TSTP Solution File: MGT011-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : MGT011-1 : 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 : n021.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 09:06:43 EDT 2023

% Result   : Unsatisfiable 0.21s 0.68s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT011-1 : 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 : n021.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 06:25:13 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.21/0.58  start to proof:theBenchmark
% 0.21/0.68  %-------------------------------------------
% 0.21/0.68  % File        :CSE---1.6
% 0.21/0.68  % Problem     :theBenchmark
% 0.21/0.68  % Transform   :cnf
% 0.21/0.68  % Format      :tptp:raw
% 0.21/0.68  % Command     :java -jar mcs_scs.jar %d %s
% 0.21/0.68  
% 0.21/0.68  % Result      :Theorem 0.040000s
% 0.21/0.68  % Output      :CNFRefutation 0.040000s
% 0.21/0.68  %-------------------------------------------
% 0.21/0.68  %--------------------------------------------------------------------------
% 0.21/0.68  % File     : MGT011-1 : TPTP v8.1.2. Released v2.4.0.
% 0.21/0.68  % Domain   : Management (Organisation Theory)
% 0.21/0.68  % Problem  : Organizational size cannot decrease without reorganization
% 0.21/0.68  % Version  : [PB+94] axioms.
% 0.21/0.68  % English  :
% 0.21/0.68  
% 0.21/0.68  % Refs     : [PB+92] Peli et al. (1992), A Logical Approach to Formalizing
% 0.21/0.68  %          : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing
% 0.21/0.68  %          : [Kam94] Kamps (1994), Email to G. Sutcliffe
% 0.21/0.68  % Source   : [TPTP]
% 0.21/0.68  % Names    :
% 0.21/0.68  
% 0.21/0.68  % Status   : Unsatisfiable
% 0.21/0.68  % Rating   : 0.00 v6.1.0, 0.20 v6.0.0, 0.22 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v4.0.0, 0.33 v3.5.0, 0.17 v3.3.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.4.0
% 0.21/0.68  % Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;  14 RR)
% 0.21/0.68  %            Number of literals    :   38 (   2 equ;  26 neg)
% 0.21/0.68  %            Maximal clause size   :   10 (   2 avg)
% 0.21/0.68  %            Maximal term depth    :    2 (   1 avg)
% 0.21/0.68  %            Number of predicates  :    7 (   6 usr;   0 prp; 2-3 aty)
% 0.21/0.68  %            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
% 0.21/0.68  %            Number of variables   :   27 (   0 sgn)
% 0.21/0.68  % SPC      : CNF_UNS_RFO_SEQ_HRN
% 0.21/0.68  
% 0.21/0.68  % Comments : Created with tptp2X -f tptp -t clausify:otter MGT011+1.p
% 0.21/0.68  %--------------------------------------------------------------------------
% 0.21/0.68  cnf(mp5_20,axiom,
% 0.21/0.68      ( ~ organization(A,B)
% 0.21/0.68      | inertia(A,sk1(B,A),B) ) ).
% 0.21/0.68  
% 0.21/0.68  cnf(mp6_1_21,axiom,
% 0.21/0.68      ( ~ greater(A,B)
% 0.21/0.68      | A != B ) ).
% 0.21/0.68  
% 0.21/0.68  cnf(mp6_2_22,axiom,
% 0.21/0.68      ( ~ greater(A,B)
% 0.21/0.68      | ~ greater(B,A) ) ).
% 0.21/0.68  
% 0.21/0.68  cnf(mp9_23,axiom,
% 0.21/0.68      ( ~ organization(A,B)
% 0.21/0.68      | class(A,sk2(B,A),B) ) ).
% 0.21/0.68  
% 0.21/0.68  cnf(mp10_24,axiom,
% 0.21/0.68      ( ~ organization(A,B)
% 0.21/0.68      | ~ organization(A,C)
% 0.21/0.68      | ~ reorganization_free(A,B,C)
% 0.21/0.68      | ~ class(A,D,B)
% 0.21/0.68      | ~ class(A,E,C)
% 0.21/0.68      | D = E ) ).
