%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MGT011-1 : 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 : n011.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 58.37s 58.56s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT011-1 : 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 % 0.06/0.34 % Computer : n011.cluster.edu % 0.06/0.34 % Model : x86_64 x86_64 % 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.34 % Memory : 8046.5625MB % 0.06/0.34 % OS : Linux 6.8.0-71-generic % 0.06/0.34 % CPULimit : 300 % 0.06/0.34 % WCLimit : 300 % 0.06/0.34 % DateTime : Mon Sep 7 11:49:30 UTC 2026 % 0.06/0.34 % CPUTime : % 0.28/0.50 start to proof:theBenchmark % 58.37/58.55 %------------------------------------------- % 58.37/58.55 % File :CSE---1.7 % 58.37/58.55 % Problem :theBenchmark % 58.37/58.55 % Transform :cnf % 58.37/58.55 % Format :tptp:raw % 58.37/58.55 % Command :java -jar mcs_scs.jar %d %s % 58.37/58.55 % 58.37/58.55 % Result :Theorem 58.057754s % 58.37/58.55 % Output :CNFRefutation 58.057754s % 58.37/58.56 %------------------------------------------- % 58.37/58.56 %-------------------------------------------------------------------------- % 58.37/58.56 % File : MGT011-1 : TPTP v9.3.0. Released v2.4.0. % 58.37/58.56 % Domain : Management (Organisation Theory) % 58.37/58.56 % Problem : Organizational size cannot decrease without reorganization % 58.37/58.56 % Version : [PB+94] axioms. % 58.37/58.56 % English : % 58.37/58.56 % 58.37/58.56 % Refs : [PB+92] Peli et al. (1992), A Logical Approach to Formalizing % 58.37/58.56 % : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing % 58.37/58.56 % : [Kam94] Kamps (1994), Email to G. Sutcliffe % 58.37/58.56 % Source : [TPTP] % 58.37/58.56 % Names : % 58.37/58.56 % 58.37/58.56 % Status : Unsatisfiable % 58.37/58.56 % Rating : 0.00 v9.1.0, 0.08 v9.0.0, 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 % 58.37/58.56 % Syntax : Number of clauses : 14 ( 7 unt; 0 nHn; 14 RR) % 58.37/58.56 % Number of literals : 38 ( 2 equ; 26 neg) % 58.37/58.56 % Maximal clause size : 10 ( 2 avg) % 58.37/58.56 % Maximal term depth : 2 ( 1 avg) % 58.37/58.56 % Number of predicates : 7 ( 6 usr; 0 prp; 2-3 aty) % 58.37/58.56 % Number of functors : 7 ( 7 usr; 5 con; 0-2 aty) % 58.37/58.56 % Number of variables : 27 ( 0 sgn) % 58.37/58.56 % SPC : CNF_UNS_RFO_SEQ_HRN % 58.37/58.56 % 58.37/58.56 % Comments : Created with tptp2X -f tptp -t clausify:otter MGT011+1.p % 58.37/58.56 %-------------------------------------------------------------------------- % 58.37/58.56 cnf(mp5_20,axiom, % 58.37/58.56 ( ~ organization(A,B) % 58.37/58.56 | inertia(A,sk1(B,A),B) ) ). % 58.37/58.56 % 58.37/58.56 cnf(mp6_1_21,axiom, % 58.37/58.56 ( ~ greater(A,B) % 58.37/58.56 | A != B ) ). % 58.37/58.56 % 58.37/58.56 cnf(mp6_2_22,axiom, % 58.37/58.56 ( ~ greater(A,B) % 58.37/58.56 | ~ greater(B,A) ) ). % 58.37/58.56 % 58.37/58.56 cnf(mp9_23,axiom, % 58.37/58.56 ( ~ organization(A,B) % 58.37/58.56 | class(A,sk2(B,A),B) ) ). % 58.37/58.56 % 58.37/58.56 cnf(mp10_24,axiom, % 58.37/58.56 ( ~ organization(A,B) % 58.37/58.56 | ~ organization(A,C) % 58.37/58.56 | ~ reorganization_free(A,B,C) % 58.37/58.56 | ~ class(A,D,B) % 58.37/58.56 | ~ class(A,E,C) % 58.37/58.56 | D = E ) ). % 58.37/58.56 % 58.37/58.56 cnf(a5_FOL_25,hypothesis, % 58.37/58.56 ( ~ organization(A,B) % 58.37/58.56 | ~ organization(C,D) % 