%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MGT020-1 : 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 : n003.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 58.58s 58.75s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT020-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.07/0.34 % Computer : n003.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Mon Sep 7 12:02:24 UTC 2026 % 0.07/0.35 % CPUTime : % 0.23/0.51 start to proof:theBenchmark % 58.58/58.74 %------------------------------------------- % 58.58/58.74 % File :CSE---1.7 % 58.58/58.74 % Problem :theBenchmark % 58.58/58.74 % Transform :cnf % 58.58/58.74 % Format :tptp:raw % 58.58/58.74 % Command :java -jar mcs_scs.jar %d %s % 58.58/58.74 % 58.58/58.74 % Result :Theorem 58.245359s % 58.58/58.74 % Output :CNFRefutation 58.245359s % 58.58/58.74 %------------------------------------------- % 58.58/58.74 %-------------------------------------------------------------------------- % 58.58/58.74 % File : MGT020-1 : TPTP v9.3.0. Released v2.4.0. % 58.58/58.74 % Domain : Management (Organisation Theory) % 58.58/58.74 % Problem : First movers exceeds efficient producers disbanding rate % 58.58/58.74 % Version : [PB+94] axioms. % 58.58/58.74 % English : % 58.58/58.74 % 58.58/58.74 % Refs : [PM93] Peli & Masuch (1993), The Logic of Propogation Strateg % 58.58/58.74 % : [PM94] Peli & Masuch (1994), The Logic of Propogation Strateg % 58.58/58.74 % : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing % 58.58/58.74 % : [Kam95] Kamps (1995), Email to G. Sutcliffe % 58.58/58.74 % Source : [TPTP] % 58.58/58.74 % Names : % 58.58/58.74 % 58.58/58.74 % Status : Unsatisfiable % 58.58/58.74 % 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 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.10 v5.4.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.09 v3.7.0, 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, 0.25 v2.6.0, 0.11 v2.5.0, 0.22 v2.4.0 % 58.58/58.74 % Syntax : Number of clauses : 14 ( 3 unt; 2 nHn; 14 RR) % 58.58/58.74 % Number of literals : 43 ( 1 equ; 29 neg) % 58.58/58.74 % Maximal clause size : 7 ( 3 avg) % 58.58/58.74 % Maximal term depth : 3 ( 1 avg) % 58.58/58.75 % Number of predicates : 7 ( 6 usr; 0 prp; 1-4 aty) % 58.58/58.75 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty) % 58.58/58.75 % Number of variables : 25 ( 0 sgn) % 58.58/58.75 % SPC : CNF_UNS_RFO_SEQ_NHN % 58.58/58.75 % 58.58/58.75 % Comments : Same as version with [PM93] axioms. % 58.58/58.75 % : Created with tptp2X -f tptp -t clausify:otter MGT020+1.p % 58.58/58.75 %-------------------------------------------------------------------------- % 58.58/58.75 cnf(l3_22,axiom, % 58.58/58.75 ( ~ environment(A) % 58.58/58.75 | ~ subpopulations(first_movers,efficient_producers,A,B) % 58.58/58.75 | ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ) ). % 58.58/58.75 % 58.58/58.75 cnf(mp_earliest_time_point_23,axiom, % 58.58/58.75 ( ~ environment(A) % 58.58/58.75 | ~ in_environment(A,initial_FM_EP(A)) % 58.58/58.75 | subpopulations(first_movers,efficient_producers,A,initial_FM_EP(A)) ) ). % 58.58/58.75 % 58.58/58.75 cnf(mp_earliest_time_point_24,axiom, % 58.58/58.75 ( ~ environment(A) % 58.58/58.75 | ~ subpopulations(first_movers,efficient_producers,A,B) % 58.58/58.75 | greater_or_equal(B,initial_FM_EP(A)) ) ). % 58.58/58.75 % 58.58/58.75 cnf(mp_positive_function_difference_25,axiom, % 58.58/58.75 ( ~ environment(A) % 58.58/58.75 | ~ greater_or_equal(B,C) % 58.58/58.75 | ~ greater_or_equal(D,B) % 58.58/58.75 | ~ subpopulations(first_movers,efficient_producers,A,D) % 58.58/58.75 | ~ greater(disbanding_rate(first_movers,C),disbanding_rate(efficient_producers,C)) % 58.58/58.75 | decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) % 58.58/58.75 | greater(disbanding_rate(first_movers,D),disbanding_rate(efficient_producers,D)) ) ). % 58.58/58.75 % 58.58/58.75 cnf(mp_time_point_occurs_26,axiom, % 58.58/58.75 ( ~ environment(A) % 58.58/58.75 | ~ subpopulations(first_movers,efficient_producers,A,B) % 58.58/58.75 | in_environment(A,B) ) ). % 58.58/58.75 % 58.58/58.75 cnf(mp_initial_time_27,axiom, % 58.58/58.75 ( ~ environment(A) % 58.58/58.75 | greater_or_equal(initial_FM_EP(A),start_time(A)) ) ). % 58.58/58.75 % 58.58/58.75 cnf(mp_times_in_order_28,axiom, % 58.58/58.75 ( ~ environment(A) % 58.58/58.75 | ~ greater_or_equal(B,start_time(A)) % 58.58/58.75 | ~ greater(C,B) % 58.58/58.75 | ~ in_environment(A,C) % 58.58/58.75 | in_environment(A,B) ) ). % 58.58/58.75 % 58.58/58.75 cnf(mp_greater_transitivity_29,axiom, % 58.58/58.75 ( ~ greater(A,B) % 58.58/58.75 | ~ greater(B,C) % 58.58/58.75 | greater(A,C) ) ). % 58.58/58.75 % 58.58/58.75 cnf(mp_greater_or_equal_30,axiom, % 58.58/58.75 ( ~ greater_or_equal(A,B) % 58.58/58.75 | greater(A,B) % 58.58/58.75 | A = B ) ). % 58.58/58.75 % 58.58/58.75 cnf(a8_31,hypothesis, % 58.58/58.75 ( ~ environment(A) % 58.58/58.75 | greater(disbanding_rate(first_movers,initial_FM_EP(A)),disbanding_rate(efficient_producers,initial_FM_EP(A))) ) ). % 58.58/58.75 % 58.58/58.75 cnf(a10_32,hypothesis, % 58.58/58.75 ( ~ environment(A) % 58.58/58.75 | ~ subpopulations(first_movers,efficient_producers,A,B) % 58.58/58.75 | ~ subpopulations(first_movers,efficient_producers,A,C) % 58.58/58.75 | ~ greater_or_equal(D,B) % 58.58/58.75 | ~ greater_or_equal(C,D) % 58.58/58.75 | subpopulations(first_movers,efficient_producers,A,D) ) ). % 58.58/58.75 % 58.58/58.75 cnf(prove_l2_33,negated_conjecture, % 58.58/58.75 environment(sk1) ). % 58.58/58.75 % 58.58/58.75 cnf(prove_l2_34,negated_conjecture, % 58.58/58.75 subpopulations(first_movers,efficient_producers,sk1,sk2) ). % 58.58/58.75 % 58.58/58.75 cnf(prove_l2_35,negated_conjecture, % 58.58/58.75 ~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) ). % 58.58/58.75 % 58.58/58.75 %-------------------------------------------------------------------------- % 