%------------------------------------------------------------------------------
% 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 : n016.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 3.86s 4.12s
% 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
% 0.07/0.33 % Computer : n016.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 7 13:37:47 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.13/0.44 start to proof:theBenchmark
% 3.86/4.12 %-------------------------------------------
% 3.86/4.12 % File :CSE---1.7
% 3.86/4.12 % Problem :theBenchmark
% 3.86/4.12 % Transform :cnf
% 3.86/4.12 % Format :tptp:raw
% 3.86/4.12 % Command :java -jar mcs_scs.jar %d %s
% 3.86/4.12
% 3.86/4.12 % Result :Theorem 3.672797s
% 3.86/4.12 % Output :CNFRefutation 3.672797s
% 3.86/4.12 %-------------------------------------------
% 3.86/4.12 %--------------------------------------------------------------------------
% 3.86/4.12 % File : MGT059-1 : TPTP v9.3.0. Released v2.4.0.
% 3.86/4.12 % Domain : Management (Organisation Theory)
% 3.86/4.12 % Problem : Hazard of mortality is constant during periods of immunity
% 3.86/4.12 % Version : [Han98] axioms.
% 3.86/4.12 % English : An organization's hazard of mortality is constant during periods
% 3.86/4.12 % in which it has immunity.
% 3.86/4.12
% 3.86/4.12 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 3.86/4.12 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 3.86/4.12 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 3.86/4.12 % Source : [TPTP]
% 3.86/4.12 % Names :
% 3.86/4.12
% 3.86/4.12 % Status : Unsatisfiable
% 3.86/4.12 % Rating : 0.08 v9.3.0, 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.00 v5.2.0, 0.06 v5.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.00 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.4.0
% 3.86/4.12 % Syntax : Number of clauses : 20 ( 4 unt; 7 nHn; 18 RR)
% 3.86/4.12 % Number of literals : 53 ( 11 equ; 23 neg)
% 3.86/4.12 % Maximal clause size : 5 ( 2 avg)
% 3.86/4.12 % Maximal term depth : 2 ( 1 avg)
% 3.86/4.12 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty)
% 3.86/4.12 % Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% 3.86/4.12 % Number of variables : 33 ( 0 sgn)
% 3.86/4.12 % SPC : CNF_UNS_RFO_SEQ_NHN
% 3.86/4.12
% 3.86/4.12 % Comments : See MGT042+1.p for the mnemonic names.
% 3.86/4.12 % : Created with tptp2X -f tptp -t clausify:otter MGT059+1.p
% 3.86/4.12 %--------------------------------------------------------------------------
% 3.86/4.12 include('Axioms/MGT001-0.ax').
% 3.86/4.12 %--------------------------------------------------------------------------
% 3.86/4.12 cnf(assumption_17_32,axiom,
% 3.86/4.12 ( ~ organization(A)
% 3.86/4.12 | ~ has_immunity(A,B)
% 3.86/4.12 | hazard_of_mortality(A,B) = very_low ) ).
% 3.86/4.12
% 3.86/4.12 cnf(assumption_17_33,axiom,
% 3.86/4.12 ( ~ organization(A)
% 3.86/4.12 | has_immunity(A,B)
% 3.86/4.12 | ~ is_aligned(A,B)
% 3.86/4.12 | ~ positional_advantage(A,B)
% 3.86/4.12 | hazard_of_mortality(A,B) = low ) ).
% 3.86/4.12
% 3.86/4.12 cnf(assumption_17_34,axiom,
% 3.86/4.12 ( ~ organization(A)
% 3.86/4.12 | has_immunity(A,B)
% 3.86/4.12 | is_aligned(A,B)
% 3.86/4.12 | ~ positional_advantage(A,B)
% 3.86/4.12 | hazard_of_mortality(A,B) = mod1 ) ).
% 3.86/4.12
% 3.86/4.12 cnf(assumption_17_35,axiom,
% 3.86/4.12 ( ~ organization(A)
% 3.86/4.12 | has_immunity(A,B)
% 3.86/4.12 | ~ is_aligned(A,B)
% 3.86/4.12 | positional_advantage(A,B)
% 3.86/4.12 | hazard_of_mortality(A,B) = mod2 ) ).
% 3.86/4.12
% 3.86/4.12 cnf(assumption_17_36,axiom,
% 3.86/4.12 ( ~ organization(A)
% 3.86/4.12 | has_immunity(A,B)
% 3.86/4.12 | is_aligned(A,B)
% 3.86/4.12 | positional_advantage(A,B)
% 3.86/4.12 | hazard_of_mortality(A,B) = high ) ).
% 3.86/4.12
% 3.86/4.12 cnf(assumption_2_37,negated_conjecture,
% 3.86/4.12 organization(sk1) ).
% 3.86/4.12
% 3.86/4.12 cnf(assumption_2_38,negated_conjecture,
% 3.86/4.12 has_immunity(sk1,sk2) ).
% 3.86/4.12
% 3.86/4.12 cnf(assumption_2_39,negated_conjecture,
% 3.86/4.12 has_immunity(sk1,sk3) ).
% 3.86/4.12
% 3.86/4.12 cnf(assumption_2_40,negated_conjecture,
% 3.86/4.12 hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3) ).
