TSTP Solution File: GRP189-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP189-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 00:11:30 EDT 2023
% Result : Unsatisfiable 22.30s 22.52s
% Output : CNFRefutation 22.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP189-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.31 % Computer : n008.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 29 01:04:32 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.54 start to proof:theBenchmark
% 22.30/22.51 %-------------------------------------------
% 22.30/22.51 % File :CSE---1.6
% 22.30/22.51 % Problem :theBenchmark
% 22.30/22.51 % Transform :cnf
% 22.30/22.51 % Format :tptp:raw
% 22.30/22.51 % Command :java -jar mcs_scs.jar %d %s
% 22.30/22.51
% 22.30/22.51 % Result :Theorem 21.900000s
% 22.30/22.51 % Output :CNFRefutation 21.900000s
% 22.30/22.51 %-------------------------------------------
% 22.30/22.52 %--------------------------------------------------------------------------
% 22.30/22.52 % File : GRP189-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 22.30/22.52 % Domain : Group Theory (Lattice Ordered)
% 22.30/22.52 % Problem : Consequence of lattice theory
% 22.30/22.52 % Version : [Fuc94] (equality) axioms : Augmented.
% 22.30/22.52 % English :
% 22.30/22.52
% 22.30/22.52 % Refs : [Fuc94] Fuchs (1994), The Application of Goal-Orientated Heuri
% 22.30/22.52 % : [Sch95] Schulz (1995), Explanation Based Learning for Distribu
% 22.30/22.52 % Source : [Sch95]
% 22.30/22.52 % Names : p38b [Sch95]
% 22.30/22.52
% 22.30/22.52 % Status : Unsatisfiable
% 22.30/22.52 % 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
% 22.30/22.52 % Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 2 RR)
% 22.30/22.52 % Number of literals : 19 ( 19 equ; 1 neg)
% 22.30/22.52 % Maximal clause size : 1 ( 1 avg)
% 22.30/22.52 % Maximal term depth : 3 ( 2 avg)
% 22.30/22.52 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 22.30/22.52 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 22.30/22.52 % Number of variables : 36 ( 2 sgn)
% 22.30/22.52 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 22.30/22.52
% 22.30/22.52 % Comments : ORDERING LPO greatest_lower_bound > least_upper_bound >
% 22.30/22.52 % inverse > product > identity > a > b
% 22.30/22.52 % Bugfixes : v1.2.1 - Duplicate axioms in GRP004-2.ax removed.
% 22.30/22.52 %--------------------------------------------------------------------------
% 22.30/22.52 %----Include equality group theory axioms
% 22.30/22.52 include('Axioms/GRP004-0.ax').
% 22.30/22.52 %----Include Lattice ordered group (equality) axioms
% 22.30/22.52 include('Axioms/GRP004-2.ax').
% 22.30/22.52 %--------------------------------------------------------------------------
% 22.30/22.52 cnf(p38b_1,hypothesis,
% 22.30/22.52 inverse(identity) = identity ).
% 22.30/22.52
% 22.30/22.52 cnf(p38b_2,hypothesis,
% 22.30/22.52 inverse(inverse(X)) = X ).
% 22.30/22.52
% 22.30/22.52 cnf(p38b_3,hypothesis,
% 22.30/22.52 inverse(multiply(X,Y)) = multiply(inverse(Y),inverse(X)) ).
% 22.30/22.52
% 22.30/22.52 cnf(prove_p38b,negated_conjecture,
% 22.30/22.52 greatest_lower_bound(b,least_upper_bound(a,b)) != b ).
