%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MGT023-1 : 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 : n008.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 06:04:16 AM UTC 2026 % Result : Unsatisfiable 117.59s 117.70s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT023-1 : 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 % 0.06/0.34 % Computer : n008.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 12:07:53 UTC 2026 % 0.06/0.34 % CPUTime : % 0.24/0.51 start to proof:theBenchmark % 117.48/117.69 %------------------------------------------- % 117.48/117.69 % File :CSE---1.7 % 117.48/117.69 % Problem :theBenchmark % 117.48/117.69 % Transform :cnf % 117.48/117.69 % Format :tptp:raw % 117.48/117.69 % Command :java -jar mcs_scs.jar %d %s % 117.48/117.69 % 117.48/117.69 % Result :Theorem 117.192399s % 117.48/117.69 % Output :CNFRefutation 117.192399s % 117.48/117.69 %------------------------------------------- % 117.48/117.69 %-------------------------------------------------------------------------- % 117.48/117.69 % File : MGT023-1 : TPTP v9.3.0. Released v2.4.0. % 117.48/117.69 % Domain : Management (Organisation Theory) % 117.48/117.69 % Problem : Stable environments have a critical point. % 117.48/117.69 % Version : [PB+94] axioms : Reduced & Augmented > Complete. % 117.48/117.69 % English : % 117.48/117.69 % 117.48/117.69 % Refs : [PM93] Peli & Masuch (1993), The Logic of Propogation Strateg % 117.48/117.69 % : [PM94] Peli & Masuch (1994), The Logic of Propogation Strateg % 117.48/117.69 % : [Kam95] Kamps (1995), Email to G. Sutcliffe % 117.48/117.69 % Source : [TPTP] % 117.48/117.69 % Names : % 117.48/117.69 % 117.48/117.69 % Status : Unsatisfiable % 117.48/117.69 % Rating : 0.08 v9.3.0, 0.05 v9.0.0, 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.2.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.17 v2.6.0, 0.11 v2.4.0 % 117.48/117.69 % Syntax : Number of clauses : 9 ( 3 unt; 3 nHn; 9 RR) % 117.48/117.69 % Number of literals : 29 ( 3 equ; 17 neg) % 117.48/117.69 % Maximal clause size : 5 ( 3 avg) % 117.48/117.69 % Maximal term depth : 3 ( 1 avg) % 117.48/117.69 % Number of predicates : 6 ( 5 usr; 0 prp; 1-4 aty) % 117.48/117.69 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty) % 117.48/117.69 % Number of variables : 10 ( 0 sgn) % 117.48/117.69 % SPC : CNF_UNS_RFO_SEQ_NHN % 117.48/117.69 % 117.48/117.69 % Comments : Created with tptp2X -f tptp -t clausify:otter MGT023+1.p % 117.48/117.69 %-------------------------------------------------------------------------- % 117.48/117.69 cnf(d1_17,hypothesis, % 117.48/117.69 ( ~ environment(A) % 117.48/117.69 | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) % 117.48/117.70 | ~ in_environment(A,B) % 117.48/117.70 | subpopulations(first_movers,efficient_producers,A,sk1(B,A)) % 117.48/117.70 | B = critical_point(A) ) ). % 117.48/117.70 % 117.48/117.70 cnf(d1_18,hypothesis, % 117.48/117.70 ( ~ environment(A) % 117.48/117.70 | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) % 117.48/117.70 | ~ in_environment(A,B) % 117.48/117.70 | greater(sk1(B,A),B) % 117.48/117.70 | B = critical_point(A) ) ). % 117.48/117.70 % 117.48/117.70 cnf(d1_19,hypothesis, % 117.48/117.70 ( ~ environment(A) % 117.48/117.70 | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) % 117.48/117.70 | ~ in_environment(A,B) % 117.48/117.70 | ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A))) % 117.48/117.70 | B = critical_point(A) ) ). % 117.48/117.70 % 117.48/117.70 cnf(l12_20,hypothesis, % 117.48/117.70 ( ~ environment(A) % 117.48/117.70 | ~ stable(A) % 117.48/117.70 | in_environment(A,sk2(A)) ) ). % 117.48/117.70 % 117.48/117.70 cnf(l12_21,hypothesis, % 117.48/117.70 ( ~ environment(A) % 117.48/117.70 | ~ stable(A) % 117.48/117.70 | ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ). % 117.48/117.70 % 117.59/117.70 cnf(l12_22,hypothesis, % 117.59/117.70 ( ~ environment(A) % 117.59/117.70 | ~ stable(A) % 117.59/117.70 | ~ subpopulations(first_movers,efficient_producers,A,B) % 117.59/117.70 | ~ greater(B,sk2(A)) % 117.59/117.70 | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ). % 117.59/117.70 % 117.59/117.70 cnf(prove_l5_23,negated_conjecture, % 117.59/117.70 environment(sk3) ). % 117.59/117.70 % 117.59/117.70 cnf(prove_l5_24,negated_conjecture, % 117.59/117.70 stable(sk3) ). % 117.59/117.70 % 117.59/117.70 cnf(prove_l5_25,negated_conjecture, % 117.59/117.70 ~ in_environment(sk3,critical_point(sk3)) ). % 117.59/117.70 % 117.59/117.70 %-------------------------------------------------------------------------- % 117.59/117.70 %------------------------------------------- % 117.59/117.70 % Proof found % 117.59/117.70 % SZS status Theorem for theBenchmark % 117.59/117.70 % SZS output start Proof % 117.59/117.70 %ClaNum:28(EqnAxiom:19) % 117.59/117.70 %VarNum:47(SingletonVarNum:10) % 117.59/117.70 %MaxLitNum:5 % 117.59/117.70 %MaxfuncDepth:2 % 117.59/117.70 %SharedTerms:7 % 117.59/117.70 %goalClause: 20 21 22 % 117.59/117.70 %singleGoalClaCount:3 % 117.59/117.70 [20]P1(a1) % 117.59/117.70 [21]P2(a1) % 117.59/117.70 [22]~P3(a1,f2(a1)) % 117.59/117.70 [23]~P1(x231)+~P2(x231)+P3(x231,f3(x231)) % 117.59/117.70 [25]~P2(x251)+~P1(x251)+~P4(f6(a5,f3(x251)),f6(a7,f3(x251))) % 117.59/117.70 [24]~P1(x242)+~P3(x242,x241)+P4(f4(x241,x242),x241)+E(x241,f2(x242))+P4(f6(a5,x241),f6(a7,x241)) % 117.59/117.70 [27]~P1(x272)+~P3(x272,x271)+E(x271,f2(x272))+P5(a7,a5,x272,f4(x271,x272))+P4(f6(a5,x271),f6(a7,x271)) % 117.59/117.70 [28]~P2(x282)+~P1(x282)+~P4(x281,f3(x282))+~P5(a7,a5,x282,x281)+P4(f6(a5,x281),f6(a7,x281)) % 117.59/117.70 [26]~P1(x262)+~P3(x262,x261)+E(x261,f2(x262))+P4(f6(a5,x261),f6(a7,x261))+~P4(f6(a5,f4(x261,x262)),f6(a7,f4(x261,x262))) % 117.59/117.70 %EqnAxiom % 117.59/117.70 [1]E(x11,x11) % 117.59/117.70 [2]E(x22,x21)+~E(x21,x22) % 117.59/117.