%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MGT011+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n029.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 : Theorem 58.36s 58.57s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT011+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.02 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.06/0.34 % Computer : n029.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 11:50:26 UTC 2026 % 0.06/0.34 % CPUTime : % 0.24/0.51 start to proof:theBenchmark % 58.36/58.56 %------------------------------------------- % 58.36/58.56 % File :CSE---1.7 % 58.36/58.56 % Problem :theBenchmark % 58.36/58.56 % Transform :cnf % 58.36/58.56 % Format :tptp:raw % 58.36/58.56 % Command :java -jar mcs_scs.jar %d %s % 58.36/58.56 % 58.36/58.56 % Result :Theorem 58.068246s % 58.36/58.56 % Output :CNFRefutation 58.068246s % 58.36/58.56 %------------------------------------------- % 58.36/58.56 %-------------------------------------------------------------------------- % 58.36/58.56 % File : MGT011+1 : TPTP v9.3.0. Released v2.0.0. % 58.36/58.57 % Domain : Management (Organisation Theory) % 58.36/58.57 % Problem : Organizational size cannot decrease without reorganization % 58.36/58.57 % Version : [PB+94] axioms. % 58.36/58.57 % English : % 58.36/58.57 % 58.36/58.57 % Refs : [PB+92] Peli et al. (1992), A Logical Approach to Formalizing % 58.36/58.57 % : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing % 58.36/58.57 % : [Kam94] Kamps (1994), Email to G. Sutcliffe % 58.36/58.57 % Source : [Kam94] % 58.36/58.57 % Names : THEOREM 11 [PB+92] % 58.36/58.57 % : T11FOL1 [PB+94] % 58.36/58.57 % 58.36/58.57 % Status : Theorem % 58.36/58.57 % Rating : 0.26 v9.3.0, 0.15 v9.1.0, 0.09 v9.0.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.3.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.23 v6.0.0, 0.26 v5.5.0, 0.19 v5.4.0, 0.18 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 0.17 v3.7.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.22 v3.1.0, 0.17 v2.7.0, 0.00 v2.1.0 % 58.36/58.57 % Syntax : Number of formulae : 8 ( 0 unt; 0 def) % 58.36/58.57 % Number of atoms : 38 ( 2 equ) % 58.36/58.57 % Maximal formula atoms : 10 ( 4 avg) % 58.36/58.57 % Number of connectives : 33 ( 3 ~; 0 |; 24 &) % 58.36/58.57 % ( 0 <=>; 6 =>; 0 <=; 0 <~>) % 58.36/58.57 % Maximal formula depth : 19 ( 9 avg) % 58.36/58.57 % Maximal term depth : 1 ( 1 avg) % 58.36/58.57 % Number of predicates : 7 ( 6 usr; 0 prp; 2-3 aty) % 58.36/58.57 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 58.36/58.57 % Number of variables : 34 ( 32 !; 2 ?) % 58.36/58.57 % SPC : FOF_THM_RFO_SEQ % 58.36/58.57 % 58.36/58.57 % Comments : % 58.36/58.57 %-------------------------------------------------------------------------- % 58.36/58.57 %----Subsitution axioms % 58.36/58.57 %----Problem axioms % 58.36/58.57 fof(mp5,axiom, % 58.36/58.57 ! [X,T] : % 58.36/58.57 ( organization(X,T) % 58.36/58.57 => ? [I] : inertia(X,I,T) ) ). % 58.36/58.57 % 58.36/58.57 fof(mp6_1,axiom, % 58.36/58.57 ! [X,Y] : % 58.36/58.57 ~ ( greater(X,Y) % 58.36/58.57 & X = Y ) ). % 58.36/58.57 % 58.36/58.57 fof(mp6_2,axiom, % 58.36/58.57 ! [X,Y] : % 58.36/58.57 ~ ( greater(X,Y) % 58.36/58.57 & greater(Y,X) ) ). % 58.36/58.57 % 58.36/58.57 fof(mp9,axiom, % 58.36/58.57 ! [X,T] : % 58.36/58.57 ( organization(X,T) % 58.36/58.57 => ? [C] : class(X,C,T) ) ). % 