TSTP Solution File: MGT026-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT026-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:06:51 EDT 2023
% Result : Unsatisfiable 0.72s 0.78s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT026-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:39:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.72/0.77 %-------------------------------------------
% 0.72/0.77 % File :CSE---1.6
% 0.72/0.77 % Problem :theBenchmark
% 0.72/0.77 % Transform :cnf
% 0.72/0.77 % Format :tptp:raw
% 0.72/0.77 % Command :java -jar mcs_scs.jar %d %s
% 0.72/0.78
% 0.72/0.78 % Result :Theorem 0.150000s
% 0.72/0.78 % Output :CNFRefutation 0.150000s
% 0.72/0.78 %-------------------------------------------
% 0.72/0.78 %--------------------------------------------------------------------------
% 0.72/0.78 % File : MGT026-1 : TPTP v8.1.2. Released v2.4.0.
% 0.72/0.78 % Domain : Management (Organisation Theory)
% 0.72/0.78 % Problem : Selection favors efficient producers past the critical point
% 0.72/0.78 % Version : [PB+94] axioms : Reduced & Augmented > Complete.
% 0.72/0.78 % English :
% 0.72/0.78
% 0.72/0.78 % Refs : [PM93] Peli & Masuch (1993), The Logic of Propogation Strateg
% 0.72/0.78 % : [PM94] Peli & Masuch (1994), The Logic of Propogation Strateg
% 0.72/0.78 % : [Kam95] Kamps (1995), Email to G. Sutcliffe
% 0.72/0.78 % Source : [TPTP]
% 0.72/0.78 % Names :
% 0.72/0.78
% 0.72/0.78 % Status : Unsatisfiable
% 0.72/0.78 % Rating : 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 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.4.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0, 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 v2.5.0, 0.22 v2.4.0
% 0.72/0.78 % Syntax : Number of clauses : 18 ( 4 unt; 1 nHn; 18 RR)
% 0.72/0.78 % Number of literals : 52 ( 5 equ; 35 neg)
% 0.72/0.78 % Maximal clause size : 6 ( 2 avg)
% 0.72/0.78 % Maximal term depth : 2 ( 1 avg)
% 0.72/0.78 % Number of predicates : 8 ( 7 usr; 0 prp; 1-4 aty)
% 0.72/0.78 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 0.72/0.78 % Number of variables : 33 ( 0 sgn)
% 0.72/0.78 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.72/0.78
% 0.72/0.78 % Comments : Created with tptp2X -f tptp -t clausify:otter MGT026+1.p
% 0.72/0.78 %--------------------------------------------------------------------------
% 0.72/0.78 cnf(mp1_high_growth_rates_28,axiom,
% 0.72/0.78 ( ~ environment(A)
% 0.72/0.78 | ~ subpopulations(B,C,A,D)
% 0.72/0.78 | ~ greater(growth_rate(C,D),growth_rate(B,D))
% 0.72/0.78 | selection_favors(C,B,D) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(mp2_favour_members_29,axiom,
% 0.72/0.78 ( ~ environment(A)
% 0.72/0.78 | ~ subpopulation(B,A,C)
% 0.72/0.78 | ~ subpopulation(D,A,C)
% 0.72/0.78 | ~ greater(cardinality_at_time(B,C),zero)
% 0.72/0.78 | cardinality_at_time(D,C) != zero
% 0.72/0.78 | selection_favors(B,D,C) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(mp_non_empty_fm_and_ep_30,axiom,
% 0.72/0.78 ( ~ environment(A)
% 0.72/0.78 | ~ in_environment(A,B)
% 0.72/0.78 | ~ greater(cardinality_at_time(first_movers,B),zero)
% 0.72/0.78 | ~ greater(cardinality_at_time(efficient_producers,B),zero)
% 0.72/0.78 | subpopulations(first_movers,efficient_producers,A,B) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(mp_first_movers_exist_31,axiom,
% 0.72/0.78 ( ~ environment(A)
% 0.72/0.78 | ~ in_environment(A,B)
% 0.72/0.78 | greater_or_equal(cardinality_at_time(first_movers,B),zero) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(mp_subpopulations_32,axiom,
% 0.72/0.78 ( ~ environment(A)
% 0.72/0.78 | ~ in_environment(A,B)
% 0.72/0.78 | subpopulation(first_movers,A,B) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(mp_subpopulations_33,axiom,
% 0.72/0.78 ( ~ environment(A)
% 0.72/0.78 | ~ in_environment(A,B)
% 0.72/0.78 | subpopulation(efficient_producers,A,B) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(mp_critical_point_after_EP_34,axiom,
% 0.72/0.78 ( ~ environment(A)
% 0.72/0.78 | greater_or_equal(critical_point(A),appear(efficient_producers,A)) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(mp_greater_transitivity_35,axiom,
% 0.72/0.78 ( ~ greater(A,B)
% 0.72/0.78 | ~ greater(B,C)
% 0.72/0.78 | greater(A,C) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(mp_greater_or_equal_36,axiom,
% 0.72/0.78 ( ~ greater_or_equal(A,B)
% 0.72/0.78 | greater(A,B)
% 0.72/0.78 | A = B ) ).
