%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT060-1 : 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 : n008.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 : Unsatisfiable 1.05s 1.25s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT060-1 : 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
% 0.08/0.34 % Computer : n008.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 13:35:08 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.32/0.51 start to proof:theBenchmark
% 1.05/1.24 %-------------------------------------------
% 1.05/1.24 % File :CSE---1.7
% 1.05/1.24 % Problem :theBenchmark
% 1.05/1.24 % Transform :cnf
% 1.05/1.24 % Format :tptp:raw
% 1.05/1.24 % Command :java -jar mcs_scs.jar %d %s
% 1.05/1.24
% 1.05/1.24 % Result :Theorem 0.755397s
% 1.05/1.24 % Output :CNFRefutation 0.755397s
% 1.05/1.24 %-------------------------------------------
% 1.05/1.25 %--------------------------------------------------------------------------
% 1.05/1.25 % File : MGT060-1 : TPTP v9.3.0. Released v2.4.0.
% 1.05/1.25 % Domain : Management (Organisation Theory)
% 1.05/1.25 % Problem : Hazard of mortality is lower during periods of immunity
% 1.05/1.25 % Version : [Han98] axioms.
% 1.05/1.25 % English : An organization's hazard of mortality is lower during periods in
% 1.05/1.25 % which it has immunity than in periods in which it does not.
% 1.05/1.25
% 1.05/1.25 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 1.05/1.25 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 1.05/1.25 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 1.05/1.25 % Source : [TPTP]
% 1.05/1.25 % Names :
% 1.05/1.25
% 1.05/1.25 % Status : Unsatisfiable
% 1.05/1.25 % Rating : 0.08 v9.3.0, 0.09 v9.1.0, 0.10 v9.0.0, 0.15 v8.2.0, 0.14 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.18 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.15 v5.4.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.09 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, 0.27 v2.7.0, 0.17 v2.6.0, 0.22 v2.5.0, 0.44 v2.4.0
% 1.05/1.25 % Syntax : Number of clauses : 25 ( 9 unt; 7 nHn; 23 RR)
% 1.05/1.25 % Number of literals : 58 ( 10 equ; 24 neg)
% 1.05/1.25 % Maximal clause size : 5 ( 2 avg)
% 1.05/1.25 % Maximal term depth : 2 ( 1 avg)
% 1.05/1.25 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty)
% 1.05/1.25 % Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% 1.05/1.25 % Number of variables : 33 ( 0 sgn)
% 1.05/1.25 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.05/1.25
% 1.05/1.25 % Comments : See MGT042+1.p for the mnemonic names.
% 1.05/1.25 % : Created with tptp2X -f tptp -t clausify:otter MGT060+1.p
% 1.05/1.25 %--------------------------------------------------------------------------
% 1.05/1.25 include('Axioms/MGT001-0.ax').
% 1.05/1.25 %--------------------------------------------------------------------------
% 1.05/1.25 cnf(assumption_17_32,axiom,
% 1.05/1.25 ( ~ organization(A)
% 1.05/1.25 | ~ has_immunity(A,B)
% 1.05/1.25 | hazard_of_mortality(A,B) = very_low ) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_17_33,axiom,
% 1.05/1.25 ( ~ organization(A)
% 1.05/1.25 | has_immunity(A,B)
% 1.05/1.25 | ~ is_aligned(A,B)
% 1.05/1.25 | ~ positional_advantage(A,B)
% 1.05/1.25 | hazard_of_mortality(A,B) = low ) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_17_34,axiom,
% 1.05/1.25 ( ~ organization(A)
% 1.05/1.25 | has_immunity(A,B)
% 1.05/1.25 | is_aligned(A,B)
% 1.05/1.25 | ~ positional_advantage(A,B)
% 1.05/1.25 | hazard_of_mortality(A,B) = mod1 ) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_17_35,axiom,
% 1.05/1.25 ( ~ organization(A)
% 1.05/1.25 | has_immunity(A,B)
% 1.05/1.25 | ~ is_aligned(A,B)
% 1.05/1.25 | positional_advantage(A,B)
% 1.05/1.25 | hazard_of_mortality(A,B) = mod2 ) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_17_36,axiom,
% 1.05/1.25 ( ~ organization(A)
% 1.05/1.25 | has_immunity(A,B)
% 1.05/1.25 | is_aligned(A,B)
% 1.05/1.25 | positional_advantage(A,B)
% 1.05/1.25 | hazard_of_mortality(A,B) = high ) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_18a_37,axiom,
% 1.05/1.25 greater(high,mod1) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_18b_38,axiom,
% 1.05/1.25 greater(mod1,low) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_18c_39,axiom,
% 1.05/1.25 greater(low,very_low) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_18d_40,axiom,
% 1.05/1.25 greater(high,mod2) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_18e_41,axiom,
% 1.05/1.25 greater(mod2,low) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_3_42,negated_conjecture,
% 1.05/1.25 organization(sk1) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_3_43,negated_conjecture,
% 1.05/1.25 has_immunity(sk1,sk2) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_3_44,negated_conjecture,
% 1.05/1.25 ~ has_immunity(sk1,sk3) ).