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 117.59/117.70 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 117.59/117.70 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 117.59/117.70 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63)) % 117.59/117.70 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72)) % 117.59/117.70 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83)) % 117.59/117.70 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92)) % 117.59/117.70 [10]~P1(x101)+P1(x102)+~E(x101,x102) % 117.59/117.70 [11]~P2(x111)+P2(x112)+~E(x111,x112) % 117.59/117.70 [12]P3(x122,x123)+~E(x121,x122)+~P3(x121,x123) % 117.59/117.70 [13]P3(x133,x132)+~E(x131,x132)+~P3(x133,x131) % 117.59/117.70 [14]P4(x142,x143)+~E(x141,x142)+~P4(x141,x143) % 117.59/117.70 [15]P4(x153,x152)+~E(x151,x152)+~P4(x153,x151) % 117.59/117.70 [16]P5(x162,x163,x164,x165)+~E(x161,x162)+~P5(x161,x163,x164,x165) % 117.59/117.70 [17]P5(x173,x172,x174,x175)+~E(x171,x172)+~P5(x173,x171,x174,x175) % 117.59/117.70 [18]P5(x183,x184,x182,x185)+~E(x181,x182)+~P5(x183,x184,x181,x185) % 117.59/117.70 [19]P5(x193,x194,x195,x192)+~E(x191,x192)+~P5(x193,x194,x195,x191) % 117.59/117.70 % 117.59/117.70 %------------------------------------------- % 117.59/117.70 cnf(37,plain, % 117.59/117.70 (~E(x371,a1)+P1(x371)), % 117.59/117.70 inference(scs_inference,[],[20,10,2])). % 117.59/117.70 cnf(39,plain, % 117.59/117.70 (~E(x391,a1)+P2(x391)), % 117.59/117.70 inference(scs_inference,[],[21,11,2])). % 117.59/117.70 cnf(41,plain, % 117.59/117.70 (P3(a1,f3(a1))), % 117.59/117.70 inference(scs_inference,[],[20,23,39])). % 117.59/117.70 cnf(42,plain, % 117.59/117.70 (~E(f3(a1),f2(a1))), % 117.59/117.70 inference(scs_inference,[],[22,41,13])). % 117.59/117.70 cnf(48,plain, % 117.59/117.70 (P4(x481,f3(a1))+~E(f4(f3(a1),a1),x481)+P4(f6(a5,f3(a1)),f6(a7,f3(a1)))), % 117.59/117.70 inference(scs_inference,[],[42,20,41,14,24])). % 117.59/117.70 cnf(49,plain, % 117.59/117.70 (P4(f4(f3(a1),a1),f3(a1))+P4(f6(a5,f3(a1)),f6(a7,f3(a1)))), % 117.59/117.70 inference(equality_inference,[],[48])). % 117.59/117.70 cnf(50,plain, % 117.59/117.70 (P4(f4(f3(a1),a1),f3(a1))), % 117.59/117.70 inference(scs_inference,[],[20,21,49,25])). % 117.59/117.70 cnf(57,plain, % 117.59/117.70 (P5(x571,a5,a1,f4(f3(a1),a1))+~E(a7,x571)+P4(f6(a5,f3(a1)),f6(a7,f3(a1)))), % 117.59/117.70 inference(scs_inference,[],[42,20,41,16,27])). % 117.59/117.70 cnf(58,plain, % 117.59/117.70 (P4(f6(a5,f3(a1)),f6(a7,f3(a1)))+P5(a7,a5,a1,f4(f3(a1),a1))), % 117.59/117.70 inference(equality_inference,[],[57])). % 117.59/117.70 cnf(59,plain, % 117.59/117.70 (P5(a7,a5,a1,f4(f3(a1),a1))), % 117.59/117.70 inference(scs_inference,[],[20,21,58,25])). % 117.59/117.70 cnf(69,plain, % 117.59/117.70 (~P4(f6(a5,f3(a1)),f6(a7,f3(a1)))), % 117.59/117.70 inference(scs_inference,[],[21,37,25])). % 117.59/117.70 cnf(80,plain, % 117.59/117.70 (~P4(f6(a5,f4(f3(a1),a1)),f6(a7,f4(f3(a1),a1)))), % 117.59/117.70 inference(scs_inference,[],[69,42,41,37,26])). % 117.59/117.70 cnf(863,plain, % 117.59/117.70 (~E(a1,x8631)+P2(x8631)), % 117.59/117.70 inference(scs_inference,[],[21,22,12,11])). % 117.59/117.70 cnf(906,plain, % 117.59/117.70 (P4(f6(a5,f4(f3(a1),a1)),f6(a7,f4(f3(a1),a1)))), % 117.59/117.70 inference(scs_inference,[],[59,50,20,863,28])). % 117.59/117.70 cnf(978,plain, % 117.59/117.70 ($false), % 117.59/117.70 inference(scs_inference,[],[80,906]), % 117.59/117.70 ['proof']). % 117.59/117.70 % SZS output end Proof % 117.59/117.70 % Total time :117.192399s 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