%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LAT034-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% 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 : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 10:18:00 EDT 2024
% Result : Unsatisfiable 0.18s 0.58s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT034-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Jun 22 00:02:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.18/0.58 %-------------------------------------------
% 0.18/0.58 % File :CSE---1.7
% 0.18/0.58 % Problem :theBenchmark
% 0.18/0.58 % Transform :cnf
% 0.18/0.58 % Format :tptp:raw
% 0.18/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.58
% 0.18/0.58 % Result :Theorem 0.000000s
% 0.18/0.58 % Output :CNFRefutation 0.000000s
% 0.18/0.58 %-------------------------------------------
% 0.18/0.58 %--------------------------------------------------------------------------
% 0.18/0.58 % File : LAT034-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% 0.18/0.58 % Domain : Lattice Theory
% 0.18/0.58 % Problem : Idempotency of meet
% 0.18/0.58 % Version : [McC88] (equality) axioms.
% 0.18/0.58 % English :
% 0.18/0.58
% 0.18/0.58 % Refs : [DeN00] DeNivelle (2000), Email to G. Sutcliffe
% 0.18/0.58 % [McC88] McCune (1988), Challenge Equality Problems in Lattice
% 0.18/0.58 % Source : [DeN00]
% 0.18/0.58 % Names : idemp_of_meet [DeN00]
% 0.18/0.58
% 0.18/0.58 % Status : Unsatisfiable
% 0.18/0.58 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v6.4.0, 0.05 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.00 v2.5.0
% 0.18/0.58 % Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 1 RR)
% 0.18/0.58 % Number of literals : 7 ( 7 equ; 1 neg)
% 0.18/0.58 % Maximal clause size : 1 ( 1 avg)
% 0.18/0.58 % Maximal term depth : 3 ( 1 avg)
% 0.18/0.58 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.18/0.58 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 0.18/0.58 % Number of variables : 14 ( 2 sgn)
% 0.18/0.58 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.18/0.58
% 0.18/0.58 % Comments :
% 0.18/0.58 % Bugfixes : v2.5.0 - Used axioms without the conjecture
% 0.18/0.58 %--------------------------------------------------------------------------
% 0.18/0.58 %----Include lattice theory axioms
% 0.18/0.58 %include('Axioms/LAT001-0.ax').
% 0.18/0.58 %--------------------------------------------------------------------------
% 0.18/0.58 cnf(absorption1,axiom,
% 0.18/0.58 meet(X,join(X,Y)) = X ).
% 0.18/0.58
% 0.18/0.58 cnf(absorption2,axiom,
% 0.18/0.58 join(X,meet(X,Y)) = X ).
% 0.18/0.58
% 0.18/0.58 cnf(commutativity_of_meet,axiom,
% 0.18/0.58 meet(X,Y) = meet(Y,X) ).
% 0.18/0.58
% 0.18/0.58 cnf(commutativity_of_join,axiom,
% 0.18/0.58 join(X,Y) = join(Y,X) ).
% 0.18/0.58
% 0.18/0.58 cnf(associativity_of_meet,axiom,
% 0.18/0.58 meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ).
% 0.18/0.58
% 0.18/0.58 cnf(associativity_of_join,axiom,
% 0.18/0.58 join(join(X,Y),Z) = join(X,join(Y,Z)) ).
% 0.18/0.58
% 0.18/0.58 cnf(idempotence_of_meet,negated_conjecture,
% 0.18/0.58 meet(xx,xx) != xx ).
% 0.18/0.58
% 0.18/0.58 %--------------------------------------------------------------------------
% 0.18/0.58 %-------------------------------------------
% 0.18/0.58 % Proof found
% 0.18/0.58 % SZS status Theorem for theBenchmark
% 0.18/0.58 % SZS output start Proof
% 0.18/0.58 %ClaNum:14(EqnAxiom:7)
% 0.18/0.58 %VarNum:28(SingletonVarNum:14)
% 0.18/0.58 %MaxLitNum:1
% 0.18/0.58 %MaxfuncDepth:2
% 0.18/0.58 %SharedTerms:3
% 0.18/0.58 %goalClause: 14
% 0.18/0.58 %singleGoalClaCount:1
% 0.18/0.58 [14]~E(f2(a3,a3),a3)
% 0.18/0.58 [8]E(f1(x81,x82),f1(x82,x81))
% 0.18/0.58 [9]E(f2(x91,x92),f2(x92,x91))
% 0.18/0.58 [10]E(f1(x101,f2(x101,x102)),x101)
% 0.18/0.58 [11]E(f2(x111,f1(x111,x112)),x111)
% 0.18/0.58 [12]E(f1(f1(x121,x122),x123),f1(x121,f1(x122,x123)))
% 0.18/0.58 [13]E(f2(f2(x131,x132),x133),f2(x131,f2(x132,x133)))
% 0.18/0.58 %EqnAxiom
% 0.18/0.58 [1]E(x11,x11)
% 0.18/0.58 [2]E(x22,x21)+~E(x21,x22)
% 0.18/0.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.18/0.58 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 0.18/0.58 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 0.18/0.58 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63))
% 0.18/0.58 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72))
% 0.18/0.58
% 0.18/0.58 %-------------------------------------------
% 0.18/0.59 cnf(15,plain,
% 0.18/0.59 (E(x151,f1(x151,f2(x151,x152)))),
% 0.18/0.59 inference(scs_inference,[],[10,2])).
% 0.18/0.59 cnf(24,plain,
% 0.18/0.59 ($false),
% 0.18/0.59 inference(scs_inference,[],[14,15,12,11,2,3,7]),
% 0.18/0.59 ['proof']).
% 0.18/0.59 % SZS output end Proof
% 0.18/0.59 % Total time :0.000000s
%------------------------------------------------------------------------------