58.36/58.57 % 58.36/58.57 %----Class cannot change without reorganization. % 58.36/58.57 fof(mp10,axiom, % 58.36/58.57 ! [X,T1,T2,C1,C2] : % 58.36/58.57 ( ( organization(X,T1) % 58.36/58.57 & organization(X,T2) % 58.36/58.57 & reorganization_free(X,T1,T2) % 58.36/58.57 & class(X,C1,T1) % 58.36/58.57 & class(X,C2,T2) ) % 58.36/58.57 => C1 = C2 ) ). % 58.36/58.57 % 58.36/58.57 %----The level of structural inertia increases with size for each class % 58.36/58.57 %----of organizations. % 58.36/58.57 fof(a5_FOL,hypothesis, % 58.36/58.57 ! [X,Y,C,S1,S2,I1,I2,T1,T2] : % 58.36/58.57 ( ( organization(X,T1) % 58.36/58.57 & organization(Y,T2) % 58.36/58.57 & class(X,C,T1) % 58.36/58.57 & class(Y,C,T2) % 58.36/58.57 & size(X,S1,T1) % 58.36/58.57 & size(Y,S2,T2) % 58.36/58.57 & inertia(X,I1,T1) % 58.36/58.57 & inertia(Y,I2,T2) % 58.36/58.57 & greater(S2,S1) ) % 58.36/58.57 => greater(I2,I1) ) ). % 58.36/58.57 % 58.36/58.57 fof(t2_FOL,hypothesis, % 58.36/58.57 ! [X,I1,I2,T1,T2] : % 58.36/58.57 ( ( organization(X,T1) % 58.36/58.57 & organization(X,T2) % 58.36/58.57 & reorganization_free(X,T1,T2) % 58.36/58.57 & inertia(X,I1,T1) % 58.36/58.57 & inertia(X,I2,T2) % 58.36/58.57 & greater(T2,T1) ) % 58.36/58.57 => greater(I2,I1) ) ). % 58.36/58.57 % 58.36/58.57 fof(t11_FOL,conjecture, % 58.36/58.57 ! [X,S1,S2,T1,T2] : % 58.36/58.57 ( ( organization(X,T1) % 58.36/58.57 & organization(X,T2) % 58.36/58.57 & reorganization_free(X,T1,T2) % 58.36/58.57 & size(X,S1,T1) % 58.36/58.57 & size(X,S2,T2) % 58.36/58.57 & greater(T2,T1) ) % 58.36/58.57 => ~ greater(S1,S2) ) ). % 58.36/58.57 % 58.36/58.57 %-------------------------------------------------------------------------- % 58.36/58.57 %------------------------------------------- % 58.36/58.57 % Proof found % 58.36/58.57 % SZS status Theorem for theBenchmark % 58.36/58.57 % SZS output start Proof % 58.36/58.57 %ClaNum:37(EqnAxiom:23) % 58.36/58.57 %VarNum:78(SingletonVarNum:27) % 58.36/58.57 %MaxLitNum:10 % 58.36/58.57 %MaxfuncDepth:1 % 58.36/58.57 %SharedTerms:12 % 58.36/58.57 %goalClause: 24 25 26 27 28 29 30 % 58.36/58.57 %singleGoalClaCount:7 % 58.36/58.57 [24]P1(a1,a4) % 58.36/58.57 [25]P1(a1,a7) % 58.36/58.57 [26]P2(a5,a6) % 58.36/58.57 [27]P2(a7,a4) % 58.36/58.57 [28]P5(a1,a4,a7) % 58.36/58.57 [29]P6(a1,a5,a4) % 58.36/58.57 [30]P6(a1,a6,a7) % 58.36/58.57 [31]~P2(x311,x312)+~E(x311,x312) % 58.36/58.57 [32]~P2(x322,x321)+~P2(x321,x322) % 58.36/58.57 [33]~P1(x331,x332)+P4(x331,f2(x331,x332),x332) % 58.36/58.57 [34]~P1(x341,x342)+P3(x341,f3(x341,x342),x342) % 58.36/58.57 [35]~P3(x353,x352,x354)+~P3(x353,x351,x355)+~P5(x353,x355,x354)+E(x351,x352)+~P1(x353,x354)+~P1(x353,x355) % 58.36/58.57 [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) % 58.36/58.57 [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) % 58.36/58.57 %EqnAxiom % 58.36/58.57 [1]E(x11,x11) % 58.36/58.57 [2]E(x22,x21)+~E(x21,x22) % 58.36/58.57 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.36/58.57 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 58.36/58.57 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 58.36/58.57 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63)) % 58.36/58.57 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72)) % 58.36/58.57 [8]P1(x82,x83)+~E(x81,x82)+~P1(x81,x83) % 58.36/58.57 [9]P1(x93,x92)+~E(x91,x92)+~P1(x93,x91) % 58.36/58.57 [10]P6(x102,x103,x104)+~E(x101,x102)+~P6(x101,x103,x104) % 