TSTP Solution File: MGT014+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT014+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n025.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 09:06:45 EDT 2023
% Result : Theorem 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT014+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n025.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 06:44:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % File :CSE---1.6
% 0.19/0.63 % Problem :theBenchmark
% 0.19/0.63 % Transform :cnf
% 0.19/0.63 % Format :tptp:raw
% 0.19/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.63
% 0.19/0.63 % Result :Theorem 0.010000s
% 0.19/0.63 % Output :CNFRefutation 0.010000s
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 %--------------------------------------------------------------------------
% 0.19/0.63 % File : MGT014+1 : TPTP v8.1.2. Released v2.0.0.
% 0.19/0.63 % Domain : Management (Organisation Theory)
% 0.19/0.63 % Problem : If orgainzation size increases, its complexity cannot decrease
% 0.19/0.63 % Version : [PB+94] axioms.
% 0.19/0.63 % English : If the size of an organization gets bigger, its complexity
% 0.19/0.64 % cannot get smaller (in lack of reorganization).
% 0.19/0.64
% 0.19/0.64 % Refs : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing
% 0.19/0.64 % : [Kam94] Kamps (1994), Email to G. Sutcliffe
% 0.19/0.64 % : [Kam95] Kamps (1995), Email to G. Sutcliffe
% 0.19/0.64 % Source : [Kam94]
% 0.19/0.64 % Names :
% 0.19/0.64
% 0.19/0.64 % Status : Theorem
% 0.19/0.64 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.04 v3.7.0, 0.00 v2.1.0
% 0.19/0.64 % Syntax : Number of formulae : 9 ( 0 unt; 0 def)
% 0.19/0.64 % Number of atoms : 42 ( 4 equ)
% 0.19/0.64 % Maximal formula atoms : 9 ( 4 avg)
% 0.19/0.64 % Number of connectives : 38 ( 5 ~; 2 |; 24 &)
% 0.19/0.64 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.19/0.64 % Maximal formula depth : 16 ( 8 avg)
% 0.19/0.64 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.64 % Number of predicates : 7 ( 6 usr; 0 prp; 1-3 aty)
% 0.19/0.64 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.64 % Number of variables : 33 ( 33 !; 0 ?)
% 0.19/0.64 % SPC : FOF_THM_EPR_SEQ
% 0.19/0.64
% 0.19/0.64 % Comments : "Not published due to publication constraints." [Kam95].
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 %----Subsitution axioms
% 0.19/0.64 %----Problem axioms
% 0.19/0.64 fof(mp6_1,axiom,
% 0.19/0.64 ! [X,Y] :
% 0.19/0.64 ~ ( greater(X,Y)
% 0.19/0.64 & X = Y ) ).
% 0.19/0.64
% 0.19/0.64 fof(mp6_2,axiom,
% 0.19/0.64 ! [X,Y] :
% 0.19/0.64 ~ ( greater(X,Y)
% 0.19/0.64 & greater(Y,X) ) ).
% 0.19/0.64
% 0.19/0.64 %----Labelling the time variable.
% 0.19/0.64 fof(mp15,axiom,
% 0.19/0.64 ! [X,T] :
% 0.19/0.64 ( organization(X,T)
% 0.19/0.64 => time(T) ) ).
% 0.19/0.64
% 0.19/0.64 %----On time.
% 0.19/0.64 fof(mp16,axiom,
% 0.19/0.64 ! [T1,T2] :
% 0.19/0.64 ( ( time(T1)
% 0.19/0.64 & time(T2) )
% 0.19/0.64 => ( greater(T1,T2)
% 0.19/0.64 | T1 = T2
% 0.19/0.64 | greater(T2,T1) ) ) ).
% 0.19/0.64
% 0.19/0.64 %----On the notation of of reorganization-free periods.
% 0.19/0.64 fof(mp17,axiom,
% 0.19/0.64 ! [X,T1,T2] :
% 0.19/0.64 ( reorganization_free(X,T1,T2)
% 0.19/0.64 => reorganization_free(X,T2,T1) ) ).
% 0.19/0.64
% 0.19/0.64 %----Every organization can have only one size at a time.
% 0.19/0.64 fof(mp19,axiom,
% 0.19/0.64 ! [X,S1,S2,T1,T2] :
% 0.19/0.64 ( ( organization(X,T1)
% 0.19/0.64 & organization(X,T2)
% 0.19/0.64 & size(X,S1,T1)
% 0.19/0.64 & size(X,S2,T2)
% 0.19/0.64 & T1 = T2 )
% 0.19/0.64 => S1 = S2 ) ).
