%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT052+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:04:21 AM UTC 2026
% Result : Theorem 0.24s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT052+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n028.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 13:24:17 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.24/0.51 start to proof:theBenchmark
% 0.24/0.52 %-------------------------------------------
% 0.24/0.52 % File :CSE---1.7
% 0.24/0.52 % Problem :theBenchmark
% 0.24/0.52 % Transform :cnf
% 0.24/0.52 % Format :tptp:raw
% 0.24/0.52 % Command :java -jar mcs_scs.jar %d %s
% 0.24/0.52
% 0.24/0.52 % Result :Theorem 0.027469s
% 0.24/0.52 % Output :CNFRefutation 0.027469s
% 0.24/0.52 %-------------------------------------------
% 0.24/0.52 %--------------------------------------------------------------------------
% 0.24/0.52 % File : MGT052+1 : TPTP v9.3.0. Released v2.4.0.
% 0.24/0.52 % Domain : Management (Organisation Theory)
% 0.24/0.52 % Problem : The environment at any time is similar with itself
% 0.24/0.52 % Version : [Han98] axioms.
% 0.24/0.52 % English :
% 0.24/0.52
% 0.24/0.52 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 0.24/0.52 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 0.24/0.52 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 0.24/0.52 % Source : [Kam00]
% 0.24/0.52 % Names : BACKGROUND ASSUMPTION 1 [Han98]
% 0.24/0.52
% 0.24/0.52 % Status : Theorem
% 0.24/0.52 % Rating : 0.04 v9.3.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.12 v3.7.0, 0.14 v3.5.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.22 v3.1.0, 0.17 v2.7.0, 0.00 v2.4.0
% 0.24/0.52 % Syntax : Number of formulae : 8 ( 1 unt; 0 def)
% 0.24/0.52 % Number of atoms : 21 ( 3 equ)
% 0.24/0.52 % Maximal formula atoms : 4 ( 2 avg)
% 0.24/0.52 % Number of connectives : 16 ( 3 ~; 4 |; 3 &)
% 0.24/0.52 % ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% 0.24/0.52 % Maximal formula depth : 8 ( 5 avg)
% 0.24/0.52 % Maximal term depth : 1 ( 1 avg)
% 0.24/0.52 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 0.24/0.52 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.24/0.52 % Number of variables : 18 ( 18 !; 0 ?)
% 0.24/0.52 % SPC : FOF_THM_RFO_SEQ
% 0.24/0.52
% 0.24/0.52 % Comments : See MGT042+1.p for the mnemonic names.
% 0.24/0.52 %--------------------------------------------------------------------------
% 0.24/0.52 include('Axioms/MGT001+0.ax').
% 0.24/0.52 %--------------------------------------------------------------------------
% 0.24/0.52 %----Problem Axioms
% 0.24/0.52 %----Two states of the environment are dissimilar for an organization
% 0.24/0.52 %----if and only if the organization cannot be aligned to both.
% 0.24/0.53 %----
% 0.24/0.53 %----Added quantification over X.
% 0.24/0.53 fof(definition_2,axiom,
% 0.24/0.53 ! [X,T0,T] :
% 0.24/0.53 ( dissimilar(X,T0,T)
% 0.24/0.53 <=> ( organization(X)
% 0.24/0.53 & ~ ( is_aligned(X,T0)
% 0.24/0.53 <=> is_aligned(X,T) ) ) ) ).
% 0.24/0.53
% 0.24/0.53 %----Problem theorems
% 0.24/0.53 %----Background Assumption 1
% 0.24/0.53 %----The environment at any time is similar with itself.
% 0.24/0.53 %----
% 0.24/0.53 %----Added quantification over X.
% 0.24/0.53 %----***(is immediate consequence of D2!)***
% 0.24/0.53 %----No inequalities needed.
% 0.24/0.53 fof(background_assumption_1,conjecture,
% 0.24/0.53 ! [X,T] : ~ dissimilar(X,T,T) ).