% 0.21/0.68  
% 0.21/0.68  cnf(a5_FOL_25,hypothesis,
% 0.21/0.68      ( ~ organization(A,B)
% 0.21/0.68      | ~ organization(C,D)
% 0.21/0.68      | ~ class(A,E,B)
% 0.21/0.68      | ~ class(C,E,D)
% 0.21/0.68      | ~ size(A,F,B)
% 0.21/0.68      | ~ size(C,G,D)
% 0.21/0.68      | ~ inertia(A,H,B)
% 0.21/0.68      | ~ inertia(C,I,D)
% 0.21/0.68      | ~ greater(G,F)
% 0.21/0.68      | greater(I,H) ) ).
% 0.21/0.68  
% 0.21/0.68  cnf(t2_FOL_26,hypothesis,
% 0.21/0.68      ( ~ organization(A,B)
% 0.21/0.68      | ~ organization(A,C)
% 0.21/0.68      | ~ reorganization_free(A,B,C)
% 0.21/0.68      | ~ inertia(A,D,B)
% 0.21/0.68      | ~ inertia(A,E,C)
% 0.21/0.68      | ~ greater(C,B)
% 0.21/0.68      | greater(E,D) ) ).
% 0.21/0.68  
% 0.21/0.68  cnf(t11_FOL_27,negated_conjecture,
% 0.21/0.68      organization(sk3,sk6) ).
% 0.21/0.68  
% 0.21/0.68  cnf(t11_FOL_28,negated_conjecture,
% 0.21/0.68      organization(sk3,sk7) ).
% 0.21/0.68  
% 0.21/0.68  cnf(t11_FOL_29,negated_conjecture,
% 0.21/0.68      reorganization_free(sk3,sk6,sk7) ).
% 0.21/0.68  
% 0.21/0.68  cnf(t11_FOL_30,negated_conjecture,
% 0.21/0.68      size(sk3,sk4,sk6) ).
% 0.21/0.68  
% 0.21/0.68  cnf(t11_FOL_31,negated_conjecture,
% 0.21/0.68      size(sk3,sk5,sk7) ).
% 0.21/0.68  
% 0.21/0.68  cnf(t11_FOL_32,negated_conjecture,
% 0.21/0.68      greater(sk7,sk6) ).
% 0.21/0.68  
% 0.21/0.68  cnf(t11_FOL_33,negated_conjecture,
% 0.21/0.68      greater(sk4,sk5) ).
% 0.21/0.68  
% 0.21/0.68  %--------------------------------------------------------------------------
% 0.21/0.68  %-------------------------------------------
% 0.21/0.68  % Proof found
% 0.21/0.68  % SZS status Theorem for theBenchmark
% 0.21/0.68  % SZS output start Proof
% 0.21/0.68  %ClaNum:37(EqnAxiom:23)
% 0.21/0.68  %VarNum:78(SingletonVarNum:27)
% 0.21/0.68  %MaxLitNum:10
% 0.21/0.68  %MaxfuncDepth:1
% 0.21/0.68  %SharedTerms:12
% 0.21/0.68  %goalClause: 24 25 26 27 28 29 30
% 0.21/0.69  %singleGoalClaCount:7
% 0.21/0.69  [24]P1(a1,a4)
% 0.21/0.69  [25]P1(a1,a7)
% 0.21/0.69  [26]P2(a7,a4)
% 0.21/0.69  [27]P2(a5,a6)
% 0.21/0.69  [28]P5(a1,a4,a7)
% 0.21/0.69  [29]P6(a1,a5,a4)
% 0.21/0.69  [30]P6(a1,a6,a7)
% 0.21/0.69  [31]~P2(x311,x312)+~E(x311,x312)
% 0.21/0.69  [32]~P2(x322,x321)+~P2(x321,x322)
% 0.21/0.69  [33]~P1(x331,x332)+P4(x331,f2(x332,x331),x332)
% 0.21/0.69  [34]~P1(x341,x342)+P3(x341,f3(x342,x341),x342)
% 0.21/0.69  [35]~P3(x353,x352,x354)+~P3(x353,x351,x355)+~P5(x353,x355,x354)+E(x351,x352)+~P1(x353,x354)+~P1(x353,x355)
% 0.21/0.69  [36]~P2(x364,x365)+~P4(x363,x361,x364)+~P4(x363,x362,x365)+~P5(x363,x365,x364)+P2(x361,x362)+~P1(x363,x364)+~P1(x363,x365)