58.58/58.75 %------------------------------------------- % 58.58/58.75 % Proof found % 58.58/58.75 % SZS status Theorem for theBenchmark % 58.58/58.75 % SZS output start Proof % 58.58/58.75 %ClaNum:35(EqnAxiom:21) % 58.58/58.75 %VarNum:71(SingletonVarNum:25) % 58.58/58.75 %MaxLitNum:7 % 58.58/58.75 %MaxfuncDepth:2 % 58.58/58.75 %SharedTerms:9 % 58.58/58.75 %goalClause: 22 23 24 % 58.58/58.75 %singleGoalClaCount:3 % 58.58/58.75 [22]P1(a1) % 58.58/58.75 [23]P3(a2,a3,a1,a7) % 58.58/58.75 [24]~P4(f4(a2,a7),f4(a3,a7)) % 58.58/58.75 [25]~P1(x251)+P5(f6(x251),f8(x251)) % 58.58/58.75 [28]~P1(x281)+P4(f4(a2,f6(x281)),f4(a3,f6(x281))) % 58.58/58.75 [30]~P1(x301)+~P6(x301,f6(x301))+P3(a2,a3,x301,f6(x301)) % 58.58/58.75 [26]P4(x261,x262)+~P5(x261,x262)+E(x261,x262) % 58.58/58.75 [31]~P1(x311)+P6(x311,x312)+~P3(a2,a3,x311,x312) % 58.58/58.75 [32]~P1(x322)+~P3(a2,a3,x322,x321)+P5(x321,f6(x322)) % 58.58/58.75 [33]~P1(x331)+~P3(a2,a3,x331,x332)+~P2(f5(f4(a2,x332),f4(a3,x332))) % 58.58/58.75 [27]~P4(x271,x273)+P4(x271,x272)+~P4(x273,x272) % 58.58/58.75 [29]~P1(x291)+~P4(x293,x292)+P6(x291,x292)+~P6(x291,x293)+~P5(x292,f8(x291)) % 58.58/58.75 [35]~P1(x351)+~P5(x352,x353)+~P5(x354,x352)+~P3(a2,a3,x351,x354)+~P3(a2,a3,x351,x353)+P3(a2,a3,x351,x352) % 58.58/58.75 [34]~P5(x341,x342)+~P5(x342,x344)+~P1(x343)+~P3(a2,a3,x343,x341)+~P4(f4(a2,x344),f4(a3,x344))+P4(f4(a2,x341),f4(a3,x341))+P2(f5(f4(a2,x342),f4(a3,x342))) % 58.58/58.75 %EqnAxiom % 58.58/58.75 [1]E(x11,x11) % 58.58/58.75 [2]E(x22,x21)+~E(x21,x22) % 58.58/58.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.58/58.75 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43)) % 58.58/58.75 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52)) % 58.58/58.75 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63)) % 58.58/58.75 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72)) % 58.58/58.75 [8]~E(x81,x82)+E(f6(x81),f6(x82)) % 58.58/58.75 [9]~E(x91,x92)+E(f8(x91),f8(x92)) % 58.58/58.75 [10]~P1(x101)+P1(x102)+~E(x101,x102) % 58.58/58.75 [11]P3(x112,x113,x114,x115)+~E(x111,x112)+~P3(x111,x113,x114,x115) % 58.58/58.75 [12]P3(x123,x122,x124,x125)+~E(x121,x122)+~P3(x123,x121,x124,x125) % 58.58/58.75 [13]P3(x133,x134,x132,x135)+~E(x131,x132)+~P3(x133,x134,x131,x135) % 58.58/58.75 [14]P3(x143,x144,x145,x142)+~E(x141,x142)+~P3(x143,x144,x145,x141) % 58.58/58.75 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153) % 58.58/58.75 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161) % 58.58/58.75 [17]P5(x172,x173)+~E(x171,x172)+~P5(x171,x173) % 58.58/58.75 [18]P5(x183,x182)+~E(x181,x182)+~P5(x183,x181) % 58.58/58.75 [19]~P2(x191)+P2(x192)+~E(x191,x192) % 58.58/58.75 [20]P6(x202,x203)+~E(x201,x202)+~P6(x201,x203) % 58.58/58.75 [21]P6(x213,x212)+~E(x211,x212)+~P6(x213,x211) % 58.58/58.75 % 58.58/58.75 %------------------------------------------- % 58.58/58.75 cnf(36,plain, % 58.58/58.75 (P6(a1,a7)), % 58.58/58.75 inference(scs_inference,[],[22,23,31])). % 