%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MGT006+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 : 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 06:04:14 AM UTC 2026 % Result : Theorem 58.34s 58.54s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT006+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.08/0.35 % Computer : n011.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 11:41:45 UTC 2026 % 0.08/0.35 % CPUTime : % 0.23/0.50 start to proof:theBenchmark % 58.34/58.53 %------------------------------------------- % 58.34/58.53 % File :CSE---1.7 % 58.34/58.53 % Problem :theBenchmark % 58.34/58.53 % Transform :cnf % 58.34/58.53 % Format :tptp:raw % 58.34/58.53 % Command :java -jar mcs_scs.jar %d %s % 58.34/58.53 % 58.34/58.53 % Result :Theorem 58.012647s % 58.34/58.53 % Output :CNFRefutation 58.012647s % 58.34/58.53 %------------------------------------------- % 58.34/58.53 %-------------------------------------------------------------------------- % 58.34/58.53 % File : MGT006+1 : TPTP v9.3.0. Released v2.0.0. % 58.34/58.53 % Domain : Management (Organisation Theory) % 58.34/58.53 % Problem : Reliability and accountability increase with time. % 58.34/58.53 % Version : Especial. % 58.34/58.53 % Theorem formulation : Different. % 58.34/58.53 % English : % 58.34/58.53 % 58.34/58.53 % Refs : [PB+92] Peli et al. (1992), A Logical Approach to Formalizing % 58.34/58.53 % : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing % 58.34/58.53 % : [Kam94] Kamps (1994), Email to G. Sutcliffe % 58.34/58.53 % Source : [Kam94] % 58.34/58.53 % Names : THEOREM 6 [PB+92] % 58.34/58.53 % : T6FOL2 [PB+94] % 58.34/58.53 % 58.34/58.53 % Status : Theorem % 58.34/58.53 % Rating : 0.00 v9.3.0, 0.05 v9.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.50 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.00 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.1.0 % 58.34/58.53 % Syntax : Number of formulae : 4 ( 0 unt; 0 def) % 58.34/58.53 % Number of atoms : 30 ( 0 equ) % 58.34/58.53 % Maximal formula atoms : 11 ( 7 avg) % 58.34/58.53 % Number of connectives : 26 ( 0 ~; 0 |; 21 &) % 58.34/58.53 % ( 1 <=>; 4 =>; 0 <=; 0 <~>) % 58.34/58.53 % Maximal formula depth : 19 ( 13 avg) % 58.34/58.53 % Maximal term depth : 1 ( 1 avg) % 58.34/58.53 % Number of predicates : 6 ( 6 usr; 0 prp; 2-3 aty) % 58.34/58.53 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 58.34/58.53 % Number of variables : 25 ( 24 !; 1 ?) % 58.34/58.53 % SPC : FOF_THM_RFO_NEQ % 58.34/58.53 % 58.34/58.53 % Comments : Contains one less theorem predicate than [Kam94]. % 58.34/58.53 %-------------------------------------------------------------------------- % 58.34/58.53 fof(mp3,axiom, % 58.34/58.53 ! [X,T] : % 58.34/58.53 ( organization(X,T) % 58.34/58.53 => ? [Rp] : reproducibility(X,Rp,T) ) ). % 58.34/58.53 % 58.34/58.53 %----Reliability and accountability require that organizational % 58.34/58.53 %----structures be highly reproducible. % 58.34/58.53 fof(a2_FOL,hypothesis, % 58.34/58.53 ! [X,Y,T1,T2,R1,R2,A1,A2,Rp1,Rp2] : % 58.34/58.54 ( ( organization(X,T1) % 58.34/58.54 & organization(Y,T2) % 58.34/58.54 & reliability(X,R1,T1) % 58.34/58.54 & reliability(Y,R2,T2) % 58.34/58.54 & accountability(X,A1,T1) % 58.34/58.54 & accountability(Y,A2,T2) % 58.34/58.54 & reproducibility(X,Rp1,T1) % 58.34/58.54 & reproducibility(Y,Rp2,T2) ) % 58.34/58.54 => ( greater(Rp2,Rp1) % 58.34/58.54 <=> ( greater(R2,R1) % 58.34/58.54 & greater(A2,A1) ) ) ) ). % 58.34/58.54 % 58.34/58.54 %----Reproducibility of structure increases monotonically with age. % 58.34/58.54 fof(a4_FOL,hypothesis, % 58.34/58.54 ! [X,Rp1,Rp2,T1,T2] : % 