%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MGT012-1 : 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 : n010.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 06:04:15 AM UTC 2026 % Result : Unsatisfiable 58.38s 58.54s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT012-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.02 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.06/0.33 % Computer : n010.cluster.edu % 0.06/0.33 % Model : x86_64 x86_64 % 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.33 % Memory : 8046.5625MB % 0.06/0.33 % OS : Linux 6.8.0-71-generic % 0.06/0.33 % CPULimit : 300 % 0.06/0.33 % WCLimit : 300 % 0.06/0.33 % DateTime : Mon Sep 7 11:50:26 UTC 2026 % 0.06/0.34 % CPUTime : % 0.27/0.48 start to proof:theBenchmark % 58.38/58.53 %------------------------------------------- % 58.38/58.53 % File :CSE---1.7 % 58.38/58.53 % Problem :theBenchmark % 58.38/58.53 % Transform :cnf % 58.38/58.53 % Format :tptp:raw % 58.38/58.53 % Command :java -jar mcs_scs.jar %d %s % 58.38/58.53 % 58.38/58.53 % Result :Theorem 58.062617s % 58.38/58.53 % Output :CNFRefutation 58.062617s % 58.38/58.53 %------------------------------------------- % 58.38/58.53 %-------------------------------------------------------------------------- % 58.38/58.53 % File : MGT012-1 : TPTP v9.3.0. Released v2.4.0. % 58.38/58.53 % Domain : Management (Organisation Theory) % 58.38/58.53 % Problem : Complexity of an organization cannot get smaller by age % 58.38/58.53 % Version : [PB+94] axioms. % 58.38/58.53 % English : Complexity of an organization cannot get smaller by age in % 58.38/58.54 % lack of reorganization. % 58.38/58.54 % 58.38/58.54 % Refs : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing % 58.38/58.54 % : [Kam94] Kamps (1994), Email to G. Sutcliffe % 58.38/58.54 % : [Kam95] Kamps (1995), Email to G. Sutcliffe % 58.38/58.54 % Source : [TPTP] % 58.38/58.54 % Names : % 58.38/58.54 % 58.38/58.54 % Status : Unsatisfiable % 58.38/58.54 % Rating : 0.00 v6.1.0, 0.20 v6.0.0, 0.22 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v4.0.0, 0.33 v3.5.0, 0.17 v3.3.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.4.0 % 58.38/58.54 % Syntax : Number of clauses : 14 ( 7 unt; 0 nHn; 14 RR) % 58.38/58.54 % Number of literals : 38 ( 2 equ; 26 neg) % 58.38/58.54 % Maximal clause size : 10 ( 2 avg) % 58.38/58.54 % Maximal term depth : 2 ( 1 avg) % 58.38/58.54 % Number of predicates : 7 ( 6 usr; 0 prp; 2-3 aty) % 58.38/58.54 % Number of functors : 7 ( 7 usr; 5 con; 0-2 aty) % 58.38/58.54 % Number of variables : 27 ( 0 sgn) % 58.38/58.54 % SPC : CNF_UNS_RFO_SEQ_HRN % 58.38/58.54 % 58.38/58.54 % Comments : "Not published due to publication constraints." [Kam95]. % 58.38/58.54 % : Created with tptp2X -f tptp -t clausify:otter MGT012+1.p % 58.38/58.54 %-------------------------------------------------------------------------- % 58.38/58.54 cnf(mp5_20,axiom, % 58.38/58.54 ( ~ organization(A,B) % 58.38/58.54 | inertia(A,sk1(B,A),B) ) ). % 58.38/58.54 % 58.38/58.54 cnf(mp6_1_21,axiom, % 58.38/58.54 ( ~ greater(A,B) % 58.38/58.54 | A != B ) ). % 58.38/58.54 % 58.38/58.54 cnf(mp6_2_22,axiom, % 58.38/58.54 ( ~ greater(A,B) % 58.38/58.54 | ~ greater(B,A) ) ). % 58.38/58.54 % 58.38/58.54 cnf(mp9_23,axiom, % 58.38/58.54 ( ~ organization(A,B) % 58.38/58.54 | class(A,sk2(B,A),B) ) ). % 58.38/58.54 % 58.38/58.54 cnf(mp10_24,axiom, % 58.38/58.54 ( ~ organization(A,B) % 58.38/58.54 | ~ organization(A,C) % 58.38/58.54 | ~ reorganization_free(A,B,C) % 