%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MGT012+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/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 06:04:15 AM UTC 2026 % Result : Theorem 58.39s 58.57s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT012+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.09/0.33 % Computer : n016.cluster.edu % 0.09/0.33 % Model : x86_64 x86_64 % 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.33 % Memory : 8046.5625MB % 0.09/0.33 % OS : Linux 6.8.0-71-generic % 0.09/0.33 % CPULimit : 300 % 0.09/0.33 % WCLimit : 300 % 0.09/0.33 % DateTime : Mon Sep 7 11:54:32 UTC 2026 % 0.09/0.34 % CPUTime : % 0.24/0.50 start to proof:theBenchmark % 58.39/58.56 %------------------------------------------- % 58.39/58.56 % File :CSE---1.7 % 58.39/58.56 % Problem :theBenchmark % 58.39/58.56 % Transform :cnf % 58.39/58.56 % Format :tptp:raw % 58.39/58.56 % Command :java -jar mcs_scs.jar %d %s % 58.39/58.56 % 58.39/58.56 % Result :Theorem 58.075890s % 58.39/58.56 % Output :CNFRefutation 58.075890s % 58.39/58.56 %------------------------------------------- % 58.39/58.57 %-------------------------------------------------------------------------- % 58.39/58.57 % File : MGT012+1 : TPTP v9.3.0. Released v2.0.0. % 58.39/58.57 % Domain : Management (Organisation Theory) % 58.39/58.57 % Problem : Complexity of an organization cannot get smaller by age % 58.39/58.57 % Version : [PB+94] axioms. % 58.39/58.57 % English : Complexity of an organization cannot get smaller by age in % 58.39/58.57 % lack of reorganization. % 58.39/58.57 % 58.39/58.57 % Refs : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing % 58.39/58.57 % : [Kam94] Kamps (1994), Email to G. Sutcliffe % 58.39/58.57 % : [Kam95] Kamps (1995), Email to G. Sutcliffe % 58.39/58.57 % Source : [Kam94] % 58.39/58.57 % Names : % 58.39/58.57 % 58.39/58.57 % Status : Theorem % 58.39/58.57 % Rating : 0.26 v9.3.0, 0.15 v9.1.0, 0.12 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, 0.27 v6.0.0, 0.26 v5.5.0, 0.19 v5.4.0, 0.18 v5.3.0, 0.22 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 % 58.39/58.57 % Syntax : Number of formulae : 8 ( 0 unt; 0 def) % 58.39/58.57 % Number of atoms : 38 ( 2 equ) % 58.39/58.57 % Maximal formula atoms : 10 ( 4 avg) % 58.39/58.57 % Number of connectives : 33 ( 3 ~; 0 |; 24 &) % 58.39/58.57 % ( 0 <=>; 6 =>; 0 <=; 0 <~>) % 58.39/58.57 % Maximal formula depth : 19 ( 9 avg) % 58.39/58.57 % Maximal term depth : 1 ( 1 avg) % 58.39/58.57 % Number of predicates : 7 ( 6 usr; 0 prp; 2-3 aty) % 58.39/58.57 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 58.39/58.57 % Number of variables : 34 ( 32 !; 2 ?) % 58.39/58.57 % SPC : FOF_THM_RFO_SEQ % 58.39/58.57 % 58.39/58.57 % Comments : "Not published due to publication constraints." [Kam95]. % 58.39/58.57 %-------------------------------------------------------------------------- % 58.39/58.57 %----Subsitution axioms % 58.39/58.57 %----Problem axioms % 58.39/58.57 fof(mp5,axiom, % 58.39/58.57 ! [X,T] : % 58.39/58.57 ( organization(X,T) % 58.39/58.57 => ? [I] : inertia(X,I,T) ) ). % 58.39/58.57 % 58.39/58.57 fof(mp6_1,axiom, % 58.39/58.57 ! [X,Y] : % 58.39/58.57 ~ ( greater(X,Y) % 58.39/58.57 & X = Y ) ). % 58.39/58.57 % 58.39/58.57 fof(mp6_2,axiom, % 58.39/58.57 ! [X,Y] : % 58.39/58.57 ~ ( greater(X,Y) % 58.39/58.57 & greater(Y,X) ) ). % 