TSTP Solution File: MGT027-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT027-1 : 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 : n012.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 120.54s 120.86s
% Output : CNFRefutation 120.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n012.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 06:13:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 120.54/120.85 %-------------------------------------------
% 120.54/120.85 % File :CSE---1.6
% 120.54/120.85 % Problem :theBenchmark
% 120.54/120.85 % Transform :cnf
% 120.54/120.85 % Format :tptp:raw
% 120.54/120.85 % Command :java -jar mcs_scs.jar %d %s
% 120.54/120.85
% 120.54/120.85 % Result :Theorem 120.150000s
% 120.54/120.85 % Output :CNFRefutation 120.150000s
% 120.54/120.85 %-------------------------------------------
% 120.54/120.85 %--------------------------------------------------------------------------
% 120.54/120.85 % File : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% 120.54/120.85 % Domain : Management (Organisation Theory)
% 120.54/120.85 % Problem : The FM set contracts in stable environments
% 120.54/120.85 % Version : [PB+94] axioms : Reduced & Augmented > Complete.
% 120.54/120.85 % English : The first mover set begins to contract past a certain time
% 120.54/120.85 % in stable environments.
% 120.54/120.85
% 120.54/120.85 % Refs : [PM93] Peli & Masuch (1993), The Logic of Propogation Strateg
% 120.54/120.85 % : [PM94] Peli & Masuch (1994), The Logic of Propogation Strateg
% 120.54/120.85 % : [Kam95] Kamps (1995), Email to G. Sutcliffe
% 120.54/120.85 % Source : [TPTP]
% 120.54/120.85 % Names :
% 120.54/120.85
% 120.54/120.85 % Status : Unsatisfiable
% 120.54/120.85 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 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, 0.14 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 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.00 v2.5.0, 0.11 v2.4.0
% 120.54/120.85 % Syntax : Number of clauses : 16 ( 2 unt; 3 nHn; 16 RR)
% 120.54/120.85 % Number of literals : 54 ( 2 equ; 36 neg)
% 120.54/120.85 % Maximal clause size : 5 ( 3 avg)
% 120.54/120.85 % Maximal term depth : 3 ( 1 avg)
% 120.54/120.85 % Number of predicates : 8 ( 7 usr; 0 prp; 1-4 aty)
% 120.54/120.85 % Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% 120.54/120.85 % Number of variables : 27 ( 0 sgn)
% 120.54/120.85 % SPC : CNF_UNS_RFO_SEQ_NHN
% 120.54/120.85
% 120.54/120.85 % Comments : Created with tptp2X -f tptp -t clausify:otter MGT027+1.p
% 120.54/120.85 %--------------------------------------------------------------------------
% 120.54/120.85 cnf(mp_contracts_from_24,axiom,
% 120.54/120.85 ( ~ environment(A)
% 120.54/120.85 | ~ stable(A)
% 120.54/120.85 | ~ in_environment(A,B)
% 120.54/120.85 | greater(cardinality_at_time(first_movers,sk1(B,A)),zero)
% 120.54/120.85 | contracts_from(B,first_movers) ) ).
% 120.54/120.85
% 120.54/120.85 cnf(mp_contracts_from_25,axiom,
% 120.54/120.85 ( ~ environment(A)
% 120.54/120.85 | ~ stable(A)
% 120.54/120.85 | ~ in_environment(A,B)
% 120.54/120.85 | greater_or_equal(sk1(B,A),B)
% 120.54/120.85 | contracts_from(B,first_movers) ) ).
% 120.54/120.85
% 120.54/120.85 cnf(mp_contracts_from_26,axiom,
% 120.54/120.85 ( ~ environment(A)
% 120.54/120.85 | ~ stable(A)
% 120.54/120.85 | ~ in_environment(A,B)
% 120.54/120.85 | ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
% 120.54/120.85 | contracts_from(B,first_movers) ) ).
