TSTP Solution File: MGT020-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT020-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n026.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 09:06:47 EDT 2023
% Result : Unsatisfiable 62.00s 62.06s
% Output : CNFRefutation 62.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT020-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 06:54:04 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 62.00/62.05 %-------------------------------------------
% 62.00/62.05 % File :CSE---1.6
% 62.00/62.05 % Problem :theBenchmark
% 62.00/62.05 % Transform :cnf
% 62.00/62.05 % Format :tptp:raw
% 62.00/62.05 % Command :java -jar mcs_scs.jar %d %s
% 62.00/62.05
% 62.00/62.05 % Result :Theorem 61.430000s
% 62.00/62.05 % Output :CNFRefutation 61.430000s
% 62.00/62.05 %-------------------------------------------
% 62.00/62.05 %--------------------------------------------------------------------------
% 62.00/62.05 % File : MGT020-1 : TPTP v8.1.2. Released v2.4.0.
% 62.00/62.05 % Domain : Management (Organisation Theory)
% 62.00/62.05 % Problem : First movers exceeds efficient producers disbanding rate
% 62.00/62.05 % Version : [PB+94] axioms.
% 62.00/62.05 % English :
% 62.00/62.05
% 62.00/62.05 % Refs : [PM93] Peli & Masuch (1993), The Logic of Propogation Strateg
% 62.00/62.05 % : [PM94] Peli & Masuch (1994), The Logic of Propogation Strateg
% 62.00/62.05 % : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing
% 62.00/62.05 % : [Kam95] Kamps (1995), Email to G. Sutcliffe
% 62.00/62.05 % Source : [TPTP]
% 62.00/62.05 % Names :
% 62.00/62.05
% 62.00/62.05 % Status : Unsatisfiable
% 62.00/62.05 % 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 v6.1.0, 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
% 62.00/62.05 % Syntax : Number of clauses : 14 ( 3 unt; 2 nHn; 14 RR)
% 62.00/62.05 % Number of literals : 43 ( 1 equ; 29 neg)
% 62.00/62.05 % Maximal clause size : 7 ( 3 avg)
% 62.00/62.05 % Maximal term depth : 3 ( 1 avg)
% 62.00/62.05 % Number of predicates : 7 ( 6 usr; 0 prp; 1-4 aty)
% 62.00/62.05 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 62.00/62.05 % Number of variables : 25 ( 0 sgn)
% 62.00/62.05 % SPC : CNF_UNS_RFO_SEQ_NHN
% 62.00/62.06
% 62.00/62.06 % Comments : Same as version with [PM93] axioms.
% 62.00/62.06 % : Created with tptp2X -f tptp -t clausify:otter MGT020+1.p
% 62.00/62.06 %--------------------------------------------------------------------------
% 62.00/62.06 cnf(l3_22,axiom,
% 62.00/62.06 ( ~ environment(A)
% 62.00/62.06 | ~ subpopulations(first_movers,efficient_producers,A,B)
% 62.00/62.06 | ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ) ).
% 62.00/62.06
% 62.00/62.06 cnf(mp_earliest_time_point_23,axiom,
% 62.00/62.06 ( ~ environment(A)
% 62.00/62.06 | ~ in_environment(A,initial_FM_EP(A))
% 62.00/62.06 | subpopulations(first_movers,efficient_producers,A,initial_FM_EP(A)) ) ).
% 62.00/62.06
% 62.00/62.06 cnf(mp_earliest_time_point_24,axiom,
% 62.00/62.06 ( ~ environment(A)
% 62.00/62.06 | ~ subpopulations(first_movers,efficient_producers,A,B)
% 62.00/62.06 | greater_or_equal(B,initial_FM_EP(A)) ) ).
% 62.00/62.06
% 62.00/62.06 cnf(mp_positive_function_difference_25,axiom,
% 62.00/62.06 ( ~ environment(A)
% 62.00/62.06 | ~ greater_or_equal(B,C)
% 62.00/62.06 | ~ greater_or_equal(D,B)
% 62.00/62.06 | ~ subpopulations(first_movers,efficient_producers,A,D)
% 62.00/62.06 | ~ greater(disbanding_rate(first_movers,C),disbanding_rate(efficient_producers,C))
% 62.00/62.06 | decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
% 62.00/62.06 | greater(disbanding_rate(first_movers,D),disbanding_rate(efficient_producers,D)) ) ).
% 62.00/62.06
% 62.00/62.06 cnf(mp_time_point_occurs_26,axiom,
% 62.00/62.06 ( ~ environment(A)
% 62.00/62.06 | ~ subpopulations(first_movers,efficient_producers,A,B)
% 62.00/62.06 | in_environment(A,B) ) ).