% 0.72/0.78
% 0.72/0.78 cnf(mp_greater_or_equal_37,axiom,
% 0.72/0.78 ( ~ greater(A,B)
% 0.72/0.78 | greater_or_equal(A,B) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(mp_greater_or_equal_38,axiom,
% 0.72/0.78 ( A != B
% 0.72/0.78 | greater_or_equal(A,B) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(d1_39,hypothesis,
% 0.72/0.78 ( ~ environment(A)
% 0.72/0.78 | B != critical_point(A)
% 0.72/0.78 | ~ greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(d1_40,hypothesis,
% 0.72/0.78 ( ~ environment(A)
% 0.72/0.78 | B != critical_point(A)
% 0.72/0.78 | ~ subpopulations(first_movers,efficient_producers,A,C)
% 0.72/0.78 | ~ greater(C,B)
% 0.72/0.78 | greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(t6_41,hypothesis,
% 0.72/0.78 ( ~ environment(A)
% 0.72/0.78 | ~ in_environment(A,B)
% 0.72/0.78 | ~ greater_or_equal(B,appear(efficient_producers,A))
% 0.72/0.78 | greater(cardinality_at_time(efficient_producers,B),zero) ) ).
% 0.72/0.78
% 0.72/0.78 cnf(prove_l8_42,negated_conjecture,
% 0.72/0.78 environment(sk1) ).
% 0.72/0.78
% 0.72/0.78 cnf(prove_l8_43,negated_conjecture,
% 0.72/0.78 in_environment(sk1,sk2) ).
% 0.72/0.78
% 0.72/0.78 cnf(prove_l8_44,negated_conjecture,
% 0.72/0.78 greater(sk2,critical_point(sk1)) ).
% 0.72/0.78
% 0.72/0.78 cnf(prove_l8_45,negated_conjecture,
% 0.72/0.78 ~ selection_favors(efficient_producers,first_movers,sk2) ).
% 0.72/0.78
% 0.72/0.78 %--------------------------------------------------------------------------
% 0.72/0.78 %-------------------------------------------
% 0.72/0.78 % Proof found
% 0.72/0.78 % SZS status Theorem for theBenchmark
% 0.72/0.78 % SZS output start Proof
% 0.72/0.79 %ClaNum:45(EqnAxiom:27)
% 0.72/0.79 %VarNum:90(SingletonVarNum:33)
% 0.72/0.79 %MaxLitNum:6
% 0.72/0.79 %MaxfuncDepth:1
% 0.72/0.79 %SharedTerms:10
% 0.72/0.79 %goalClause: 28 29 30 31
% 0.72/0.79 %singleGoalClaCount:4
% 0.72/0.79 [28]P1(a1)
% 0.72/0.79 [29]P2(a1,a8)
% 0.72/0.79 [31]~P5(a5,a6,a8)
% 0.72/0.79 [30]P3(a8,f2(a1))
% 0.72/0.79 [35]~P1(x351)+P4(f2(x351),f3(a5,x351))
% 0.72/0.79 [32]~E(x321,x322)+P4(x321,x322)
% 0.72/0.79 [33]~P3(x331,x332)+P4(x331,x332)
% 0.72/0.79 [34]P3(x341,x342)+~P4(x341,x342)+E(x341,x342)
% 0.72/0.79 [38]~P1(x381)+~P2(x381,x382)+P6(a6,x381,x382)
% 0.72/0.79 [39]~P1(x391)+~P2(x391,x392)+P6(a5,x391,x392)
% 0.72/0.79 [37]~P2(x372,x371)+~P1(x372)+P4(f4(a6,x371),a9)
% 0.72/0.79 [40]~P1(x402)+~E(x401,f2(x402))+~P3(f7(a5,x401),f7(a6,x401))
% 0.72/0.79 [36]~P3(x361,x363)+P3(x361,x362)+~P3(x363,x362)
% 0.72/0.79 [41]~P2(x412,x411)+~P1(x412)+~P4(x411,f3(a5,x412))+P3(f4(a5,x411),a9)
% 0.72/0.79 [45]~P7(x452,x451,x454,x453)+P5(x451,x452,x453)+~P1(x454)+~P3(f7(x451,x453),f7(x452,x453))
% 0.72/0.79 [43]~P1(x431)+~P2(x431,x432)+P7(a6,a5,x431,x432)+~P3(f4(a6,x432),a9)+~P3(f4(a5,x432),a9)
% 0.72/0.79 [44]~P1(x443)+~P3(x441,x442)+~P7(a6,a5,x443,x441)+~E(x442,f2(x443))+P3(f7(a5,x441),f7(a6,x441))
% 0.72/0.79 [42]~P6(x422,x424,x423)+~P6(x421,x424,x423)+P5(x421,x422,x423)+~P1(x424)+~E(f4(x422,x423),a9)+~P3(f4(x421,x423),a9)
% 0.72/0.79 %EqnAxiom
% 0.72/0.79 [1]E(x11,x11)