58.36/58.57 [11]P6(x113,x112,x114)+~E(x111,x112)+~P6(x113,x111,x114) % 58.36/58.57 [12]P6(x123,x124,x122)+~E(x121,x122)+~P6(x123,x124,x121) % 58.36/58.57 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133) % 58.36/58.57 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141) % 58.36/58.57 [15]P4(x152,x153,x154)+~E(x151,x152)+~P4(x151,x153,x154) % 58.36/58.57 [16]P4(x163,x162,x164)+~E(x161,x162)+~P4(x163,x161,x164) % 58.36/58.57 [17]P4(x173,x174,x172)+~E(x171,x172)+~P4(x173,x174,x171) % 58.36/58.57 [18]P5(x182,x183,x184)+~E(x181,x182)+~P5(x181,x183,x184) % 58.36/58.57 [19]P5(x193,x192,x194)+~E(x191,x192)+~P5(x193,x191,x194) % 58.36/58.57 [20]P5(x203,x204,x202)+~E(x201,x202)+~P5(x203,x204,x201) % 58.36/58.57 [21]P3(x212,x213,x214)+~E(x211,x212)+~P3(x211,x213,x214) % 58.36/58.57 [22]P3(x223,x222,x224)+~E(x221,x222)+~P3(x223,x221,x224) % 58.36/58.57 [23]P3(x233,x234,x232)+~E(x231,x232)+~P3(x233,x234,x231) % 58.36/58.57 % 58.36/58.57 %------------------------------------------- % 58.36/58.57 cnf(38,plain, % 58.36/58.57 (~P2(x381,x381)), % 58.36/58.57 inference(equality_inference,[],[31])). % 58.36/58.57 cnf(42,plain, % 58.36/58.57 (~P2(x421,x421)), % 58.36/58.57 inference(rename_variables,[],[38])). % 58.36/58.57 cnf(45,plain, % 58.36/58.57 (P1(x451,a4)+~E(a1,x451)), % 58.36/58.57 inference(scs_inference,[],[24,26,38,42,32,13,14,8])). % 58.36/58.57 cnf(60,plain, % 58.36/58.57 (~P2(x601,x601)), % 58.36/58.57 inference(rename_variables,[],[38])). % 58.36/58.57 cnf(66,plain, % 58.36/58.57 (P1(a1,x661)+~E(a7,x661)), % 58.36/58.57 inference(scs_inference,[],[25,27,30,28,38,60,32,13,14,19,20,11,9])). % 58.36/58.57 cnf(241,plain, % 58.36/58.57 (P3(x2411,f3(x2411,a4),a4)+~E(a1,x2411)), % 58.36/58.58 inference(scs_inference,[],[34,45])). % 58.36/58.58 cnf(242,plain, % 58.36/58.58 (P3(a1,f3(a1,a4),a4)), % 58.36/58.58 inference(equality_inference,[],[241])). % 58.36/58.58 cnf(1294,plain, % 58.36/58.58 (P4(x12941,f2(x12941,a4),a4)+~E(a1,x12941)), % 58.36/58.58 inference(scs_inference,[],[45,33])). % 58.36/58.58 cnf(1295,plain, % 58.36/58.58 (P4(a1,f2(a1,a4),a4)), % 58.36/58.58 inference(equality_inference,[],[1294])). % 58.36/58.58 cnf(1848,plain, % 58.36/58.58 (P4(a1,f2(a1,x18481),x18481)+~E(a7,x18481)), % 58.36/58.58 inference(scs_inference,[],[66,33])). % 58.36/58.58 cnf(1849,plain, % 58.36/58.58 (P4(a1,f2(a1,a7),a7)), % 58.36/58.58 inference(equality_inference,[],[1848])). % 58.36/58.58 cnf(2122,plain, % 58.36/58.58 (P3(a1,f3(a1,x21221),x21221)+~E(a7,x21221)), % 58.36/58.58 inference(scs_inference,[],[66,34])). % 58.36/58.58 cnf(2123,plain, % 58.36/58.58 (P3(a1,f3(a1,a7),a7)), % 58.36/58.58 inference(equality_inference,[],[2122])). % 58.36/58.58 cnf(7248,plain, % 58.36/58.58 (E(f3(a1,a4),f3(a1,a7))), % 58.36/58.58 inference(scs_inference,[],[28,24,25,2123,242,35])). % 58.36/58.58 cnf(7334,plain, % 58.36/58.58 (P3(a1,f3(a1,a7),a4)), % 58.36/58.58 inference(scs_inference,[],[7248,242,22])). % 58.36/58.58 cnf(7881,plain, % 58.36/58.58 (~P2(f2(a1,a4),f2(a1,a7))), % 58.36/58.58 inference(scs_inference,[],[24,1849,1295,27,28,25,36,32])). % 58.36/58.58 cnf(7899,plain, % 58.36/58.58 ($false), % 58.36/58.58 inference(scs_inference,[],[24,7334,7881,1849,1295,26,2123,30,25,29,37]), % 58.36/58.58 ['proof']). % 58.36/58.58 % SZS output end Proof % 58.36/58.58 % Total time :58.068246s %------------------------------------------------------------------------------