% 120.54/120.85
% 120.54/120.85 cnf(mp_non_empty_fm_and_ep_27,axiom,
% 120.54/120.85 ( ~ environment(A)
% 120.54/120.85 | ~ in_environment(A,B)
% 120.54/120.85 | ~ greater(cardinality_at_time(first_movers,B),zero)
% 120.54/120.85 | ~ greater(cardinality_at_time(efficient_producers,B),zero)
% 120.54/120.85 | subpopulations(first_movers,efficient_producers,A,B) ) ).
% 120.54/120.85
% 120.54/120.85 cnf(mp_long_stable_environments_28,axiom,
% 120.54/120.86 ( ~ environment(A)
% 120.54/120.86 | ~ stable(A)
% 120.54/120.86 | ~ in_environment(A,B)
% 120.54/120.86 | ~ greater(C,B)
% 120.54/120.86 | in_environment(A,C) ) ).
% 120.54/120.86
% 120.54/120.86 cnf(mp_EP_in_stable_environments_29,axiom,
% 120.54/120.86 ( ~ environment(A)
% 120.54/120.86 | ~ stable(A)
% 120.54/120.86 | in_environment(A,appear(efficient_producers,A)) ) ).
% 120.54/120.86
% 120.54/120.86 cnf(mp_greater_transitivity_30,axiom,
% 120.54/120.86 ( ~ greater(A,B)
% 120.54/120.86 | ~ greater(B,C)
% 120.54/120.86 | greater(A,C) ) ).
% 120.54/120.86
% 120.54/120.86 cnf(mp_greater_or_equal_31,axiom,
% 120.54/120.86 ( ~ greater_or_equal(A,B)
% 120.54/120.86 | greater(A,B)
% 120.54/120.86 | A = B ) ).
% 120.54/120.86
% 120.54/120.86 cnf(mp_greater_or_equal_32,axiom,
% 120.54/120.86 ( ~ greater(A,B)
% 120.54/120.86 | greater_or_equal(A,B) ) ).
% 120.54/120.86
% 120.54/120.86 cnf(mp_greater_or_equal_33,axiom,
% 120.54/120.86 ( A != B
% 120.54/120.86 | greater_or_equal(A,B) ) ).
% 120.54/120.86
% 120.54/120.86 cnf(t6_34,hypothesis,
% 120.54/120.86 ( ~ environment(A)
% 120.54/120.86 | ~ in_environment(A,B)
% 120.54/120.86 | ~ greater_or_equal(B,appear(efficient_producers,A))
% 120.54/120.86 | greater(cardinality_at_time(efficient_producers,B),zero) ) ).
% 120.54/120.86
% 120.54/120.86 cnf(l10_35,hypothesis,
% 120.54/120.86 ( ~ environment(A)
% 120.54/120.86 | ~ stable(A)
% 120.54/120.86 | greater(sk2(A),appear(efficient_producers,A)) ) ).
% 120.54/120.86
% 120.54/120.86 cnf(l10_36,hypothesis,
% 120.54/120.86 ( ~ environment(A)
% 120.54/120.86 | ~ stable(A)
% 120.54/120.86 | ~ subpopulations(first_movers,efficient_producers,A,B)
% 120.54/120.86 | ~ greater_or_equal(B,sk2(A))
% 120.54/120.86 | greater(zero,growth_rate(first_movers,B)) ) ).
% 120.54/120.86
% 120.54/120.86 cnf(prove_l9_37,negated_conjecture,
% 120.54/120.86 environment(sk3) ).
% 120.54/120.86
% 120.54/120.86 cnf(prove_l9_38,negated_conjecture,
% 120.54/120.86 stable(sk3) ).
% 120.54/120.86
% 120.54/120.86 cnf(prove_l9_39,negated_conjecture,
% 120.54/120.86 ( ~ greater(A,appear(efficient_producers,sk3))
% 120.54/120.86 | ~ contracts_from(A,first_movers) ) ).