% 22.30/22.52
% 22.30/22.52 %--------------------------------------------------------------------------
% 22.30/22.52 %-------------------------------------------
% 22.30/22.52 % Proof found
% 22.30/22.52 % SZS status Theorem for theBenchmark
% 22.30/22.52 % SZS output start Proof
% 22.30/22.52 %ClaNum:29(EqnAxiom:10)
% 22.30/22.52 %VarNum:78(SingletonVarNum:36)
% 22.30/22.52 %MaxLitNum:1
% 22.30/22.52 %MaxfuncDepth:2
% 22.30/22.52 %SharedTerms:8
% 22.30/22.52 %goalClause: 29
% 22.30/22.52 %singleGoalClaCount:1
% 22.30/22.52 [11]E(f5(a1),a1)
% 22.30/22.52 [29]~E(f2(a3,f7(a4,a3)),a3)
% 22.30/22.52 [13]E(f6(a1,x131),x131)
% 22.30/22.52 [14]E(f2(x141,x141),x141)
% 22.30/22.52 [15]E(f7(x151,x151),x151)
% 22.30/22.52 [12]E(f5(f5(x121)),x121)
% 22.30/22.52 [16]E(f6(f5(x161),x161),a1)
% 22.30/22.52 [17]E(f2(x171,x172),f2(x172,x171))
% 22.30/22.52 [18]E(f7(x181,x182),f7(x182,x181))
% 22.30/22.52 [19]E(f2(x191,f7(x191,x192)),x191)
% 22.30/22.52 [20]E(f7(x201,f2(x201,x202)),x201)
% 22.30/22.53 [21]E(f5(f6(x211,x212)),f6(f5(x212),f5(x211)))
% 22.30/22.53 [22]E(f2(f2(x221,x222),x223),f2(x221,f2(x222,x223)))
% 22.30/22.53 [23]E(f7(f7(x231,x232),x233),f7(x231,f7(x232,x233)))
% 22.30/22.53 [24]E(f6(f6(x241,x242),x243),f6(x241,f6(x242,x243)))
% 22.30/22.53 [25]E(f2(f6(x251,x252),f6(x251,x253)),f6(x251,f2(x252,x253)))
% 22.30/22.53 [26]E(f7(f6(x261,x262),f6(x261,x263)),f6(x261,f7(x262,x263)))
% 22.30/22.53 [27]E(f2(f6(x271,x272),f6(x273,x272)),f6(f2(x271,x273),x272))
% 22.30/22.53 [28]E(f7(f6(x281,x282),f6(x283,x282)),f6(f7(x281,x283),x282))
% 22.30/22.53 %EqnAxiom
% 22.30/22.53 [1]E(x11,x11)
% 22.30/22.53 [2]E(x22,x21)+~E(x21,x22)
% 22.30/22.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 22.30/22.53 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 22.30/22.53 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 22.30/22.53 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 22.30/22.53 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73))
% 22.30/22.53 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82))
% 22.30/22.53 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 22.30/22.53 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 22.30/22.53
% 22.30/22.53 %-------------------------------------------
% 22.30/22.53 cnf(30,plain,
% 22.30/22.53 (E(a1,f5(a1))),
% 22.30/22.53 inference(scs_inference,[],[11,2])).
% 22.30/22.53 cnf(40,plain,
% 22.30/22.53 (~E(a3,f2(a3,f7(a4,a3)))),
% 22.30/22.53 inference(scs_inference,[],[29,2])).
% 22.30/22.53 cnf(41,plain,
% 22.30/22.53 (~E(f2(f7(a4,a3),a3),a3)),
% 22.30/22.53 inference(scs_inference,[],[29,17,2,3])).
% 22.30/22.53 cnf(46,plain,
% 22.30/22.53 (~E(f2(f7(a4,a3),a3),f6(a1,a3))),
% 22.30/22.53 inference(scs_inference,[],[13,41,3])).
% 22.30/22.53 cnf(60,plain,
% 22.30/22.53 (~E(f6(a1,a3),f2(f7(a4,a3),a3))),
% 22.30/22.53 inference(scs_inference,[],[16,30,46,3,2])).
% 22.30/22.53 cnf(61,plain,
% 22.30/22.53 (~E(f6(a1,a3),f6(a1,f2(f7(a4,a3),a3)))),
% 22.30/22.53 inference(scs_inference,[],[13,60,3])).
% 22.30/22.53 cnf(64,plain,
% 22.30/22.53 (~E(a3,f6(a1,f2(f7(a4,a3),a3)))),
% 22.30/22.53 inference(scs_inference,[],[13,61,3])).
% 22.30/22.53 cnf(112,plain,
% 22.30/22.53 (E(f2(x1121,f7(x1122,x1123)),f2(x1121,f7(x1123,x1122)))),
% 22.30/22.53 inference(scs_inference,[],[18,6])).
% 22.30/22.53 cnf(127,plain,
% 22.30/22.53 (E(x1271,f2(x1271,f7(x1271,x1272)))),
% 22.30/22.53 inference(scs_inference,[],[19,25,64,3,2])).
% 22.30/22.53 cnf(679,plain,
% 22.30/22.53 ($false),
% 22.30/22.53 inference(scs_inference,[],[112,127,40,3]),
% 22.30/22.53 ['proof']).
% 22.30/22.54 % SZS output end Proof
% 22.30/22.54 % Total time :21.900000s
%------------------------------------------------------------------------------