%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP189-2 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 06:39:12 EDT 2024
% Result : Unsatisfiable 0.12s 0.59s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP189-2 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Thu Jun 20 11:57:23 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.12/0.47 start to proof:theBenchmark
% 0.12/0.58 %-------------------------------------------
% 0.12/0.58 % File :CSE---1.7
% 0.12/0.58 % Problem :theBenchmark
% 0.12/0.58 % Transform :cnf
% 0.12/0.58 % Format :tptp:raw
% 0.12/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.12/0.58
% 0.12/0.58 % Result :Theorem 0.080000s
% 0.12/0.58 % Output :CNFRefutation 0.080000s
% 0.12/0.58 %-------------------------------------------
% 0.12/0.59 %--------------------------------------------------------------------------
% 0.12/0.59 % File : GRP189-2 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.12/0.59 % Domain : Group Theory (Lattice Ordered)
% 0.12/0.59 % Problem : Consequence of lattice theory
% 0.12/0.59 % Version : [Fuc94] (equality) axioms : Augmented.
% 0.12/0.59 % English :
% 0.12/0.59
% 0.12/0.59 % Refs : [Fuc94] Fuchs (1994), The Application of Goal-Orientated Heuri
% 0.12/0.59 % : [Sch95] Schulz (1995), Explanation Based Learning for Distribu
% 0.12/0.59 % Source : [Sch95]
% 0.12/0.59 % Names : p38b [Sch95]
% 0.12/0.59
% 0.12/0.59 % Status : Unsatisfiable
% 0.12/0.59 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v5.1.0, 0.07 v4.1.0, 0.09 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.00 v2.0.0
% 0.12/0.59 % Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 2 RR)
% 0.12/0.59 % Number of literals : 19 ( 19 equ; 1 neg)
% 0.12/0.59 % Maximal clause size : 1 ( 1 avg)
% 0.12/0.59 % Maximal term depth : 3 ( 2 avg)
% 0.12/0.59 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.12/0.59 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.12/0.59 % Number of variables : 36 ( 2 sgn)
% 0.12/0.59 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.12/0.59
% 0.12/0.59 % Comments : ORDERING LPO greatest_lower_bound > least_upper_bound >
% 0.12/0.59 % inverse > product > identity > a > b
% 0.12/0.59 % Bugfixes : v1.2.1 - Duplicate axioms in GRP004-2.ax removed.
% 0.12/0.59 %--------------------------------------------------------------------------
% 0.12/0.59 %----Include equality group theory axioms
% 0.12/0.59 include('Axioms/GRP004-0.ax').
% 0.12/0.59 %----Include Lattice ordered group (equality) axioms
% 0.12/0.59 include('Axioms/GRP004-2.ax').
% 0.12/0.59 %--------------------------------------------------------------------------
% 0.12/0.59 cnf(p38b_1,hypothesis,
% 0.12/0.59 inverse(identity) = identity ).
% 0.12/0.59
% 0.12/0.59 cnf(p38b_2,hypothesis,
% 0.12/0.59 inverse(inverse(X)) = X ).
% 0.12/0.59
% 0.12/0.59 cnf(p38b_3,hypothesis,
% 0.12/0.59 inverse(multiply(X,Y)) = multiply(inverse(Y),inverse(X)) ).
% 0.12/0.59
% 0.12/0.59 cnf(prove_p38b,negated_conjecture,
% 0.12/0.59 greatest_lower_bound(b,least_upper_bound(a,b)) != b ).
% 0.12/0.59
% 0.12/0.59 %--------------------------------------------------------------------------
% 0.12/0.59 %-------------------------------------------
% 0.12/0.59 % Proof found
% 0.12/0.59 % SZS status Theorem for theBenchmark
% 0.12/0.59 % SZS output start Proof
% 0.12/0.59 %ClaNum:29(EqnAxiom:10)
% 0.12/0.59 %VarNum:78(SingletonVarNum:36)
% 0.12/0.59 %MaxLitNum:1
% 0.12/0.59 %MaxfuncDepth:2
% 0.12/0.59 %SharedTerms:8
% 0.12/0.59 %goalClause: 29
% 0.12/0.59 %singleGoalClaCount:1
% 0.12/0.59 [11]E(f5(a1),a1)
% 0.12/0.59 [29]~E(f2(a3,f7(a4,a3)),a3)
% 0.12/0.59 [13]E(f6(a1,x131),x131)
% 0.12/0.59 [14]E(f2(x141,x141),x141)
% 0.12/0.59 [15]E(f7(x151,x151),x151)
% 0.12/0.59 [12]E(f5(f5(x121)),x121)
% 0.12/0.59 [16]E(f6(f5(x161),x161),a1)
% 0.12/0.59 [17]E(f2(x171,x172),f2(x172,x171))
% 0.12/0.59 [18]E(f7(x181,x182),f7(x182,x181))
% 0.12/0.59 [19]E(f2(x191,f7(x191,x192)),x191)
% 0.12/0.59 [20]E(f7(x201,f2(x201,x202)),x201)
% 0.12/0.59 [21]E(f5(f6(x211,x212)),f6(f5(x212),f5(x211)))
% 0.12/0.59 [22]E(f2(f2(x221,x222),x223),f2(x221,f2(x222,x223)))
% 0.12/0.59 [23]E(f7(f7(x231,x232),x233),f7(x231,f7(x232,x233)))
% 0.12/0.59 [24]E(f6(f6(x241,x242),x243),f6(x241,f6(x242,x243)))
% 0.12/0.59 [25]E(f2(f6(x251,x252),f6(x251,x253)),f6(x251,f2(x252,x253)))
% 0.12/0.59 [26]E(f7(f6(x261,x262),f6(x261,x263)),f6(x261,f7(x262,x263)))
% 0.12/0.59 [27]E(f2(f6(x271,x272),f6(x273,x272)),f6(f2(x271,x273),x272))
% 0.12/0.59 [28]E(f7(f6(x281,x282),f6(x283,x282)),f6(f7(x281,x283),x282))
% 0.50/0.59 %EqnAxiom
% 0.50/0.59 [1]E(x11,x11)
% 0.50/0.59 [2]E(x22,x21)+~E(x21,x22)
% 0.50/0.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.50/0.59 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.50/0.59 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 0.50/0.59 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 0.50/0.59 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73))
% 0.50/0.59 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82))
% 0.50/0.59 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.50/0.59 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.50/0.59
% 0.50/0.59 %-------------------------------------------
% 0.50/0.59 cnf(139,plain,
% 0.50/0.59 ($false),
% 0.50/0.59 inference(scs_inference,[],[29,18,19,3,6]),
% 0.50/0.59 ['proof']).
% 0.50/0.59 % SZS output end Proof
% 0.50/0.59 % Total time :0.080000s
%------------------------------------------------------------------------------