% 120.54/120.86
% 120.54/120.86 %--------------------------------------------------------------------------
% 120.54/120.86 %-------------------------------------------
% 120.54/120.86 % Proof found
% 120.54/120.86 % SZS status Theorem for theBenchmark
% 120.54/120.86 % SZS output start Proof
% 120.54/120.86 %ClaNum:42(EqnAxiom:26)
% 120.54/120.86 %VarNum:80(SingletonVarNum:27)
% 120.54/120.86 %MaxLitNum:5
% 120.54/120.86 %MaxfuncDepth:2
% 120.54/120.86 %SharedTerms:7
% 120.54/120.86 %goalClause: 27 28 35
% 120.54/120.86 %singleGoalClaCount:2
% 120.54/120.86 [27]P1(a1)
% 120.54/120.86 [28]P3(a1)
% 120.54/120.86 [35]~P2(x351,a6)+~P5(x351,f3(a2,a1))
% 120.54/120.86 [29]~E(x291,x292)+P4(x291,x292)
% 120.54/120.86 [30]~P5(x301,x302)+P4(x301,x302)
% 120.54/120.86 [32]~P1(x321)+~P3(x321)+P6(x321,f3(a2,x321))
% 120.54/120.86 [33]~P1(x331)+~P3(x331)+P5(f5(x331),f3(a2,x331))
% 120.54/120.86 [31]P5(x311,x312)+~P4(x311,x312)+E(x311,x312)
% 120.54/120.86 [34]~P5(x341,x343)+P5(x341,x342)+~P5(x343,x342)
% 120.54/120.86 [38]~P6(x382,x381)+~P1(x382)+~P4(x381,f3(a2,x382))+P5(f4(a2,x381),a9)
% 120.54/120.86 [37]~P1(x372)+~P3(x372)+~P6(x372,x371)+P4(f7(x371,x372),x371)+P2(x371,a6)
% 120.54/120.86 [41]~P1(x411)+~P6(x411,x412)+P7(a6,a2,x411,x412)+~P5(f4(a6,x412),a9)+~P5(f4(a2,x412),a9)
% 120.54/120.86 [42]~P3(x422)+~P1(x422)+~P4(x421,f5(x422))+~P7(a6,a2,x422,x421)+P5(a9,f8(a6,x421))
% 120.54/120.86 [39]~P1(x392)+~P3(x392)+~P6(x392,x391)+P2(x391,a6)+P5(f4(a6,f7(x391,x392)),a9)
% 120.54/120.86 [40]~P3(x402)+~P6(x402,x401)+~P1(x402)+P2(x401,a6)+~P5(a9,f8(a6,f7(x401,x402)))
% 120.54/120.86 [36]~P1(x361)+~P3(x361)+~P5(x362,x363)+P6(x361,x362)+~P6(x361,x363)
% 120.54/120.86 %EqnAxiom
% 120.54/120.86 [1]E(x11,x11)
% 120.54/120.86 [2]E(x22,x21)+~E(x21,x22)
% 120.54/120.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 120.54/120.86 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 120.54/120.86 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 120.54/120.86 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 120.54/120.86 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 120.54/120.86 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 120.54/120.86 [9]~E(x91,x92)+E(f8(x91,x93),f8(x92,x93))
% 120.54/120.86 [10]~E(x101,x102)+E(f8(x103,x101),f8(x103,x102))
% 120.54/120.86 [11]~E(x111,x112)+E(f7(x111,x113),f7(x112,x113))
% 120.54/120.86 [12]~E(x121,x122)+E(f7(x123,x121),f7(x123,x122))
% 120.54/120.86 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 120.54/120.86 [14]~P3(x141)+P3(x142)+~E(x141,x142)
% 120.54/120.86 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153)
