f10(a1,x1912))),
% 0.59/0.76 inference(rename_variables,[],[69])).
% 0.59/0.76 cnf(193,plain,
% 0.59/0.76 (E(f10(a1,x1931),f10(a1,x1932))),
% 0.59/0.76 inference(rename_variables,[],[69])).
% 0.59/0.76 cnf(194,plain,
% 0.59/0.76 (~P6(f10(a1,x1941),f10(a1,a9))+P7(f5(a1,a8),f5(a1,a9))),
% 0.59/0.76 inference(scs_inference,[],[100,98,69,191,193,30,42,35,53,41,34,23,22])).
% 0.59/0.76 cnf(228,plain,
% 0.59/0.76 (P7(f5(a1,a8),f5(a1,a9))),
% 0.59/0.76 inference(scs_inference,[],[189,69,40,34,24,194])).
% 0.59/0.76 cnf(287,plain,
% 0.59/0.76 ($false),
% 0.59/0.76 inference(scs_inference,[],[59,58,228,185,32,30,43,56,46,42,40,37]),
% 0.59/0.76 ['proof']).
% 0.59/0.76 % SZS output end Proof
% 0.59/0.76 % Total time :0.100000s
%------------------------------------------------------------------------------