% 0.72/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.72/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.72/0.79 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.72/0.79 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53))
% 0.72/0.79 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62))
% 0.72/0.79 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73))
% 0.72/0.79 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82))
% 0.72/0.79 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 0.72/0.79 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 0.72/0.79 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 0.72/0.79 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 0.72/0.79 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 0.72/0.79 [14]P3(x142,x143)+~E(x141,x142)+~P3(x141,x143)
% 0.72/0.79 [15]P3(x153,x152)+~E(x151,x152)+~P3(x153,x151)
% 0.72/0.79 [16]P5(x162,x163,x164)+~E(x161,x162)+~P5(x161,x163,x164)
% 0.72/0.79 [17]P5(x173,x172,x174)+~E(x171,x172)+~P5(x173,x171,x174)
% 0.72/0.79 [18]P5(x183,x184,x182)+~E(x181,x182)+~P5(x183,x184,x181)
% 0.72/0.79 [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193)
% 0.72/0.79 [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201)
% 0.72/0.79 [21]P7(x212,x213,x214,x215)+~E(x211,x212)+~P7(x211,x213,x214,x215)
% 0.72/0.79 [22]P7(x223,x222,x224,x225)+~E(x221,x222)+~P7(x223,x221,x224,x225)
% 0.72/0.79 [23]P7(x233,x234,x232,x235)+~E(x231,x232)+~P7(x233,x234,x231,x235)
% 0.72/0.79 [24]P7(x243,x244,x245,x242)+~E(x241,x242)+~P7(x243,x244,x245,x241)
% 0.72/0.79 [25]P6(x252,x253,x254)+~E(x251,x252)+~P6(x251,x253,x254)
% 0.72/0.79 [26]P6(x263,x262,x264)+~E(x261,x262)+~P6(x263,x261,x264)
% 0.72/0.79 [27]P6(x273,x274,x272)+~E(x271,x272)+~P6(x273,x274,x271)
% 0.72/0.79
% 0.72/0.79 %-------------------------------------------
% 0.72/0.79 cnf(46,plain,
% 0.72/0.79 (P4(a8,f2(a1))),
% 0.72/0.79 inference(scs_inference,[],[30,33])).
% 0.72/0.79 cnf(47,plain,
% 0.72/0.79 (P4(f2(a1),f3(a5,a1))),
% 0.72/0.79 inference(scs_inference,[],[28,30,33,35])).
% 0.72/0.79 cnf(49,plain,
% 0.72/0.79 (P6(a5,a1,a8)),
% 0.72/0.79 inference(scs_inference,[],[28,29,31,30,33,35,18,39])).
% 0.72/0.79 cnf(51,plain,
% 0.72/0.79 (P6(a6,a1,a8)),
% 0.72/0.79 inference(scs_inference,[],[28,29,31,30,33,35,18,39,38])).
% 0.72/0.79 cnf(53,plain,
% 0.72/0.79 (P4(f4(a6,a8),a9)),
% 0.72/0.79 inference(scs_inference,[],[28,29,31,30,33,35,18,39,38,37])).
% 0.72/0.79 cnf(57,plain,
% 0.72/0.79 (~P4(a8,f3(a5,a1))+P3(f4(a5,a8),a9)),
% 0.72/0.79 inference(scs_inference,[],[28,29,31,30,33,35,18,39,38,37,40,41])).
% 0.72/0.79 cnf(61,plain,
% 0.72/0.79 (~P4(a8,f3(a5,a1))+~E(f4(a6,a8),a9)),
% 0.72/0.79 inference(scs_inference,[],[28,29,31,30,33,35,18,39,38,37,40,41,45,42])).
% 0.72/0.79 cnf(70,plain,
% 0.72/0.79 (~E(a5,a6)+~P3(f4(a5,a8),a9)+~E(f4(a5,a8),a9)),
% 0.72/0.79 inference(scs_inference,[],[28,31,49,47,17,41,45,42])).
% 0.72/0.79 cnf(75,plain,
% 0.72/0.79 (~P7(a6,a5,a1,a8)+P3(f7(a5,a8),f7(a6,a8))),
% 0.72/0.79 inference(scs_inference,[],[30,31,28,16,44])).