% 120.54/120.86 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161)
% 120.54/120.86 [17]P6(x172,x173)+~E(x171,x172)+~P6(x171,x173)
% 120.54/120.86 [18]P6(x183,x182)+~E(x181,x182)+~P6(x183,x181)
% 120.73/120.86 [19]P5(x192,x193)+~E(x191,x192)+~P5(x191,x193)
% 120.73/120.86 [20]P5(x203,x202)+~E(x201,x202)+~P5(x203,x201)
% 120.73/120.86 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 120.73/120.86 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 120.73/120.86 [23]P7(x232,x233,x234,x235)+~E(x231,x232)+~P7(x231,x233,x234,x235)
% 120.73/120.86 [24]P7(x243,x242,x244,x245)+~E(x241,x242)+~P7(x243,x241,x244,x245)
% 120.73/120.86 [25]P7(x253,x254,x252,x255)+~E(x251,x252)+~P7(x253,x254,x251,x255)
% 120.73/120.86 [26]P7(x263,x264,x265,x262)+~E(x261,x262)+~P7(x263,x264,x265,x261)
% 120.73/120.86
% 120.73/120.86 %-------------------------------------------
% 120.73/120.87 cnf(43,plain,
% 120.73/120.87 (~E(a1,x431)+P3(x431)),
% 120.73/120.87 inference(scs_inference,[],[28,14])).
% 120.73/120.87 cnf(45,plain,
% 120.73/120.87 (P5(f5(a1),f3(a2,a1))),
% 120.73/120.87 inference(scs_inference,[],[27,28,14,32,33])).
% 120.73/120.87 cnf(47,plain,
% 120.73/120.87 (~P2(f5(a1),a6)),
% 120.73/120.87 inference(scs_inference,[],[27,28,14,32,33,35])).
% 120.73/120.87 cnf(51,plain,
% 120.73/120.87 (P6(a1,f5(a1))),
% 120.73/120.87 inference(scs_inference,[],[27,28,14,32,33,35,38,36])).
% 120.73/120.87 cnf(56,plain,
% 120.73/120.87 (P4(f5(a1),f3(a2,a1))),
% 120.73/120.87 inference(scs_inference,[],[45,30])).
% 120.73/120.87 cnf(61,plain,
% 120.73/120.87 (P4(f7(f5(a1),a1),f5(a1))),
% 120.73/120.87 inference(scs_inference,[],[27,28,45,47,51,30,38,22,37])).
% 120.73/120.87 cnf(76,plain,
% 120.73/120.87 (E(f7(f5(a1),a1),f5(a1))+P5(f7(f5(a1),a1),f5(a1))),
% 120.73/120.87 inference(scs_inference,[],[61,31])).
% 120.73/120.87 cnf(86,plain,
% 120.73/120.87 (P6(a1,x861)+~P5(x861,f5(a1))),
% 120.73/120.87 inference(scs_inference,[],[51,28,27,36])).
% 120.73/120.87 cnf(112,plain,
% 120.73/120.87 (~E(f7(f5(a1),a1),x1121)+~P7(a6,a2,a1,x1121)+P5(a9,f8(a6,x1121))),
% 120.73/120.87 inference(scs_inference,[],[61,28,27,15,42])).
% 120.73/120.87 cnf(121,plain,
% 120.73/120.87 (P5(a9,f8(a6,f7(f5(a1),a1)))+~P7(a6,a2,a1,f7(f5(a1),a1))),
% 120.73/120.87 inference(equality_inference,[],[112])).
% 120.73/120.87 cnf(130,plain,
% 120.73/120.87 (~P5(x1301,f5(a1))+P5(x1301,f3(a2,a1))),
% 120.73/120.87 inference(scs_inference,[],[45,51,17,34])).
% 120.73/120.87 cnf(167,plain,
% 120.73/120.87 (P6(a1,x1671)+~E(f5(a1),x1671)),
% 120.73/120.87 inference(scs_inference,[],[51,18])).