58.34/58.54 ( ( organization(X,T1) % 58.34/58.54 & organization(X,T2) % 58.34/58.54 & reorganization_free(X,T1,T2) % 58.34/58.54 & reproducibility(X,Rp1,T1) % 58.34/58.54 & reproducibility(X,Rp2,T2) % 58.34/58.54 & greater(T2,T1) ) % 58.34/58.54 => greater(Rp2,Rp1) ) ). % 58.34/58.54 % 58.34/58.54 fof(t6_FOL,conjecture, % 58.34/58.54 ! [X,R1,R2,A1,A2,T1,T2] : % 58.34/58.54 ( ( organization(X,T1) % 58.34/58.54 & organization(X,T2) % 58.34/58.54 & reorganization_free(X,T1,T2) % 58.34/58.54 & reliability(X,R1,T1) % 58.34/58.54 & reliability(X,R2,T2) % 58.34/58.54 & accountability(X,A1,T1) % 58.34/58.54 & accountability(X,A2,T2) % 58.34/58.54 & greater(T2,T1) ) % 58.34/58.54 => ( greater(R2,R1) % 58.34/58.54 & greater(A2,A1) ) ) ). % 58.34/58.54 % 58.34/58.54 %-------------------------------------------------------------------------- % 58.34/58.54 %------------------------------------------- % 58.34/58.54 % Proof found % 58.34/58.54 % SZS status Theorem for theBenchmark % 58.34/58.54 % SZS output start Proof % 58.34/58.54 %ClaNum:14(EqnAxiom:0) % 58.34/58.54 %VarNum:103(SingletonVarNum:37) % 58.34/58.54 %MaxLitNum:11 % 58.34/58.54 %MaxfuncDepth:1 % 58.34/58.54 %SharedTerms:17 % 58.34/58.54 %goalClause: 1 2 3 4 5 6 7 8 9 % 58.34/58.54 %singleGoalClaCount:8 % 58.34/58.54 [1]P1(a1,a3) % 58.34/58.54 [2]P1(a1,a8) % 58.34/58.54 [3]P2(a8,a3) % 58.34/58.54 [4]P4(a1,a4,a3) % 58.34/58.54 [5]P4(a1,a5,a8) % 58.34/58.54 [6]P3(a1,a6,a3) % 58.34/58.54 [7]P3(a1,a7,a8) % 58.34/58.54 [8]P5(a1,a3,a8) % 58.34/58.54 [9]~P2(a5,a4)+~P2(a7,a6) % 58.34/58.54 [10]~P1(x101,x102)+P6(x101,f2(x101,x102),x102) % 58.34/58.54 [11]~P2(x114,x115)+~P6(x113,x111,x114)+~P6(x113,x112,x115)+~P5(x113,x115,x114)+P2(x111,x112)+~P1(x113,x114)+~P1(x113,x115) % 58.34/58.54 [12]~P6(x123,x127,x124)+~P6(x125,x128,x126)+~P3(x123,x121,x124)+~P3(x125,x122,x126)+P2(x121,x122)+~P1(x123,x124)+~P4(x123,x129,x124)+~P1(x125,x126)+~P4(x125,x1210,x126)+~P2(x127,x128) % 58.34/58.54 [13]~P6(x133,x137,x134)+~P6(x135,x138,x136)+~P4(x133,x131,x134)+~P4(x135,x132,x136)+P2(x131,x132)+~P1(x133,x134)+~P3(x133,x139,x134)+~P1(x135,x136)+~P3(x135,x1310,x136)+~P2(x137,x138) % 58.34/58.54 [14]~P6(x143,x141,x144)+~P6(x145,x142,x146)+~P4(x143,x149,x144)+~P4(x145,x1410,x146)+~P3(x143,x147,x144)+~P3(x145,x148,x146)+P2(x141,x142)+~P1(x143,x144)+~P1(x145,x146)+~P2(x147,x148)+~P2(x149,x1410) % 58.34/58.54 %EqnAxiom % 58.34/58.54 % 58.34/58.54 %------------------------------------------- % 58.46/58.65 cnf(15,plain, % 58.46/58.65 (P2(x151,x152)+~P6(a1,x151,a8)+~P6(a1,x152,a3)), % 58.46/58.65 inference(scs_inference,[],[1,2,3,8,11])). % 58.46/58.65 cnf(117275,plain, % 58.46/58.65 (P6(a1,f2(a1,a3),a3)), % 58.46/58.65 inference(scs_inference,[],[1,10])). % 58.46/58.65 cnf(117282,plain, % 58.46/58.65 (P6(a1,f2(a1,a8),a8)), % 58.46/58.65 inference(scs_inference,[],[2,10])). % 58.46/58.65 cnf(117284,plain, % 58.46/58.65 (P2(f2(a1,a8),f2(a1,a3))), % 58.46/58.65 inference(scs_inference,[],[117275,2,10,15])). % 58.46/58.65 cnf(117286,plain, % 58.46/58.65 (P2(a5,a4)), % 58.46/58.65 inference(scs_inference,[],[1,117275,5,7,4,6,2,10,15,13])). % 58.46/58.65 cnf(117291,plain, % 58.46/58.65 (~P2(a7,a6)), % 58.46/58.65 inference(scs_inference,[],[117286,9])). % 58.46/58.65 cnf(117292,plain, % 58.46/58.65 (P2(a7,a6)), % 58.46/58.65 inference(scs_inference,[],[1,117284,117282,117275,5,7,4,6,2,12])). % 58.46/58.65 cnf(117299,plain, % 58.46/58.65 ($false), % 58.46/58.65 inference(scs_inference,[],[117291,117292]), % 58.46/58.65 ['proof']). % 58.46/58.68 % SZS output end Proof % 58.46/58.68 % Total time :58.012647s %------------------------------------------------------------------------------