% 1.05/1.25
% 1.05/1.25 cnf(assumption_3_45,negated_conjecture,
% 1.05/1.25 ~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ).
% 1.05/1.25
% 1.05/1.25 %--------------------------------------------------------------------------
% 1.05/1.25 %-------------------------------------------
% 1.05/1.25 % Proof found
% 1.05/1.25 % SZS status Theorem for theBenchmark
% 1.05/1.25 % SZS output start Proof
% 1.05/1.25 %ClaNum:45(EqnAxiom:20)
% 1.05/1.25 %VarNum:93(SingletonVarNum:33)
% 1.05/1.25 %MaxLitNum:5
% 1.05/1.25 %MaxfuncDepth:1
% 1.05/1.25 %SharedTerms:19
% 1.05/1.25 %goalClause: 21 27 28 29
% 1.05/1.25 %singleGoalClaCount:4
% 1.05/1.25 [21]P1(a1)
% 1.05/1.25 [22]P2(a2,a7)
% 1.05/1.25 [23]P2(a5,a2)
% 1.05/1.25 [24]P2(a6,a2)
% 1.05/1.25 [25]P2(a3,a5)
% 1.05/1.25 [26]P2(a3,a6)
% 1.05/1.25 [27]P3(a1,a8)
% 1.05/1.25 [28]~P3(a1,a9)
% 1.05/1.25 [29]~P2(f4(a1,a9),f4(a1,a8))
% 1.05/1.25 [30]~E(x301,x302)+P6(x301,x302)
% 1.05/1.25 [31]~E(x311,x312)+P4(x311,x312)
% 1.05/1.25 [33]~P7(x331,x332)+P6(x331,x332)
% 1.05/1.25 [34]~P2(x342,x341)+P7(x341,x342)
% 1.05/1.25 [35]~P2(x351,x352)+P4(x351,x352)
% 1.05/1.25 [36]~P7(x362,x361)+P2(x361,x362)
% 1.05/1.25 [40]~P2(x402,x401)+~P2(x401,x402)
% 1.05/1.25 [32]P7(x321,x322)+P2(x321,x322)+E(x321,x322)
% 1.05/1.25 [37]P7(x371,x372)+~P6(x371,x372)+E(x371,x372)
% 1.05/1.25 [38]P2(x381,x382)+~P4(x381,x382)+E(x381,x382)
% 1.05/1.25 [39]~P1(x391)+~P3(x391,x392)+E(f4(x391,x392),a7)
% 1.05/1.25 [41]~P2(x411,x413)+P2(x411,x412)+~P2(x413,x412)
% 1.05/1.25 [42]P3(x421,x422)+P5(x421,x422)+P8(x421,x422)+~P1(x421)+E(f4(x421,x422),a3)
% 1.05/1.25 [43]P3(x431,x432)+P5(x431,x432)+~P1(x431)+~P8(x431,x432)+E(f4(x431,x432),a5)
% 1.05/1.25 [44]P3(x441,x442)+P8(x441,x442)+~P1(x441)+~P5(x441,x442)+E(f4(x441,x442),a6)
% 1.05/1.25 [45]P3(x451,x452)+~P1(x451)+~P5(x451,x452)+~P8(x451,x452)+E(f4(x451,x452),a2)
% 1.05/1.26 %EqnAxiom
% 1.05/1.26 [1]E(x11,x11)
% 1.05/1.26 [2]E(x22,x21)+~E(x21,x22)
% 1.05/1.26 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.05/1.26 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 1.05/1.26 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 1.05/1.26 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 1.05/1.26 [7]P2(x72,x73)+~E(x71,x72)+~P2(x71,x73)
% 1.05/1.26 [8]P2(x83,x82)+~E(x81,x82)+~P2(x83,x81)
% 1.05/1.26 [9]P5(x92,x93)+~E(x91,x92)+~P5(x91,x93)
% 1.05/1.26 [10]P5(x103,x102)+~E(x101,x102)+~P5(x103,x101)