% 0.19/0.64
% 0.19/0.64 fof(t11_FOL,hypothesis,
% 0.19/0.64 ! [X,S1,S2,T1,T2] :
% 0.19/0.64 ( ( organization(X,T1)
% 0.19/0.64 & organization(X,T2)
% 0.19/0.64 & reorganization_free(X,T1,T2)
% 0.19/0.64 & size(X,S1,T1)
% 0.19/0.64 & size(X,S2,T2)
% 0.19/0.64 & greater(T2,T1) )
% 0.19/0.64 => ~ greater(S1,S2) ) ).
% 0.19/0.64
% 0.19/0.64 fof(t12_FOL,hypothesis,
% 0.19/0.64 ! [X,C1,C2,T1,T2] :
% 0.19/0.64 ( ( organization(X,T1)
% 0.19/0.64 & organization(X,T2)
% 0.19/0.64 & reorganization_free(X,T1,T2)
% 0.19/0.64 & complexity(X,C1,T1)
% 0.19/0.64 & complexity(X,C2,T2)
% 0.19/0.64 & greater(T2,T1) )
% 0.19/0.64 => ~ greater(C1,C2) ) ).
% 0.19/0.64
% 0.19/0.64 fof(t14_FOL,conjecture,
% 0.19/0.64 ! [X,C1,C2,S1,S2,T1,T2] :
% 0.19/0.64 ( ( organization(X,T1)
% 0.19/0.64 & organization(X,T2)
% 0.19/0.64 & reorganization_free(X,T1,T2)
% 0.19/0.64 & complexity(X,C1,T1)
% 0.19/0.64 & complexity(X,C2,T2)
% 0.19/0.64 & size(X,S1,T1)
% 0.19/0.64 & size(X,S2,T2)
% 0.19/0.64 & greater(S2,S1) )
% 0.19/0.64 => ~ greater(C1,C2) ) ).
% 0.19/0.64
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark
% 0.19/0.64 % SZS output start Proof
% 0.19/0.64 %ClaNum:34(EqnAxiom:17)
% 0.19/0.64 %VarNum:73(SingletonVarNum:26)
% 0.19/0.64 %MaxLitNum:7
% 0.19/0.64 %MaxfuncDepth:0
% 0.19/0.64 %SharedTerms:16
% 0.19/0.64 %goalClause: 18 19 20 21 22 23 24 25 26
% 0.19/0.64 %singleGoalClaCount:9
% 0.19/0.64 [18]P1(a1,a3)
% 0.19/0.64 [19]P1(a4,a5)
% 0.19/0.64 [20]P3(a2,a6)
% 0.19/0.64 [21]P3(a2,a7)
% 0.19/0.64 [22]P4(a2,a6,a7)
% 0.19/0.64 [23]P5(a2,a5,a6)
% 0.19/0.64 [24]P5(a2,a4,a7)
% 0.19/0.64 [25]P2(a2,a1,a6)
% 0.19/0.64 [26]P2(a2,a3,a7)
% 0.19/0.64 [27]~P1(x271,x272)+~E(x271,x272)
% 0.19/0.64 [28]P6(x281)+~P3(x282,x281)
% 0.19/0.64 [29]~P1(x292,x291)+~P1(x291,x292)
% 0.19/0.64 [31]~P4(x311,x313,x312)+P4(x311,x312,x313)
% 0.19/0.64 [30]P1(x302,x301)+P1(x301,x302)+~P6(x302)+~P6(x301)+E(x301,x302)
% 0.19/0.64 [32]~P3(x325,x323)+~P5(x325,x322,x324)+~P5(x325,x321,x323)+E(x321,x322)+~E(x323,x324)+~P3(x325,x324)
% 0.19/0.64 [33]~P3(x335,x334)+~P4(x335,x334,x333)+~P5(x335,x332,x333)+~P5(x335,x331,x334)+~P1(x331,x332)+~P1(x333,x334)+~P3(x335,x333)
% 0.19/0.64 [34]~P3(x345,x344)+~P4(x345,x344,x343)+~P2(x345,x342,x343)+~P2(x345,x341,x344)+~P1(x341,x342)+~P1(x343,x344)+~P3(x345,x343)
% 0.19/0.64 %EqnAxiom
% 0.19/0.64 [1]E(x11,x11)
% 0.19/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.64 [4]P1(x42,x43)+~E(x41,x42)+~P1(x41,x43)