58.37/58.56 | ~ class(A,E,B) % 58.37/58.56 | ~ class(C,E,D) % 58.37/58.56 | ~ size(A,F,B) % 58.37/58.56 | ~ size(C,G,D) % 58.37/58.56 | ~ inertia(A,H,B) % 58.37/58.56 | ~ inertia(C,I,D) % 58.37/58.56 | ~ greater(G,F) % 58.37/58.56 | greater(I,H) ) ). % 58.37/58.56 % 58.37/58.56 cnf(t2_FOL_26,hypothesis, % 58.37/58.56 ( ~ organization(A,B) % 58.37/58.56 | ~ organization(A,C) % 58.37/58.56 | ~ reorganization_free(A,B,C) % 58.37/58.56 | ~ inertia(A,D,B) % 58.37/58.56 | ~ inertia(A,E,C) % 58.37/58.56 | ~ greater(C,B) % 58.37/58.56 | greater(E,D) ) ). % 58.37/58.56 % 58.37/58.56 cnf(t11_FOL_27,negated_conjecture, % 58.37/58.56 organization(sk3,sk6) ). % 58.37/58.56 % 58.37/58.56 cnf(t11_FOL_28,negated_conjecture, % 58.37/58.56 organization(sk3,sk7) ). % 58.37/58.56 % 58.37/58.56 cnf(t11_FOL_29,negated_conjecture, % 58.37/58.56 reorganization_free(sk3,sk6,sk7) ). % 58.37/58.56 % 58.37/58.56 cnf(t11_FOL_30,negated_conjecture, % 58.37/58.56 size(sk3,sk4,sk6) ). % 58.37/58.56 % 58.37/58.56 cnf(t11_FOL_31,negated_conjecture, % 58.37/58.56 size(sk3,sk5,sk7) ). % 58.37/58.56 % 58.37/58.56 cnf(t11_FOL_32,negated_conjecture, % 58.37/58.56 greater(sk7,sk6) ). % 58.37/58.56 % 58.37/58.56 cnf(t11_FOL_33,negated_conjecture, % 58.37/58.56 greater(sk4,sk5) ). % 58.37/58.56 % 58.37/58.56 %-------------------------------------------------------------------------- % 58.37/58.56 %------------------------------------------- % 58.37/58.56 % Proof found % 58.37/58.56 % SZS status Theorem for theBenchmark % 58.37/58.56 % SZS output start Proof % 58.37/58.56 %ClaNum:37(EqnAxiom:23) % 58.37/58.56 %VarNum:78(SingletonVarNum:27) % 58.37/58.56 %MaxLitNum:10 % 58.37/58.56 %MaxfuncDepth:1 % 58.37/58.56 %SharedTerms:12 % 58.37/58.56 %goalClause: 24 25 26 27 28 29 30 % 58.37/58.56 %singleGoalClaCount:7 % 58.37/58.56 [24]P1(a1,a4) % 58.37/58.56 [25]P1(a1,a7) % 58.37/58.56 [26]P2(a7,a4) % 58.37/58.56 [27]P2(a5,a6) % 58.37/58.56 [28]P5(a1,a4,a7) % 58.37/58.56 [29]P6(a1,a5,a4) % 58.37/58.56 [30]P6(a1,a6,a7) % 58.37/58.57 [31]~P2(x311,x312)+~E(x311,x312) % 58.37/58.57 [32]~P2(x322,x321)+~P2(x321,x322) % 58.37/58.57 [33]~P1(x331,x332)+P4(x331,f2(x332,x331),x332) % 58.37/58.57 [34]~P1(x341,x342)+P3(x341,f3(x342,x341),x342) % 58.37/58.57 [35]~P3(x353,x352,x354)+~P3(x353,x351,x355)+~P5(x353,x355,x354)+E(x351,x352)+~P1(x353,x354)+~P1(x353,x355) % 58.37/58.57 [36]~P2(x364,x365)+~P4(x363,x361,x364)+~P4(x363,x362,x365)+~P5(x363,x365,x364)+P2(x361,x362)+~P1(x363,x364)+~P1(x363,x365) % 58.37/58.57 [37]~P4(x373,x371,x374)+~P4(x375,x372,x376)+~P3(x375,x379,x376)+~P6(x373,x377,x374)+~P6(x375,x378,x376)+P2(x371,x372)+~P1(x373,x374)+~P3(x373,x379,x374)+~P1(x375,x376)+~P2(x377,x378) % 58.37/58.57 %EqnAxiom % 58.37/58.57 [1]E(x11,x11) % 58.37/58.57 [2]E(x22,x21)+~E(x21,x22) % 58.37/58.57 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.37/58.57 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 58.37/58.57 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 58.37/58.57 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63)) % 58.37/58.57 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72)) % 58.37/58.57 [8]P1(x82,x83)+~E(x81,x82)+~P1(x81,x83) % 58.37/58.57 [9]P1(x93,x92)+~E(x91,x92)+~P1(x93,x91) % 58.37/58.57 [10]P6(x102,x103,x104)+~E(x101,x102)+~P6(x101,x103,x104) % 58.37/58.57 [11]P6(x113,x112,x114)+~E(x111,x112)+~P6(x113,x111,x114) % 58.37/58.57 [12]P6(x123,x124,x122)+~E(x121,x122)+~P6(x123,x124,x121) % 58.37/58.57 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133) % 58.37/58.57 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141) % 58.37/58.57 [15]P4(x152,x153,x154)+~E(x151,x152)+~P4(x151,x153,x154) % 58.37/58.57 [16]P4(x163,x162,x164)+~E(x161,x162)+~P4(x163,x161,x164) % 58.37/58.57 [17]P4(x173,x174,x172)+~E(x171,x172)+~P4(x173,x174,x171) % 58.37/58.57 [18]P5(x182,x183,x184)+~E(x181,x182)+~P5(x181,x183,x184) % 58.37/58.57 [19]P5(x193,x192,x194)+~E(x191,x192)+~P5(x193,x191,x194) % 58.37/58.57 [20]P5(x203,x204,x202)+~E(x201,x202)+~P5(x203,x204,x201) % 58.37/58.57 [21]P3(x212,x213,x214)+~E(x211,x212)+~P3(x211,x213,x214) % 58.37/58.57 [22]P3(x223,x222,x224)+~E(x221,x222)+~P3(x223,x221,x224) % 58.37/58.57 [23]P3(x233,x234,x232)+~E(x231,x232)+~P3(x233,x234,x231) % 58.37/58.57 % 58.37/58.57 %------------------------------------------- % 58.37/58.57 cnf(38,plain, % 58.37/58.57 (~P2(x381,x381)), % 58.37/58.57 inference(equality_inference,[],[31])). % 58.37/58.57 cnf(42,plain, % 58.37/58.57 (~P2(x421,x421)), % 58.37/58.57 inference(rename_variables,[],[38])). % 58.37/58.57 cnf(45,plain, % 58.37/58.57 (P1(x451,a4)+~E(a1,x451)), % 58.37/58.57 inference(scs_inference,[],[24,26,38,42,32,13,14,8])). % 58.37/58.57 cnf(75,plain, % 58.37/58.57 (P1(a1,x751)+~E(a7,x751)), % 58.37/58.57 inference(scs_inference,[],[25,9])). % 58.37/58.57 cnf(240,plain, % 58.37/58.57 (P3(x2401,f3(a4,x2401),a4)+~E(a1,x2401)), % 58.37/58.57 inference(scs_inference,[],[34,45])). % 58.37/58.57 cnf(241,plain, % 58.37/58.57 (P3(a1,f3(a4,a1),a4)), % 58.37/58.57 inference(equality_inference,[],[240])). % 58.37/58.57 cnf(245,plain, % 58.37/58.57 (P3(a1,x2451,a4)+~E(f3(a4,a1),x2451)), % 58.37/58.57 inference(scs_inference,[],[241,21,22])). % 58.37/58.57 cnf(1278,plain, % 58.37/58.57 (P4(x12781,f2(a4,x12781),a4)+~E(a1,x12781)), % 58.37/58.57 inference(scs_inference,[],[45,33])). % 58.37/58.57 cnf(1279,plain, % 58.37/58.57 (P4(a1,f2(a4,a1),a4)), % 58.37/58.57 inference(equality_inference,[],[1278])). % 58.37/58.57 cnf(1461,plain, % 58.37/58.57 (~E(x14611,x14612)+~E(a1,x14611)+P1(x14612,a4)), % 58.37/58.57 inference(scs_inference,[],[45,3])). % 58.37/58.57 cnf(1972,plain, % 58.37/58.57 (P4(a1,f2(x19721,a1),x19721)+~E(a7,x19721)), % 58.37/58.57 inference(scs_inference,[],[75,33])). % 58.37/58.57 cnf(1973,plain, % 58.37/58.57 (P4(a1,f2(a7,a1),a7)), % 58.37/58.57 inference(equality_inference,[],[1972])). % 58.37/58.57 cnf(2294,plain, % 58.37/58.57 (P3(a1,f3(x22941,a1),x22941)+~E(a7,x22941)), % 58.37/58.57 inference(scs_inference,[],[75,34])). % 58.37/58.57 cnf(2295,plain, % 58.37/58.57 (P3(a1,f3(a7,a1),a7)), % 58.37/58.57 inference(equality_inference,[],[2294])). % 58.37/58.57 cnf(10948,plain, % 58.37/58.57 (~P2(f2(a4,a1),f2(a7,a1))), % 58.37/58.57 inference(scs_inference,[],[24,1973,1279,2295,28,25,241,26,35,36,245,2,32])). % 58.37/58.57 cnf(10951,plain, % 58.37/58.57 (P3(a1,f3(a4,a1),a7)), % 58.37/58.57 inference(scs_inference,[],[24,1973,1279,2295,28,25,241,26,35,36,245,2,32,1461,22])). % 58.37/58.57 cnf(10967,plain, % 58.37/58.57 ($false), % 58.37/58.57 inference(scs_inference,[],[24,10948,10951,1973,1279,29,30,25,241,27,37]), % 58.37/58.57 ['proof']). % 58.37/58.57 % SZS output end Proof % 58.37/58.57 % Total time :58.057754s %------------------------------------------------------------------------------