% 1.05/1.26 [11]P8(x112,x113)+~E(x111,x112)+~P8(x111,x113)
% 1.05/1.26 [12]P8(x123,x122)+~E(x121,x122)+~P8(x123,x121)
% 1.05/1.26 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 1.05/1.26 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 1.05/1.26 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153)
% 1.05/1.26 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161)
% 1.05/1.26 [17]P7(x172,x173)+~E(x171,x172)+~P7(x171,x173)
% 1.05/1.26 [18]P7(x183,x182)+~E(x181,x182)+~P7(x183,x181)
% 1.05/1.26 [19]P6(x192,x193)+~E(x191,x192)+~P6(x191,x193)
% 1.05/1.26 [20]P6(x203,x202)+~E(x201,x202)+~P6(x203,x201)
% 1.05/1.26
% 1.05/1.26 %-------------------------------------------
% 1.05/1.26 cnf(48,plain,
% 1.05/1.26 (~P7(f4(a1,a8),f4(a1,a9))),
% 1.05/1.26 inference(scs_inference,[],[29,36])).
% 1.05/1.26 cnf(50,plain,
% 1.05/1.26 (~P2(a7,a2)),
% 1.05/1.26 inference(scs_inference,[],[29,22,36,40])).
% 1.05/1.26 cnf(52,plain,
% 1.05/1.26 (P2(a5,a7)),
% 1.05/1.26 inference(scs_inference,[],[29,22,23,36,40,41])).
% 1.05/1.26 cnf(72,plain,
% 1.05/1.26 (~P2(a7,a5)),
% 1.05/1.26 inference(scs_inference,[],[52,50,36,40])).
% 1.05/1.26 cnf(74,plain,
% 1.05/1.26 (P2(a3,a7)),
% 1.05/1.26 inference(scs_inference,[],[52,25,50,36,40,41])).
% 1.05/1.26 cnf(95,plain,
% 1.05/1.26 (~P2(a7,a3)),
% 1.05/1.26 inference(scs_inference,[],[74,72,36,40])).
% 1.05/1.26 cnf(97,plain,
% 1.05/1.26 (P2(a3,a2)),
% 1.05/1.26 inference(scs_inference,[],[74,26,72,24,36,40,41])).
% 1.05/1.26 cnf(100,plain,
% 1.05/1.26 (E(a7,a5)+P7(a7,a5)),
% 1.05/1.26 inference(scs_inference,[],[74,26,72,24,25,36,40,41,7,32])).
% 1.05/1.26 cnf(115,plain,
% 1.05/1.26 (~P2(a2,a3)),
% 1.05/1.26 inference(scs_inference,[],[97,95,36,40])).
% 1.05/1.26 cnf(133,plain,
% 1.05/1.26 (~P2(a2,a5)),
% 1.05/1.26 inference(scs_inference,[],[23,115,36,40])).
% 1.05/1.26 cnf(142,plain,
% 1.05/1.26 (~P2(a2,a6)),
% 1.05/1.26 inference(scs_inference,[],[24,133,36,40])).
% 1.05/1.26 cnf(148,plain,
% 1.05/1.26 (~E(a7,f4(a1,a8))+~E(a5,f4(a1,a9))),
% 1.05/1.26 inference(scs_inference,[],[48,24,25,133,22,36,40,7,8,100,18,17])).
% 1.05/1.26 cnf(156,plain,
% 1.05/1.26 (~P2(a5,a3)),
% 1.05/1.26 inference(scs_inference,[],[25,142,36,40])).
% 1.05/1.26 cnf(171,plain,
% 1.05/1.26 (~E(a7,a6)),
% 1.05/1.26 inference(scs_inference,[],[26,22,142,156,36,40,8])).
% 1.05/1.26 cnf(242,plain,
% 1.05/1.26 (~E(a7,f4(a1,a8))+~E(a3,f4(a1,a9))),
% 1.05/1.26 inference(scs_inference,[],[29,74,7,8])).