% 0.72/0.79 cnf(77,plain,
% 0.72/0.79 (P7(a6,a5,a1,a8)+~P3(f4(a6,a8),a9)+~P3(f4(a5,a8),a9)),
% 0.72/0.79 inference(scs_inference,[],[29,30,31,28,16,44,43])).
% 0.72/0.79 cnf(79,plain,
% 0.72/0.79 (~E(f4(a6,a8),a9)+~P3(f4(a5,a8),a9)),
% 0.72/0.79 inference(scs_inference,[],[29,30,31,51,49,28,16,44,43,42])).
% 0.72/0.79 cnf(88,plain,
% 0.72/0.79 (~P3(f2(a1),f3(a5,a1))+P3(f4(a5,a8),a9)),
% 0.72/0.79 inference(scs_inference,[],[30,36,33,57])).
% 0.72/0.79 cnf(93,plain,
% 0.72/0.79 (~P3(f2(a1),f3(a5,a1))+~P3(f4(a6,a8),a9)),
% 0.72/0.79 inference(scs_inference,[],[30,31,28,36,33,57,77,70,45,44])).
% 0.72/0.79 cnf(95,plain,
% 0.72/0.79 (E(f2(a1),f3(a5,a1))+P3(f2(a1),f3(a5,a1))),
% 0.72/0.79 inference(scs_inference,[],[47,34])).
% 0.72/0.79 cnf(115,plain,
% 0.72/0.79 (E(f4(a6,a8),a9)+P3(f4(a6,a8),a9)),
% 0.72/0.79 inference(scs_inference,[],[53,34])).
% 0.72/0.79 cnf(136,plain,
% 0.72/0.79 (~P3(f2(a1),f3(a5,a1))+~E(f4(a6,a8),a9)),
% 0.72/0.79 inference(scs_inference,[],[79,88])).
% 0.72/0.79 cnf(170,plain,
% 0.72/0.79 (P4(a8,x1701)+~E(f2(a1),x1701)),
% 0.72/0.79 inference(scs_inference,[],[46,20])).
% 0.72/0.79 cnf(176,plain,
% 0.72/0.79 (P3(a8,x1761)+~E(f2(a1),x1761)),
% 0.72/0.79 inference(scs_inference,[],[30,15])).
% 0.72/0.79 cnf(177,plain,
% 0.72/0.79 (P3(x1771,x1772)+~E(f2(a1),x1772)+~E(a8,x1771)),
% 0.72/0.79 inference(scs_inference,[],[30,15,14])).
% 0.72/0.79 cnf(178,plain,
% 0.72/0.79 (P4(x1781,x1782)+~E(f2(a1),x1782)+~E(a8,x1781)),
% 0.72/0.79 inference(scs_inference,[],[30,15,14,33])).
% 0.72/0.79 cnf(188,plain,
% 0.72/0.79 (P3(f4(a6,a8),a9)+~P3(f2(a1),f3(a5,a1))),
% 0.72/0.79 inference(scs_inference,[],[136,115])).
% 0.72/0.79 cnf(198,plain,
% 0.72/0.79 (~P3(f2(a1),f3(a5,a1))),
% 0.72/0.79 inference(scs_inference,[],[188,93])).
% 0.72/0.79 cnf(199,plain,
% 0.72/0.79 (E(f2(a1),f3(a5,a1))),
% 0.72/0.79 inference(scs_inference,[],[198,95])).
% 0.72/0.79 cnf(200,plain,
% 0.72/0.79 (~E(f2(a1),f3(a5,a1))+~E(a8,f2(a1))),
% 0.72/0.79 inference(scs_inference,[],[198,177])).
% 0.72/0.79 cnf(204,plain,
% 0.72/0.79 (~E(a8,f2(a1))),
% 0.72/0.79 inference(scs_inference,[],[199,200])).
% 0.72/0.79 cnf(213,plain,
% 0.72/0.79 (E(f3(a5,a1),f2(a1))),
% 0.72/0.79 inference(scs_inference,[],[53,199,198,47,176,170,61,57,15,34,19,2])).
% 0.72/0.79 cnf(218,plain,
% 0.72/0.79 (P7(a6,a5,a1,a8)),
% 0.72/0.79 inference(scs_inference,[],[53,199,198,47,29,28,176,170,61,57,15,34,19,2,32,178,43])).
% 0.72/0.79 cnf(220,plain,
% 0.72/0.79 (~P3(f7(a5,a8),f7(a6,a8))),
% 0.72/0.79 inference(scs_inference,[],[53,199,198,47,29,31,28,176,170,61,57,15,34,19,2,32,178,43,45])).
% 0.72/0.79 cnf(248,plain,
% 0.72/0.79 ($false),
% 0.72/0.79 inference(scs_inference,[],[220,218,204,213,3,75]),
% 0.72/0.79 ['proof']).
% 0.72/0.79 % SZS output end Proof
% 0.72/0.79 % Total time :0.150000s
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