% 120.73/120.87 cnf(187,plain,
% 120.73/120.87 (P4(x1871,f3(a2,a1))+~E(f5(a1),x1871)),
% 120.73/120.87 inference(scs_inference,[],[56,15])).
% 120.73/120.87 cnf(269,plain,
% 120.73/120.87 (P5(f4(a6,f7(f5(a1),a1)),a9)),
% 120.73/120.87 inference(scs_inference,[],[47,51,27,43,39])).
% 120.73/120.87 cnf(280,plain,
% 120.73/120.87 (~P5(a9,f8(a6,f7(f5(a1),a1)))),
% 120.73/120.87 inference(scs_inference,[],[47,27,51,43,40])).
% 120.73/120.87 cnf(323,plain,
% 120.73/120.87 (E(f5(a1),f7(f5(a1),a1))+P5(f7(f5(a1),a1),f5(a1))),
% 120.73/120.87 inference(scs_inference,[],[2,76])).
% 120.73/120.87 cnf(346,plain,
% 120.73/120.87 (E(f5(a1),f7(f5(a1),a1))+P6(a1,f7(f5(a1),a1))),
% 120.73/120.87 inference(scs_inference,[],[323,86])).
% 120.73/120.87 cnf(723,plain,
% 120.73/120.87 (P6(a1,f7(f5(a1),a1))),
% 120.73/120.87 inference(scs_inference,[],[167,346])).
% 120.73/120.87 cnf(726,plain,
% 120.73/120.87 (P6(a1,x7261)+~E(f7(f5(a1),a1),x7261)),
% 120.73/120.87 inference(scs_inference,[],[723,18])).
% 120.73/120.87 cnf(734,plain,
% 120.73/120.87 (P6(x7341,f7(f5(a1),a1))+~E(a1,x7341)),
% 120.73/120.87 inference(scs_inference,[],[723,17])).
% 120.73/120.87 cnf(1676,plain,
% 120.73/120.87 (P4(f7(f5(a1),a1),f3(a2,a1))+P5(f7(f5(a1),a1),f5(a1))),
% 120.73/120.87 inference(scs_inference,[],[187,323])).
% 120.73/120.87 cnf(1677,plain,
% 120.73/120.87 (P4(f7(f5(a1),a1),f3(a2,a1))+P5(f7(f5(a1),a1),f3(a2,a1))),
% 120.73/120.87 inference(scs_inference,[],[1676,130])).
% 120.73/120.87 cnf(1678,plain,
% 120.73/120.87 (P4(f7(f5(a1),a1),f3(a2,a1))),
% 120.73/120.87 inference(scs_inference,[],[1677,30])).
% 120.73/120.87 cnf(2010,plain,
% 120.73/120.87 (~E(a1,x20101)+P6(a1,f7(f5(a1),x20101))),
% 120.73/120.87 inference(scs_inference,[],[726,12])).
% 120.73/120.87 cnf(2026,plain,
% 120.73/120.87 (P5(f4(a2,f7(f5(a1),a1)),a9)),
% 120.73/120.87 inference(scs_inference,[],[1678,27,734,38])).
% 120.73/120.87 cnf(2268,plain,
% 120.73/120.87 (~P7(a6,a2,a1,f7(f5(a1),a1))),
% 120.73/120.87 inference(scs_inference,[],[280,121])).
% 120.73/120.87 cnf(2456,plain,
% 120.73/120.87 (~P5(f4(a6,f7(f5(a1),a1)),a9)+~P5(f4(a2,f7(f5(a1),a1)),a9)),
% 120.73/120.87 inference(scs_inference,[],[27,2268,2010,41])).
% 120.73/120.87 cnf(3015,plain,
% 120.73/120.87 ($false),
% 120.73/120.87 inference(scs_inference,[],[269,2026,2456]),
% 120.73/120.87 ['proof']).
% 120.73/120.87 % SZS output end Proof
% 120.73/120.87 % Total time :120.150000s
%------------------------------------------------------------------------------