% 62.00/62.06
% 62.00/62.06 cnf(mp_initial_time_27,axiom,
% 62.00/62.06 ( ~ environment(A)
% 62.00/62.06 | greater_or_equal(initial_FM_EP(A),start_time(A)) ) ).
% 62.00/62.06
% 62.00/62.06 cnf(mp_times_in_order_28,axiom,
% 62.00/62.06 ( ~ environment(A)
% 62.00/62.06 | ~ greater_or_equal(B,start_time(A))
% 62.00/62.06 | ~ greater(C,B)
% 62.00/62.06 | ~ in_environment(A,C)
% 62.00/62.06 | in_environment(A,B) ) ).
% 62.00/62.06
% 62.00/62.06 cnf(mp_greater_transitivity_29,axiom,
% 62.00/62.06 ( ~ greater(A,B)
% 62.00/62.06 | ~ greater(B,C)
% 62.00/62.06 | greater(A,C) ) ).
% 62.00/62.06
% 62.00/62.06 cnf(mp_greater_or_equal_30,axiom,
% 62.00/62.06 ( ~ greater_or_equal(A,B)
% 62.00/62.06 | greater(A,B)
% 62.00/62.06 | A = B ) ).
% 62.00/62.06
% 62.00/62.06 cnf(a8_31,hypothesis,
% 62.00/62.06 ( ~ environment(A)
% 62.00/62.06 | greater(disbanding_rate(first_movers,initial_FM_EP(A)),disbanding_rate(efficient_producers,initial_FM_EP(A))) ) ).
% 62.00/62.06
% 62.00/62.06 cnf(a10_32,hypothesis,
% 62.00/62.06 ( ~ environment(A)
% 62.00/62.06 | ~ subpopulations(first_movers,efficient_producers,A,B)
% 62.00/62.06 | ~ subpopulations(first_movers,efficient_producers,A,C)
% 62.00/62.06 | ~ greater_or_equal(D,B)
% 62.00/62.06 | ~ greater_or_equal(C,D)
% 62.00/62.06 | subpopulations(first_movers,efficient_producers,A,D) ) ).
% 62.00/62.06
% 62.00/62.06 cnf(prove_l2_33,negated_conjecture,
% 62.00/62.06 environment(sk1) ).
% 62.00/62.06
% 62.00/62.06 cnf(prove_l2_34,negated_conjecture,
% 62.00/62.06 subpopulations(first_movers,efficient_producers,sk1,sk2) ).
% 62.00/62.06
% 62.00/62.06 cnf(prove_l2_35,negated_conjecture,
% 62.00/62.06 ~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) ).
% 62.00/62.06
% 62.00/62.06 %--------------------------------------------------------------------------
% 62.00/62.06 %-------------------------------------------
% 62.00/62.06 % Proof found
% 62.00/62.06 % SZS status Theorem for theBenchmark
% 62.00/62.06 % SZS output start Proof
% 62.00/62.06 %ClaNum:35(EqnAxiom:21)
% 62.00/62.06 %VarNum:71(SingletonVarNum:25)
% 62.00/62.06 %MaxLitNum:7
% 62.00/62.06 %MaxfuncDepth:2
% 62.00/62.06 %SharedTerms:9
% 62.00/62.06 %goalClause: 22 23 24
% 62.00/62.06 %singleGoalClaCount:3
% 62.00/62.06 [22]P1(a1)
% 62.00/62.06 [23]P3(a2,a3,a1,a7)
% 62.00/62.06 [24]~P4(f4(a2,a7),f4(a3,a7))
% 62.00/62.06 [25]~P1(x251)+P5(f6(x251),f8(x251))
% 62.00/62.06 [28]~P1(x281)+P4(f4(a2,f6(x281)),f4(a3,f6(x281)))
% 62.00/62.06 [30]~P1(x301)+~P6(x301,f6(x301))+P3(a2,a3,x301,f6(x301))
% 62.00/62.06 [26]P4(x261,x262)+~P5(x261,x262)+E(x261,x262)
% 62.00/62.06 [31]~P1(x311)+P6(x311,x312)+~P3(a2,a3,x311,x312)
% 62.00/62.06 [32]~P1(x322)+~P3(a2,a3,x322,x321)+P5(x321,f6(x322))
% 62.00/62.06 [33]~P1(x331)+~P3(a2,a3,x331,x332)+~P2(f5(f4(a2,x332),f4(a3,x332)))
% 62.00/62.06 [27]~P4(x271,x273)+P4(x271,x272)+~P4(x273,x272)
% 62.00/62.06 [29]~P1(x291)+~P4(x293,x292)+P6(x291,x292)+~P6(x291,x293)+~P5(x292,f8(x291))
% 62.00/62.06 [35]~P1(x351)+~P5(x352,x353)+~P5(x354,x352)+~P3(a2,a3,x351,x354)+~P3(a2,a3,x351,x353)+P3(a2,a3,x351,x352)
% 62.00/62.06 [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)))
% 62.00/62.06 %EqnAxiom