% 1.05/1.26 cnf(252,plain,
% 1.05/1.26 (~E(a7,f4(a1,a8))+~E(a2,f4(a1,a9))),
% 1.05/1.26 inference(scs_inference,[],[29,22,7,8])).
% 1.05/1.26 cnf(323,plain,
% 1.05/1.26 (~E(a7,f4(a1,a8))+~E(a6,f4(a1,a9))),
% 1.05/1.26 inference(scs_inference,[],[24,48,22,171,41,40,32,18,17])).
% 1.05/1.26 cnf(427,plain,
% 1.05/1.26 (~E(f4(a1,a9),a5)+~E(a7,f4(a1,a8))),
% 1.05/1.26 inference(scs_inference,[],[148,2])).
% 1.05/1.26 cnf(429,plain,
% 1.05/1.26 (~E(f4(a1,a9),a3)+~E(a7,f4(a1,a8))),
% 1.05/1.26 inference(scs_inference,[],[242,2])).
% 1.05/1.26 cnf(431,plain,
% 1.05/1.26 (~E(f4(a1,a9),a2)+~E(a7,f4(a1,a8))),
% 1.05/1.26 inference(scs_inference,[],[252,2])).
% 1.05/1.26 cnf(433,plain,
% 1.05/1.26 (~E(f4(a1,a9),a6)+~E(a7,f4(a1,a8))),
% 1.05/1.26 inference(scs_inference,[],[323,2])).
% 1.05/1.26 cnf(436,plain,
% 1.05/1.26 (~E(f4(a1,a8),a7)+~E(f4(a1,a9),a5)),
% 1.05/1.26 inference(scs_inference,[],[427,2])).
% 1.05/1.26 cnf(438,plain,
% 1.05/1.26 (~E(f4(a1,a8),a7)+~E(f4(a1,a9),a3)),
% 1.05/1.26 inference(scs_inference,[],[429,2])).
% 1.05/1.26 cnf(440,plain,
% 1.05/1.26 (~E(f4(a1,a8),a7)+~E(f4(a1,a9),a2)),
% 1.05/1.26 inference(scs_inference,[],[431,2])).
% 1.05/1.26 cnf(442,plain,
% 1.05/1.26 (~E(f4(a1,a8),a7)+~E(f4(a1,a9),a6)),
% 1.05/1.26 inference(scs_inference,[],[433,2])).
% 1.05/1.26 cnf(444,plain,
% 1.05/1.26 (~E(f4(a1,a9),a5)),
% 1.05/1.26 inference(scs_inference,[],[21,27,436,39])).
% 1.05/1.26 cnf(445,plain,
% 1.05/1.26 (P5(a1,a9)+~P8(a1,a9)),
% 1.05/1.26 inference(scs_inference,[],[21,28,444,43])).
% 1.05/1.26 cnf(448,plain,
% 1.05/1.26 (~P8(x4481,a9)+~E(x4481,a1)+P5(a1,a9)),
% 1.05/1.26 inference(scs_inference,[],[445,11])).
% 1.05/1.26 cnf(450,plain,
% 1.05/1.26 (~E(f4(a1,a9),a3)),
% 1.05/1.26 inference(scs_inference,[],[21,27,438,39])).
% 1.05/1.26 cnf(456,plain,
% 1.05/1.26 (~E(f4(a1,a9),a2)),
% 1.05/1.26 inference(scs_inference,[],[21,27,440,39])).
% 1.05/1.26 cnf(463,plain,
% 1.05/1.26 (~E(f4(a1,a9),a6)),
% 1.05/1.26 inference(scs_inference,[],[21,27,442,39])).
% 1.05/1.26 cnf(466,plain,
% 1.05/1.26 (~P5(a1,a9)),
% 1.05/1.26 inference(scs_inference,[],[21,28,456,463,44,45])).
% 1.05/1.26 cnf(472,plain,
% 1.05/1.26 (~E(x4721,a1)+~P8(x4721,a9)),
% 1.05/1.26 inference(scs_inference,[],[466,448])).
% 1.05/1.26 cnf(475,plain,
% 1.05/1.26 ($false),
% 1.05/1.26 inference(scs_inference,[],[450,466,21,28,472,42]),
% 1.05/1.26 ['proof']).
% 1.05/1.26 % SZS output end Proof
% 1.05/1.26 % Total time :0.755397s
%------------------------------------------------------------------------------