% 0.21/0.69  [37]~P4(x373,x371,x374)+~P4(x375,x372,x376)+~P3(x375,x379,x376)+~P6(x373,x377,x374)+~P6(x375,x378,x376)+P2(x371,x372)+~P1(x373,x374)+~P3(x373,x379,x374)+~P1(x375,x376)+~P2(x377,x378)
% 0.21/0.69  %EqnAxiom
% 0.21/0.69  [1]E(x11,x11)
% 0.21/0.69  [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.69  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.69  [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.21/0.69  [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.21/0.69  [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.21/0.69  [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.21/0.69  [8]P1(x82,x83)+~E(x81,x82)+~P1(x81,x83)
% 0.21/0.69  [9]P1(x93,x92)+~E(x91,x92)+~P1(x93,x91)
% 0.21/0.69  [10]P6(x102,x103,x104)+~E(x101,x102)+~P6(x101,x103,x104)
% 0.21/0.69  [11]P6(x113,x112,x114)+~E(x111,x112)+~P6(x113,x111,x114)
% 0.21/0.69  [12]P6(x123,x124,x122)+~E(x121,x122)+~P6(x123,x124,x121)
% 0.21/0.69  [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 0.21/0.69  [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 0.21/0.69  [15]P4(x152,x153,x154)+~E(x151,x152)+~P4(x151,x153,x154)
% 0.21/0.69  [16]P4(x163,x162,x164)+~E(x161,x162)+~P4(x163,x161,x164)
% 0.21/0.69  [17]P4(x173,x174,x172)+~E(x171,x172)+~P4(x173,x174,x171)
% 0.21/0.69  [18]P5(x182,x183,x184)+~E(x181,x182)+~P5(x181,x183,x184)
% 0.21/0.69  [19]P5(x193,x192,x194)+~E(x191,x192)+~P5(x193,x191,x194)
% 0.21/0.69  [20]P5(x203,x204,x202)+~E(x201,x202)+~P5(x203,x204,x201)
% 0.21/0.69  [21]P3(x212,x213,x214)+~E(x211,x212)+~P3(x211,x213,x214)
% 0.21/0.69  [22]P3(x223,x222,x224)+~E(x221,x222)+~P3(x223,x221,x224)
% 0.21/0.69  [23]P3(x233,x234,x232)+~E(x231,x232)+~P3(x233,x234,x231)
% 0.21/0.69  
% 0.21/0.69  %-------------------------------------------
% 0.21/0.69  cnf(40,plain,
% 0.21/0.69     (P3(a1,f3(a4,a1),a4)),
% 0.21/0.69     inference(scs_inference,[],[24,26,32,31,34])).
% 0.21/0.69  cnf(42,plain,
% 0.21/0.69     (P4(a1,f2(a4,a1),a4)),
% 0.21/0.69     inference(scs_inference,[],[24,26,32,31,34,33])).
% 0.21/0.69  cnf(82,plain,
% 0.21/0.69     (P3(a1,f3(a7,a1),a7)),
% 0.21/0.69     inference(scs_inference,[],[26,28,27,42,25,24,33,36,32,31,34])).
% 0.21/0.69  cnf(84,plain,
% 0.21/0.69     (~P3(a1,f3(a7,a1),a4)),
% 0.21/0.69     inference(scs_inference,[],[26,29,30,28,27,42,25,24,33,36,32,31,34,37])).
% 0.21/0.69  cnf(90,plain,
% 0.21/0.69     (~E(f3(a4,a1),f3(a7,a1))),
% 0.21/0.69     inference(scs_inference,[],[84,40,22])).
% 0.21/0.69  cnf(112,plain,
% 0.21/0.69     ($false),
% 0.21/0.69     inference(scs_inference,[],[28,40,90,82,24,25,35]),
% 0.21/0.69     ['proof']).
% 0.21/0.69  % SZS output end Proof
% 0.21/0.69  % Total time :0.040000s
%------------------------------------------------------------------------------