% 62.00/62.06 [1]E(x11,x11)
% 62.00/62.06 [2]E(x22,x21)+~E(x21,x22)
% 62.00/62.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 62.00/62.06 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 62.00/62.06 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 62.00/62.06 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 62.00/62.06 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 62.00/62.06 [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 62.00/62.06 [9]~E(x91,x92)+E(f8(x91),f8(x92))
% 62.00/62.06 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 62.00/62.06 [11]P3(x112,x113,x114,x115)+~E(x111,x112)+~P3(x111,x113,x114,x115)
% 62.00/62.06 [12]P3(x123,x122,x124,x125)+~E(x121,x122)+~P3(x123,x121,x124,x125)
% 62.00/62.06 [13]P3(x133,x134,x132,x135)+~E(x131,x132)+~P3(x133,x134,x131,x135)
% 62.00/62.06 [14]P3(x143,x144,x145,x142)+~E(x141,x142)+~P3(x143,x144,x145,x141)
% 62.00/62.06 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153)
% 62.00/62.06 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161)
% 62.00/62.06 [17]P5(x172,x173)+~E(x171,x172)+~P5(x171,x173)
% 62.00/62.06 [18]P5(x183,x182)+~E(x181,x182)+~P5(x183,x181)
% 62.00/62.06 [19]~P2(x191)+P2(x192)+~E(x191,x192)
% 62.00/62.06 [20]P6(x202,x203)+~E(x201,x202)+~P6(x201,x203)
% 62.00/62.06 [21]P6(x213,x212)+~E(x211,x212)+~P6(x213,x211)
% 62.00/62.06
% 62.00/62.06 %-------------------------------------------
% 62.00/62.06 cnf(36,plain,
% 62.00/62.06 (P6(a1,a7)),
% 62.00/62.06 inference(scs_inference,[],[22,23,31])).
% 62.00/62.06 cnf(37,plain,
% 62.00/62.06 (P4(f4(a2,f6(a1)),f4(a3,f6(a1)))),
% 62.00/62.06 inference(scs_inference,[],[22,23,31,28])).
% 62.00/62.06 cnf(38,plain,
% 62.00/62.06 (P5(f6(a1),f8(a1))),
% 62.00/62.06 inference(scs_inference,[],[22,23,31,28,25])).
% 62.00/62.06 cnf(60,plain,
% 62.00/62.06 (P5(a7,f6(a1))),
% 62.00/62.06 inference(scs_inference,[],[22,23,33,32])).
% 62.00/62.06 cnf(62,plain,
% 62.00/62.06 (~E(a1,x621)+P1(x621)),
% 62.00/62.06 inference(scs_inference,[],[22,23,33,32,10])).
% 62.00/62.06 cnf(65,plain,
% 62.00/62.06 (~P5(a7,a7)),
% 62.00/62.06 inference(scs_inference,[],[22,23,24,38,37,33,32,10,35,34])).
% 62.00/62.06 cnf(69,plain,
% 62.00/62.06 (P6(a1,f6(a1))+~P4(a7,f6(a1))),
% 62.00/62.06 inference(scs_inference,[],[22,23,24,38,37,36,33,32,10,35,34,27,29])).
% 62.00/62.06 cnf(83,plain,
% 62.00/62.06 (P3(a2,a3,a1,f6(a1))),
% 62.00/62.06 inference(scs_inference,[],[60,65,22,18,2,17,26,69,30])).
% 62.00/62.06 cnf(108,plain,
% 62.00/62.06 (P5(f6(a1),f6(a1))),
% 62.00/62.06 inference(scs_inference,[],[83,22,32])).
% 62.00/62.06 cnf(349,plain,
% 62.00/62.06 (~P2(f5(f4(a2,f6(a1)),f4(a3,f6(a1))))),
% 62.00/62.06 inference(scs_inference,[],[83,62,33])).
% 62.00/62.06 cnf(353,plain,
% 62.00/62.06 (P2(f5(f4(a2,f6(a1)),f4(a3,f6(a1))))),
% 62.00/62.06 inference(scs_inference,[],[108,24,37,23,60,62,34])).
% 62.00/62.06 cnf(1381,plain,
% 62.00/62.06 ($false),
% 62.00/62.06 inference(scs_inference,[],[349,353]),
% 62.00/62.06 ['proof']).
% 62.00/62.06 % SZS output end Proof
% 62.00/62.06 % Total time :61.430000s
%------------------------------------------------------------------------------