% 0.24/0.53
% 0.24/0.53 %--------------------------------------------------------------------------
% 0.24/0.53 %-------------------------------------------
% 0.24/0.53 % Proof found
% 0.24/0.53 % SZS status Theorem for theBenchmark
% 0.24/0.53 % SZS output start Proof
% 0.24/0.53 %ClaNum:34(EqnAxiom:17)
% 0.24/0.53 %VarNum:86(SingletonVarNum:38)
% 0.24/0.53 %MaxLitNum:4
% 0.24/0.53 %MaxfuncDepth:0
% 0.24/0.53 %SharedTerms:3
% 0.24/0.53 %goalClause: 18
% 0.24/0.53 %singleGoalClaCount:1
% 0.24/0.53 [18]P1(a1,a2,a2)
% 0.24/0.53 [19]~E(x191,x192)+P2(x191,x192)
% 0.24/0.53 [20]~E(x201,x202)+P3(x201,x202)
% 0.24/0.53 [22]~P5(x221,x222)+P2(x221,x222)
% 0.24/0.53 [23]~P4(x232,x231)+P5(x231,x232)
% 0.24/0.53 [24]~P4(x241,x242)+P3(x241,x242)
% 0.24/0.53 [25]~P5(x252,x251)+P4(x251,x252)
% 0.24/0.53 [28]~P4(x282,x281)+~P4(x281,x282)
% 0.24/0.53 [30]P6(x301)+~P1(x301,x302,x303)
% 0.24/0.53 [21]P5(x211,x212)+P4(x211,x212)+E(x211,x212)
% 0.24/0.53 [26]P5(x261,x262)+~P2(x261,x262)+E(x261,x262)
% 0.24/0.53 [27]P4(x271,x272)+~P3(x271,x272)+E(x271,x272)
% 0.24/0.53 [29]~P4(x291,x293)+P4(x291,x292)+~P4(x293,x292)
% 0.24/0.53 [33]~P1(x331,x333,x332)+P7(x331,x332)+P7(x331,x333)
% 0.24/0.53 [34]~P1(x341,x343,x342)+~P7(x341,x342)+~P7(x341,x343)
% 0.24/0.53 [31]~P6(x311)+~P7(x311,x313)+P7(x311,x312)+P1(x311,x312,x313)
% 0.24/0.53 [32]~P6(x321)+~P7(x321,x323)+P7(x321,x322)+P1(x321,x323,x322)
% 0.24/0.53 %EqnAxiom
% 0.24/0.53 [1]E(x11,x11)
% 0.24/0.53 [2]E(x22,x21)+~E(x21,x22)
% 0.24/0.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.24/0.53 [4]P1(x42,x43,x44)+~E(x41,x42)+~P1(x41,x43,x44)
% 0.24/0.53 [5]P1(x53,x52,x54)+~E(x51,x52)+~P1(x53,x51,x54)
% 0.24/0.53 [6]P1(x63,x64,x62)+~E(x61,x62)+~P1(x63,x64,x61)
% 0.24/0.53 [7]P2(x72,x73)+~E(x71,x72)+~P2(x71,x73)
% 0.24/0.53 [8]P2(x83,x82)+~E(x81,x82)+~P2(x83,x81)
% 0.24/0.53 [9]P3(x92,x93)+~E(x91,x92)+~P3(x91,x93)
% 0.24/0.53 [10]P3(x103,x102)+~E(x101,x102)+~P3(x103,x101)
% 0.24/0.53 [11]P5(x112,x113)+~E(x111,x112)+~P5(x111,x113)
% 0.24/0.53 [12]P5(x123,x122)+~E(x121,x122)+~P5(x123,x121)
% 0.24/0.53 [13]P4(x132,x133)+~E(x131,x132)+~P4(x131,x133)
% 0.24/0.53 [14]P4(x143,x142)+~E(x141,x142)+~P4(x143,x141)
% 0.24/0.53 [15]P7(x152,x153)+~E(x151,x152)+~P7(x151,x153)
% 0.24/0.53 [16]P7(x163,x162)+~E(x161,x162)+~P7(x163,x161)
% 0.24/0.53 [17]~P6(x171)+P6(x172)+~E(x171,x172)
% 0.24/0.53
% 0.24/0.53 %-------------------------------------------
% 0.24/0.53 cnf(70,plain,
% 0.24/0.53 (P7(a1,a2)+P7(x701,a2)+~E(a1,x701)),
% 0.24/0.53 inference(scs_inference,[],[18,15,33])).
% 0.24/0.53 cnf(71,plain,
% 0.24/0.53 (P7(a1,a2)+P7(a1,a2)),
% 0.24/0.53 inference(equality_inference,[],[70])).
% 0.24/0.53 cnf(72,plain,
% 0.24/0.53 (P7(a1,a2)),
% 0.24/0.53 inference(factoring_inference,[],[71])).
% 0.24/0.53 cnf(74,plain,
% 0.24/0.53 ($false),
% 0.24/0.53 inference(scs_inference,[],[18,72,34]),
% 0.24/0.53 ['proof']).
% 0.24/0.53 % SZS output end Proof
% 0.24/0.53 % Total time :0.027469s
%------------------------------------------------------------------------------