58.38/58.54 | ~ class(A,D,B) % 58.38/58.54 | ~ class(A,E,C) % 58.38/58.54 | D = E ) ). % 58.38/58.54 % 58.38/58.54 cnf(a12_FOL_25,hypothesis, % 58.38/58.54 ( ~ organization(A,B) % 58.38/58.54 | ~ organization(C,D) % 58.38/58.54 | ~ class(A,E,B) % 58.38/58.54 | ~ class(C,E,D) % 58.38/58.54 | ~ complexity(A,F,B) % 58.38/58.54 | ~ complexity(C,G,D) % 58.38/58.54 | ~ inertia(A,H,B) % 58.38/58.54 | ~ inertia(C,I,D) % 58.38/58.54 | ~ greater(G,F) % 58.38/58.54 | greater(I,H) ) ). % 58.38/58.54 % 58.38/58.54 cnf(t2_FOL_26,hypothesis, % 58.38/58.54 ( ~ organization(A,B) % 58.38/58.54 | ~ organization(A,C) % 58.38/58.54 | ~ reorganization_free(A,B,C) % 58.38/58.54 | ~ inertia(A,D,B) % 58.38/58.54 | ~ inertia(A,E,C) % 58.38/58.54 | ~ greater(C,B) % 58.38/58.54 | greater(E,D) ) ). % 58.38/58.54 % 58.38/58.54 cnf(t12_FOL_27,negated_conjecture, % 58.38/58.54 organization(sk3,sk6) ). % 58.38/58.54 % 58.38/58.54 cnf(t12_FOL_28,negated_conjecture, % 58.38/58.54 organization(sk3,sk7) ). % 58.38/58.54 % 58.38/58.54 cnf(t12_FOL_29,negated_conjecture, % 58.38/58.54 reorganization_free(sk3,sk6,sk7) ). % 58.38/58.54 % 58.38/58.54 cnf(t12_FOL_30,negated_conjecture, % 58.38/58.54 complexity(sk3,sk4,sk6) ). % 58.38/58.54 % 58.38/58.54 cnf(t12_FOL_31,negated_conjecture, % 58.38/58.54 complexity(sk3,sk5,sk7) ). % 58.38/58.54 % 58.38/58.54 cnf(t12_FOL_32,negated_conjecture, % 58.38/58.54 greater(sk7,sk6) ). % 58.38/58.54 % 58.38/58.54 cnf(t12_FOL_33,negated_conjecture, % 58.38/58.54 greater(sk4,sk5) ). % 58.38/58.54 % 58.38/58.54 %-------------------------------------------------------------------------- % 58.38/58.54 %------------------------------------------- % 58.38/58.54 % Proof found % 58.38/58.54 % SZS status Theorem for theBenchmark % 58.38/58.54 % SZS output start Proof % 58.38/58.54 %ClaNum:37(EqnAxiom:23) % 58.38/58.54 %VarNum:78(SingletonVarNum:27) % 58.38/58.54 %MaxLitNum:10 % 58.38/58.54 %MaxfuncDepth:1 % 58.38/58.54 %SharedTerms:12 % 58.38/58.54 %goalClause: 24 25 26 27 28 29 30 % 58.38/58.54 %singleGoalClaCount:7 % 58.38/58.54 [24]P1(a1,a4) % 58.38/58.54 [25]P1(a1,a7) % 58.38/58.54 [26]P2(a7,a4) % 58.38/58.54 [27]P2(a5,a6) % 58.38/58.54 [28]P6(a1,a4,a7) % 58.38/58.54 [29]P3(a1,a5,a4) % 58.38/58.54 [30]P3(a1,a6,a7) % 58.38/58.54 [31]~P2(x311,x312)+~E(x311,x312) % 58.38/58.54 [32]~P2(x322,x321)+~P2(x321,x322) % 58.38/58.54 [33]~P1(x331,x332)+P5(x331,f2(x332,x331),x332) % 58.38/58.54 [34]~P1(x341,x342)+P4(x341,f3(x342,x341),x342) % 58.38/58.54 [35]~P4(x353,x352,x354)+~P4(x353,x351,x355)+~P6(x353,x355,x354)+E(x351,x352)+~P1(x353,x354)+~P1(x353,x355) % 58.38/58.54 [36]~P2(x364,x365)+~P5(x363,x361,x364)+~P5(x363,x362,x365)+~P6(x363,x365,x364)+P2(x361,x362)+~P1(x363,x364)+~P1(x363,x365) % 58.38/58.54 [37]~P5(x373,x371,x374)+~P5(x375,x372,x376)+~P4(x375,x379,x376)+~P3(x373,x377,x374)+~P3(x375,x378,x376)+P2(x371,x372)+~P1(x373,x374)+~P4(x373,x379,x374)+~P1(x375,x376)+~P2(x377,x378) % 58.38/58.54 %EqnAxiom % 58.38/58.54 [1]E(x11,x11) % 58.38/58.54 [2]E(x22,x21)+~E(x21,x22) % 58.38/58.54 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.38/58.54 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 58.38/58.54 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 58.38/58.54 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63)) % 58.38/58.54 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72)) % 58.38/58.54 [8]P1(x82,x83)+~E(x81,x82)+~P1(x81,x83) % 58.38/58.54 [9]P1(x93,x92)+~E(x91,x92)+~P1(x93,x91) % 58.38/58.54 [10]P3(x102,x103,x104)+~E(x101,x102)+~P3(x101,x103,x104) % 58.38/58.54 [11]P3(x113,x112,x114)+~E(x111,x112)+~P3(x113,x111,x114) % 58.38/58.54 [12]P3(x123,x124,x122)+~E(x121,x122)+~P3(x123,x124,x121) % 58.38/58.54 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133) % 58.38/58.54 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141) % 58.38/58.54 [15]P5(x152,x153,x154)+~E(x151,x152)+~P5(x151,x153,x154) % 58.38/58.54 [16]P5(x163,x162,x164)+~E(x161,x162)+~P5(x163,x161,x164) % 58.38/58.54 [17]P5(x173,x174,x172)+~E(x171,x172)+~P5(x173,x174,x171) % 58.38/58.54 [18]P6(x182,x183,x184)+~E(x181,x182)+~P6(x181,x183,x184) % 58.38/58.54 [19]P6(x193,x192,x194)+~E(x191,x192)+~P6(x193,x191,x194) % 58.38/58.54 [20]P6(x203,x204,x202)+~E(x201,x202)+~P6(x203,x204,x201) % 58.38/58.54 [21]P4(x212,x213,x214)+~E(x211,x212)+~P4(x211,x213,x214) % 58.38/58.54 [22]P4(x223,x222,x224)+~E(x221,x222)+~P4(x223,x221,x224) % 58.38/58.54 [23]P4(x233,x234,x232)+~E(x231,x232)+~P4(x233,x234,x231) % 58.38/58.54 % 58.38/58.54 %------------------------------------------- % 58.38/58.54 cnf(38,plain, % 58.38/58.54 (~P2(x381,x381)), % 58.38/58.54 inference(equality_inference,[],[31])). % 58.38/58.54 cnf(42,plain, % 58.38/58.54 (~P2(x421,x421)), % 58.38/58.54 inference(rename_variables,[],[38])). % 58.38/58.54 cnf(45,plain, % 58.38/58.54 (P1(x451,a4)+~E(a1,x451)), % 58.38/58.54 inference(scs_inference,[],[24,26,38,42,32,13,14,8])). % 58.38/58.54 cnf(60,plain, % 58.38/58.54 (~P2(x601,x601)), % 58.38/58.54 inference(rename_variables,[],[38])). % 58.38/58.54 cnf(66,plain, % 58.38/58.54 (P1(a1,x661)+~E(a7,x661)), % 58.38/58.54 inference(scs_inference,[],[25,27,30,28,38,60,32,13,14,19,20,11,9])). % 58.38/58.54 cnf(241,plain, % 58.38/58.54 (P4(x2411,f3(a4,x2411),a4)+~E(a1,x2411)), % 58.38/58.54 inference(scs_inference,[],[34,45])). % 58.38/58.54 cnf(242,plain, % 58.38/58.55 (P4(a1,f3(a4,a1),a4)), % 58.38/58.55 inference(equality_inference,[],[241])). % 58.38/58.55 cnf(246,plain, % 58.38/58.55 (P4(a1,x2461,a4)+~E(f3(a4,a1),x2461)), % 58.38/58.55 inference(scs_inference,[],[242,21,22])). % 58.38/58.55 cnf(1310,plain, % 58.38/58.55 (P5(x13101,f2(a4,x13101),a4)+~E(a1,x13101)), % 58.38/58.55 inference(scs_inference,[],[45,33])). % 58.38/58.55 cnf(1311,plain, % 58.38/58.55 (P5(a1,f2(a4,a1),a4)), % 58.38/58.55 inference(equality_inference,[],[1310])). % 58.38/58.55 cnf(1783,plain, % 58.38/58.55 (P5(a1,f2(x17831,a1),x17831)+~E(a7,x17831)), % 58.38/58.55 inference(scs_inference,[],[66,33])). % 58.38/58.55 cnf(1784,plain, % 58.38/58.55 (P5(a1,f2(a7,a1),a7)), % 58.38/58.55 inference(equality_inference,[],[1783])). % 58.38/58.55 cnf(2056,plain, % 58.38/58.55 (P4(a1,f3(x20561,a1),x20561)+~E(a7,x20561)), % 58.38/58.55 inference(scs_inference,[],[66,34])). % 58.38/58.55 cnf(2057,plain, % 58.38/58.55 (P4(a1,f3(a7,a1),a7)), % 58.38/58.55 inference(equality_inference,[],[2056])). % 58.38/58.55 cnf(7934,plain, % 58.38/58.55 (~P2(f2(a4,a1),f2(a7,a1))), % 58.38/58.55 inference(scs_inference,[],[24,1784,1311,25,26,28,2057,242,35,36,32])). % 58.38/58.55 cnf(7936,plain, % 58.38/58.55 (P4(a1,f3(a7,a1),a4)), % 58.38/58.55 inference(scs_inference,[],[24,1784,1311,25,26,28,2057,242,35,36,32,246])). % 58.38/58.55 cnf(7957,plain, % 58.38/58.55 ($false), % 58.38/58.55 inference(scs_inference,[],[24,7936,7934,1784,1311,25,27,30,2057,29,37]), % 58.38/58.55 ['proof']). % 58.38/58.55 % SZS output end Proof % 58.38/58.55 % Total time :58.062617s %------------------------------------------------------------------------------