% 3.86/4.12
% 3.86/4.12 %--------------------------------------------------------------------------
% 3.86/4.12 %-------------------------------------------
% 3.86/4.12 % Proof found
% 3.86/4.12 % SZS status Theorem for theBenchmark
% 3.86/4.12 % SZS output start Proof
% 3.86/4.12 %ClaNum:40(EqnAxiom:20)
% 3.86/4.12 %VarNum:93(SingletonVarNum:33)
% 3.86/4.12 %MaxLitNum:5
% 3.86/4.12 %MaxfuncDepth:1
% 3.86/4.12 %SharedTerms:14
% 3.86/4.13 %goalClause: 21 22 23 24
% 3.86/4.13 %singleGoalClaCount:4
% 3.86/4.13 [21]P1(a1)
% 3.86/4.13 [22]P2(a1,a7)
% 3.86/4.13 [23]P2(a1,a8)
% 3.86/4.13 [24]~E(f2(a1,a8),f2(a1,a7))
% 3.86/4.13 [25]~E(x251,x252)+P6(x251,x252)
% 3.86/4.13 [26]~E(x261,x262)+P3(x261,x262)
% 3.86/4.13 [28]~P7(x281,x282)+P6(x281,x282)
% 3.86/4.13 [29]~P4(x292,x291)+P7(x291,x292)
% 3.86/4.13 [30]~P4(x301,x302)+P3(x301,x302)
% 3.86/4.13 [31]~P7(x312,x311)+P4(x311,x312)
% 3.86/4.13 [35]~P4(x352,x351)+~P4(x351,x352)
% 3.86/4.13 [27]P7(x271,x272)+P4(x271,x272)+E(x271,x272)
% 3.86/4.13 [32]P7(x321,x322)+~P6(x321,x322)+E(x321,x322)
% 3.86/4.13 [33]P4(x331,x332)+~P3(x331,x332)+E(x331,x332)
% 3.86/4.13 [34]~P1(x341)+~P2(x341,x342)+E(f2(x341,x342),a9)
% 3.86/4.13 [36]~P4(x361,x363)+P4(x361,x362)+~P4(x363,x362)
% 3.86/4.13 [37]P2(x371,x372)+P5(x371,x372)+P8(x371,x372)+~P1(x371)+E(f2(x371,x372),a3)
% 3.86/4.13 [38]P2(x381,x382)+P5(x381,x382)+~P1(x381)+~P8(x381,x382)+E(f2(x381,x382),a4)
% 3.86/4.13 [39]P2(x391,x392)+P8(x391,x392)+~P1(x391)+~P5(x391,x392)+E(f2(x391,x392),a6)
% 3.86/4.13 [40]P2(x401,x402)+~P1(x401)+~P5(x401,x402)+~P8(x401,x402)+E(f2(x401,x402),a5)
% 3.86/4.13 %EqnAxiom
% 3.86/4.13 [1]E(x11,x11)
% 3.86/4.13 [2]E(x22,x21)+~E(x21,x22)
% 3.86/4.13 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.86/4.13 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 3.86/4.13 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 3.86/4.13 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 3.86/4.13 [7]P2(x72,x73)+~E(x71,x72)+~P2(x71,x73)
% 3.86/4.13 [8]P2(x83,x82)+~E(x81,x82)+~P2(x83,x81)
% 3.86/4.13 [9]P5(x92,x93)+~E(x91,x92)+~P5(x91,x93)
% 3.86/4.13 [10]P5(x103,x102)+~E(x101,x102)+~P5(x103,x101)
% 3.86/4.13 [11]P6(x112,x113)+~E(x111,x112)+~P6(x111,x113)
% 3.86/4.13 [12]P6(x123,x122)+~E(x121,x122)+~P6(x123,x121)
% 3.86/4.13 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 3.86/4.13 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 3.86/4.13 [15]P7(x152,x153)+~E(x151,x152)+~P7(x151,x153)
% 3.86/4.13 [16]P7(x163,x162)+~E(x161,x162)+~P7(x163,x161)
% 3.86/4.13 [17]P4(x172,x173)+~E(x171,x172)+~P4(x171,x173)
% 3.86/4.13 [18]P4(x183,x182)+~E(x181,x182)+~P4(x183,x181)
% 3.86/4.13 [19]P8(x192,x193)+~E(x191,x192)+~P8(x191,x193)
% 3.86/4.13 [20]P8(x203,x202)+~E(x201,x202)+~P8(x203,x201)
% 3.86/4.13
% 3.86/4.13 %-------------------------------------------
% 3.97/4.13 cnf(136,plain,
% 3.97/4.13 (E(a9,f2(a1,a8))),
% 3.97/4.13 inference(scs_inference,[],[21,23,2,34])).
% 3.97/4.13 cnf(583,plain,
% 3.97/4.13 (~E(f2(a1,a7),a9)),
% 3.97/4.13 inference(scs_inference,[],[24,136,2,3])).
% 3.97/4.13 cnf(584,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(scs_inference,[],[22,21,583,34]),
% 3.97/4.13 ['proof']).
% 3.97/4.13 % SZS output end Proof
% 3.97/4.13 % Total time :3.672797s
%------------------------------------------------------------------------------