58.39/58.57 % 58.39/58.57 fof(mp9,axiom, % 58.39/58.57 ! [X,T] : % 58.39/58.57 ( organization(X,T) % 58.39/58.57 => ? [C] : class(X,C,T) ) ). % 58.39/58.57 % 58.39/58.57 %----Class cannot change without reorganization. % 58.39/58.57 fof(mp10,axiom, % 58.39/58.57 ! [X,T1,T2,C1,C2] : % 58.39/58.57 ( ( organization(X,T1) % 58.39/58.57 & organization(X,T2) % 58.39/58.57 & reorganization_free(X,T1,T2) % 58.39/58.57 & class(X,C1,T1) % 58.39/58.57 & class(X,C2,T2) ) % 58.39/58.57 => C1 = C2 ) ). % 58.39/58.57 % 58.39/58.57 fof(a12_FOL,hypothesis, % 58.39/58.57 ! [X,Y,C,C1,C2,I1,I2,T1,T2] : % 58.39/58.57 ( ( organization(X,T1) % 58.39/58.57 & organization(Y,T2) % 58.39/58.57 & class(X,C,T1) % 58.39/58.57 & class(Y,C,T2) % 58.39/58.57 & complexity(X,C1,T1) % 58.39/58.57 & complexity(Y,C2,T2) % 58.39/58.57 & inertia(X,I1,T1) % 58.39/58.57 & inertia(Y,I2,T2) % 58.39/58.57 & greater(C2,C1) ) % 58.39/58.57 => greater(I2,I1) ) ). % 58.39/58.57 % 58.39/58.57 fof(t2_FOL,hypothesis, % 58.39/58.57 ! [X,I1,I2,T1,T2] : % 58.39/58.57 ( ( organization(X,T1) % 58.39/58.57 & organization(X,T2) % 58.39/58.57 & reorganization_free(X,T1,T2) % 58.39/58.57 & inertia(X,I1,T1) % 58.39/58.57 & inertia(X,I2,T2) % 58.39/58.57 & greater(T2,T1) ) % 58.39/58.57 => greater(I2,I1) ) ). % 58.39/58.57 % 58.39/58.57 fof(t12_FOL,conjecture, % 58.39/58.57 ! [X,C1,C2,T1,T2] : % 58.39/58.57 ( ( organization(X,T1) % 58.39/58.57 & organization(X,T2) % 58.39/58.57 & reorganization_free(X,T1,T2) % 58.39/58.57 & complexity(X,C1,T1) % 58.39/58.57 & complexity(X,C2,T2) % 58.39/58.57 & greater(T2,T1) ) % 58.39/58.57 => ~ greater(C1,C2) ) ). % 58.39/58.57 % 58.39/58.57 %-------------------------------------------------------------------------- % 58.39/58.57 %------------------------------------------- % 58.39/58.57 % Proof found % 58.39/58.57 % SZS status Theorem for theBenchmark % 58.39/58.57 % SZS output start Proof % 58.39/58.57 %ClaNum:37(EqnAxiom:23) % 58.39/58.57 %VarNum:78(SingletonVarNum:27) % 58.39/58.57 %MaxLitNum:10 % 58.39/58.57 %MaxfuncDepth:1 % 58.39/58.57 %SharedTerms:12 % 58.39/58.57 %goalClause: 24 25 26 27 28 29 30 % 58.39/58.57 %singleGoalClaCount:7 % 58.39/58.57 [24]P1(a1,a4) % 58.39/58.57 [25]P1(a1,a7) % 58.39/58.57 [26]P2(a5,a6) % 58.39/58.57 [27]P2(a7,a4) % 58.39/58.57 [28]P6(a1,a4,a7) % 58.39/58.57 [29]P3(a1,a5,a4) % 58.39/58.57 [30]P3(a1,a6,a7) % 58.39/58.57 [31]~P2(x311,x312)+~E(x311,x312) % 58.39/58.57 [32]~P2(x322,x321)+~P2(x321,x322) % 58.39/58.57 [33]~P1(x331,x332)+P5(x331,f2(x331,x332),x332) % 58.39/58.57 [34]~P1(x341,x342)+P4(x341,f3(x341,x342),x342) % 58.39/58.57 [35]~P4(x353,x352,x354)+~P4(x353,x351,x355)+~P6(x353,x355,x354)+E(x351,x352)+~P1(x353,x354)+~P1(x353,x355) % 58.39/58.57 [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) % 58.39/58.57 [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) % 58.39/58.57 %EqnAxiom % 58.39/58.57 [1]E(x11,x11) % 58.39/58.57 [2]E(x22,x21)+~E(x21,x22) % 58.39/58.57 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.39/58.57 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 58.39/58.57 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 58.39/58.57 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63)) % 58.39/58.57 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72)) % 58.39/58.57 [8]P1(x82,x83)+~E(x81,x82)+~P1(x81,x83) % 58.39/58.57 [9]P1(x93,x92)+~E(x91,x92)+~P1(x93,x91) % 58.39/58.57 [10]P3(x102,x103,x104)+~E(x101,x102)+~P3(x101,x103,x104) % 58.39/58.57 [11]P3(x113,x112,x114)+~E(x111,x112)+~P3(x113,x111,x114) % 58.39/58.57 [12]P3(x123,x124,x122)+~E(x121,x122)+~P3(x123,x124,x121) % 58.39/58.57 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133) % 58.39/58.57 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141) % 58.39/58.57 [15]P5(x152,x153,x154)+~E(x151,x152)+~P5(x151,x153,x154) % 58.39/58.57 [16]P5(x163,x162,x164)+~E(x161,x162)+~P5(x163,x161,x164) % 58.39/58.57 [17]P5(x173,x174,x172)+~E(x171,x172)+~P5(x173,x174,x171) % 58.39/58.57 [18]P6(x182,x183,x184)+~E(x181,x182)+~P6(x181,x183,x184) % 58.39/58.57 [19]P6(x193,x192,x194)+~E(x191,x192)+~P6(x193,x191,x194) % 58.39/58.58 [20]P6(x203,x204,x202)+~E(x201,x202)+~P6(x203,x204,x201) % 58.39/58.58 [21]P4(x212,x213,x214)+~E(x211,x212)+~P4(x211,x213,x214) % 58.39/58.58 [22]P4(x223,x222,x224)+~E(x221,x222)+~P4(x223,x221,x224) % 58.39/58.58 [23]P4(x233,x234,x232)+~E(x231,x232)+~P4(x233,x234,x231) % 58.39/58.58 % 58.39/58.58 %------------------------------------------- % 58.39/58.58 cnf(38,plain, % 58.39/58.58 (~P2(x381,x381)), % 58.39/58.58 inference(equality_inference,[],[31])). % 58.39/58.58 cnf(42,plain, % 58.39/58.58 (~P2(x421,x421)), % 58.39/58.58 inference(rename_variables,[],[38])). % 58.39/58.58 cnf(45,plain, % 58.39/58.58 (P1(x451,a4)+~E(a1,x451)), % 58.39/58.58 inference(scs_inference,[],[24,26,38,42,32,13,14,8])). % 58.39/58.58 cnf(70,plain, % 58.39/58.58 (P1(a1,x701)+~E(a7,x701)), % 58.39/58.58 inference(scs_inference,[],[25,9])). % 58.39/58.58 cnf(241,plain, % 58.39/58.58 (P4(x2411,f3(x2411,a4),a4)+~E(a1,x2411)), % 58.39/58.58 inference(scs_inference,[],[34,45])). % 58.39/58.58 cnf(242,plain, % 58.39/58.58 (P4(a1,f3(a1,a4),a4)), % 58.39/58.58 inference(equality_inference,[],[241])). % 58.39/58.58 cnf(1279,plain, % 58.39/58.58 (P5(x12791,f2(x12791,a4),a4)+~E(a1,x12791)), % 58.39/58.58 inference(scs_inference,[],[45,33])). % 58.39/58.58 cnf(1280,plain, % 58.39/58.58 (P5(a1,f2(a1,a4),a4)), % 58.39/58.58 inference(equality_inference,[],[1279])). % 58.39/58.58 cnf(1815,plain, % 58.39/58.58 (P5(a1,f2(a1,x18151),x18151)+~E(a7,x18151)), % 58.39/58.58 inference(scs_inference,[],[70,33])). % 58.39/58.58 cnf(1816,plain, % 58.39/58.58 (P5(a1,f2(a1,a7),a7)), % 58.39/58.58 inference(equality_inference,[],[1815])). % 58.39/58.58 cnf(2089,plain, % 58.39/58.58 (P4(a1,f3(a1,x20891),x20891)+~E(a7,x20891)), % 58.39/58.58 inference(scs_inference,[],[70,34])). % 58.39/58.58 cnf(2090,plain, % 58.39/58.58 (P4(a1,f3(a1,a7),a7)), % 58.39/58.58 inference(equality_inference,[],[2089])). % 58.39/58.58 cnf(7259,plain, % 58.39/58.58 (E(f3(a1,a4),f3(a1,a7))), % 58.39/58.58 inference(scs_inference,[],[24,25,28,2090,242,35])). % 58.39/58.58 cnf(7352,plain, % 58.39/58.58 (P4(a1,f3(a1,a7),a4)), % 58.39/58.58 inference(scs_inference,[],[7259,242,22])). % 58.39/58.58 cnf(7812,plain, % 58.39/58.58 (~P2(f2(a1,a4),f2(a1,a7))), % 58.39/58.58 inference(scs_inference,[],[24,1816,1280,25,27,28,36,32])). % 58.39/58.58 cnf(7831,plain, % 58.39/58.58 ($false), % 58.39/58.58 inference(scs_inference,[],[24,7812,7352,1816,1280,25,26,30,29,2090,37]), % 58.39/58.58 ['proof']). % 58.39/58.58 % SZS output end Proof % 58.39/58.58 % Total time :58.075890s %------------------------------------------------------------------------------