58.58/58.75 cnf(82,plain, % 58.58/58.75 (~E(a1,x821)+P5(f6(x821),f8(x821))), % 58.58/58.75 inference(scs_inference,[],[22,25,10])). % 58.58/58.75 cnf(83,plain, % 58.58/58.75 (P5(f6(a1),f8(a1))), % 58.58/58.75 inference(equality_inference,[],[82])). % 58.58/58.75 cnf(249,plain, % 58.58/58.75 (~E(a1,x2491)+P4(f4(a2,f6(x2491)),f4(a3,f6(x2491)))), % 58.58/58.75 inference(scs_inference,[],[22,28,10])). % 58.58/58.75 cnf(250,plain, % 58.58/58.75 (P4(f4(a2,f6(a1)),f4(a3,f6(a1)))), % 58.58/58.75 inference(equality_inference,[],[249])). % 58.58/58.75 cnf(259,plain, % 58.58/58.75 (~E(f6(a1),a7)+~E(f4(a2,f6(a1)),f4(a2,a7))), % 58.58/58.75 inference(scs_inference,[],[24,250,15,16,5])). % 58.58/58.75 cnf(311,plain, % 58.58/58.75 (~E(f4(a2,a7),f4(a2,f6(a1)))+~E(f6(a1),a7)), % 58.58/58.75 inference(scs_inference,[],[259,2])). % 58.58/58.75 cnf(327,plain, % 58.58/58.75 (~E(a7,f6(a1))+~E(f4(a2,a7),f4(a2,f6(a1)))), % 58.58/58.75 inference(scs_inference,[],[311,2])). % 58.58/58.75 cnf(343,plain, % 58.58/58.75 (~E(a7,f6(a1))), % 58.58/58.75 inference(scs_inference,[],[327,5])). % 58.58/58.75 cnf(455,plain, % 58.58/58.75 (P5(a7,f6(a1))+~P3(a2,a3,a1,a7)), % 58.58/58.75 inference(scs_inference,[],[23,22,32,10])). % 58.58/58.75 cnf(456,plain, % 58.58/58.75 (P5(a7,f6(a1))), % 58.58/58.75 inference(scs_inference,[],[23,455])). % 58.58/58.75 cnf(459,plain, % 58.58/58.75 (P6(a1,f6(a1))), % 58.58/58.75 inference(scs_inference,[],[36,23,22,83,343,455,26,29])). % 58.58/58.75 cnf(470,plain, % 58.58/58.75 (P5(a7,x4701)+~E(f6(a1),x4701)), % 58.58/58.75 inference(scs_inference,[],[456,18])). % 58.58/58.75 cnf(496,plain, % 58.58/58.75 (~P6(a1,f6(a1))+P3(a2,a3,a1,f6(a1))), % 58.58/58.75 inference(scs_inference,[],[459,22,30,10])). % 58.58/58.75 cnf(497,plain, % 58.58/58.75 (P3(a2,a3,a1,f6(a1))), % 58.58/58.75 inference(scs_inference,[],[459,496])). % 58.58/58.75 cnf(529,plain, % 58.58/58.76 (E(f6(x5291),f6(x5292))+~E(x5292,x5291)), % 58.58/58.76 inference(scs_inference,[],[2,8])). % 58.58/58.76 cnf(733,plain, % 58.58/58.76 (~E(a1,x7331)+P5(a7,f6(x7331))), % 58.58/58.76 inference(scs_inference,[],[470,8])). % 58.58/58.76 cnf(739,plain, % 58.58/58.76 (~E(x7391,a1)+P5(a7,f6(x7391))), % 58.58/58.76 inference(scs_inference,[],[470,529])). % 58.58/58.76 cnf(874,plain, % 58.58/58.76 (~P5(f6(x8741),f6(a1))+~E(a1,x8741)+P2(f5(f4(a2,f6(x8741)),f4(a3,f6(x8741))))), % 58.58/58.76 inference(scs_inference,[],[250,24,23,22,733,34])). % 58.58/58.76 cnf(885,plain, % 58.58/58.76 (~P5(f6(x8851),f6(a1))+~E(x8851,a1)+P2(f5(f4(a2,f6(x8851)),f4(a3,f6(x8851))))), % 58.58/58.76 inference(scs_inference,[],[250,24,23,22,739,34])). % 58.58/58.76 cnf(1551,plain, % 58.58/58.76 ($false), % 58.58/58.76 inference(scs_inference,[],[22,497,456,250,24,23,32,33,874,885,34]), % 58.58/58.76 ['proof']). % 58.58/58.76 % SZS output end Proof % 58.58/58.76 % Total time :58.245359s %------------------------------------------------------------------------------