% 0.19/0.64 [5]P1(x53,x52)+~E(x51,x52)+~P1(x53,x51)
% 0.19/0.64 [6]P2(x62,x63,x64)+~E(x61,x62)+~P2(x61,x63,x64)
% 0.19/0.64 [7]P2(x73,x72,x74)+~E(x71,x72)+~P2(x73,x71,x74)
% 0.19/0.64 [8]P2(x83,x84,x82)+~E(x81,x82)+~P2(x83,x84,x81)
% 0.19/0.64 [9]P3(x92,x93)+~E(x91,x92)+~P3(x91,x93)
% 0.19/0.64 [10]P3(x103,x102)+~E(x101,x102)+~P3(x103,x101)
% 0.19/0.64 [11]P5(x112,x113,x114)+~E(x111,x112)+~P5(x111,x113,x114)
% 0.19/0.64 [12]P5(x123,x122,x124)+~E(x121,x122)+~P5(x123,x121,x124)
% 0.19/0.64 [13]P5(x133,x134,x132)+~E(x131,x132)+~P5(x133,x134,x131)
% 0.19/0.64 [14]P4(x142,x143,x144)+~E(x141,x142)+~P4(x141,x143,x144)
% 0.19/0.64 [15]P4(x153,x152,x154)+~E(x151,x152)+~P4(x153,x151,x154)
% 0.19/0.64 [16]P4(x163,x164,x162)+~E(x161,x162)+~P4(x163,x164,x161)
% 0.19/0.64 [17]~P6(x171)+P6(x172)+~E(x171,x172)
% 0.19/0.64
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 cnf(35,plain,
% 0.19/0.64 (~P1(a3,a1)),
% 0.19/0.64 inference(scs_inference,[],[18,29])).
% 0.19/0.64 cnf(36,plain,
% 0.19/0.64 (P4(a2,a7,a6)),
% 0.19/0.64 inference(scs_inference,[],[18,22,29,31])).
% 0.19/0.64 cnf(37,plain,
% 0.19/0.64 (P6(a6)),
% 0.19/0.64 inference(scs_inference,[],[18,20,22,29,31,28])).
% 0.19/0.64 cnf(39,plain,
% 0.19/0.64 (~E(a1,a3)),
% 0.19/0.64 inference(scs_inference,[],[18,20,22,29,31,28,27])).
% 0.19/0.64 cnf(44,plain,
% 0.19/0.64 (~P1(a7,a6)),
% 0.19/0.64 inference(scs_inference,[],[18,25,26,21,22,20,39,2,34])).
% 0.19/0.64 cnf(45,plain,
% 0.19/0.64 (~P1(a6,a7)),
% 0.19/0.64 inference(scs_inference,[],[18,19,23,24,25,26,21,22,20,36,39,2,34,33])).
% 0.19/0.64 cnf(61,plain,
% 0.19/0.64 (E(a7,a6)),
% 0.19/0.64 inference(scs_inference,[],[35,21,44,45,37,28,4,30])).
% 0.19/0.64 cnf(63,plain,
% 0.19/0.64 (E(a6,a7)),
% 0.19/0.64 inference(scs_inference,[],[35,21,44,45,37,28,4,30,2])).
% 0.19/0.64 cnf(64,plain,
% 0.19/0.64 (P4(a2,a6,a6)),
% 0.19/0.64 inference(scs_inference,[],[35,22,21,44,45,37,28,4,30,2,16])).
% 0.19/0.64 cnf(67,plain,
% 0.19/0.64 (P5(a2,a4,a6)),
% 0.19/0.64 inference(scs_inference,[],[35,22,24,21,44,45,37,28,4,30,2,16,15,14,13])).
% 0.19/0.64 cnf(85,plain,
% 0.19/0.64 (E(a4,a5)),
% 0.19/0.64 inference(scs_inference,[],[19,25,23,24,20,21,64,61,63,67,45,4,13,8,33,32])).
% 0.19/0.64 cnf(102,plain,
% 0.19/0.64 ($false),
% 0.19/0.64 inference(scs_inference,[],[85,19,27]),
% 0.19/0.64 ['proof']).
% 0.19/0.64 % SZS output end Proof
% 0.19/0.64 % Total time :0.010000s
%------------------------------------------------------------------------------