TSTP Solution File: GRP182-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP182-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n027.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 00:11:27 EDT 2023
% Result : Unsatisfiable 180.85s 180.97s
% Output : CNFRefutation 180.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP182-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n027.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 : Tue Aug 29 00:45:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 180.85/180.95 %-------------------------------------------
% 180.85/180.95 % File :CSE---1.6
% 180.85/180.95 % Problem :theBenchmark
% 180.85/180.95 % Transform :cnf
% 180.85/180.95 % Format :tptp:raw
% 180.85/180.95 % Command :java -jar mcs_scs.jar %d %s
% 180.85/180.95
% 180.85/180.95 % Result :Theorem 180.220000s
% 180.85/180.95 % Output :CNFRefutation 180.220000s
% 180.85/180.95 %-------------------------------------------
% 180.85/180.97 %--------------------------------------------------------------------------
% 180.85/180.97 % File : GRP182-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 180.85/180.97 % Domain : Group Theory (Lattice Ordered)
% 180.85/180.97 % Problem : Positive part of the negative part is identity
% 180.85/180.97 % Version : [Fuc94] (equality) axioms.
% 180.85/180.97 % English :
% 180.85/180.97
% 180.85/180.97 % Refs : [Fuc94] Fuchs (1994), The Application of Goal-Orientated Heuri
% 180.85/180.97 % : [Sch95] Schulz (1995), Explanation Based Learning for Distribu
% 180.85/180.97 % : [Dah95] Dahn (1995), Email to G. Sutcliffe
% 180.85/180.97 % Source : [TPTP]
% 180.85/180.97 % Names :
% 180.85/180.97
% 180.85/180.97 % Status : Unsatisfiable
% 180.85/180.97 % 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 v2.0.0
% 180.85/180.97 % Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 1 RR)
% 180.85/180.97 % Number of literals : 16 ( 16 equ; 1 neg)
% 180.85/180.97 % Maximal clause size : 1 ( 1 avg)
% 180.85/180.97 % Maximal term depth : 3 ( 2 avg)
% 180.85/180.97 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 180.85/180.97 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 180.85/180.97 % Number of variables : 33 ( 2 sgn)
% 180.85/180.97 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 180.85/180.97
% 180.85/180.97 % Comments : ORDERING LPO inverse > product > greatest_lower_bound >
% 180.85/180.97 % least_upper_bound > identity > a
% 180.85/180.97 % : ORDERING LPO greatest_lower_bound > least_upper_bound >
% 180.85/180.97 % inverse > product > identity > a
% 180.85/180.97 % : This is a standardized version of the problem that appears in
% 180.85/180.97 % [Sch95].
% 180.85/180.97 % : The theorem clause has been modified according to instructions
% 180.85/180.97 % in [Dah95].
% 180.85/180.97 % Bugfixes : v1.2.1 - Duplicate axioms in GRP004-2.ax removed.
% 180.85/180.97 %--------------------------------------------------------------------------
% 180.85/180.97 %----Include equality group theory axioms
% 180.85/180.97 include('Axioms/GRP004-0.ax').
% 180.85/180.97 %----Include Lattice ordered group (equality) axioms
% 180.85/180.97 include('Axioms/GRP004-2.ax').
% 180.85/180.97 %--------------------------------------------------------------------------
% 180.85/180.97 %----This is Schulz's clause
% 180.85/180.97 %input_clause(prove_p17a,negated_conjecture,
% 180.85/180.97 % [--equal(least_upper_bound(identity,least_upper_bound(a,identity)),
% 180.85/180.97 %least_upper_bound(a,identity))]).
% 180.85/180.97 %----This is Dahn's clause
% 180.85/180.97 cnf(prove_p17a,negated_conjecture,
% 180.85/180.97 least_upper_bound(identity,greatest_lower_bound(a,identity)) != identity ).
% 180.85/180.97
% 180.85/180.97 %--------------------------------------------------------------------------
% 180.85/180.97 %-------------------------------------------
% 180.85/180.97 % Proof found
% 180.85/180.97 % SZS status Theorem for theBenchmark
% 180.85/180.97 % SZS output start Proof
% 180.89/180.98 %ClaNum:26(EqnAxiom:10)
% 180.89/180.98 %VarNum:72(SingletonVarNum:33)
% 180.89/180.98 %MaxLitNum:1
% 180.89/180.98 %MaxfuncDepth:2
% 180.89/180.98 %SharedTerms:5
% 180.89/180.98 %goalClause: 26
% 180.89/180.98 %singleGoalClaCount:1
% 180.89/180.98 [26]~E(f5(a1,f2(a3,a1)),a1)
% 180.89/180.98 [11]E(f4(a1,x111),x111)
% 180.89/180.98 [12]E(f2(x121,x121),x121)
% 180.89/180.98 [13]E(f5(x131,x131),x131)
% 180.89/180.98 [14]E(f4(f6(x141),x141),a1)
% 180.89/180.98 [15]E(f2(x151,x152),f2(x152,x151))
% 180.89/180.98 [16]E(f5(x161,x162),f5(x162,x161))
% 180.89/180.98 [17]E(f2(x171,f5(x171,x172)),x171)
% 180.89/180.98 [18]E(f5(x181,f2(x181,x182)),x181)
% 180.89/180.98 [19]E(f2(f2(x191,x192),x193),f2(x191,f2(x192,x193)))
% 180.89/180.98 [20]E(f5(f5(x201,x202),x203),f5(x201,f5(x202,x203)))
% 180.89/180.98 [21]E(f4(f4(x211,x212),x213),f4(x211,f4(x212,x213)))
% 180.89/180.98 [22]E(f2(f4(x221,x222),f4(x221,x223)),f4(x221,f2(x222,x223)))
% 180.89/180.98 [23]E(f5(f4(x231,x232),f4(x231,x233)),f4(x231,f5(x232,x233)))
% 180.89/180.98 [24]E(f2(f4(x241,x242),f4(x243,x242)),f4(f2(x241,x243),x242))
% 180.89/180.98 [25]E(f5(f4(x251,x252),f4(x253,x252)),f4(f5(x251,x253),x252))
% 180.89/180.98 %EqnAxiom
% 180.89/180.98 [1]E(x11,x11)
% 180.89/180.98 [2]E(x22,x21)+~E(x21,x22)
% 180.89/180.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 180.89/180.98 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 180.89/180.98 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 180.89/180.98 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63))
% 180.89/180.98 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72))
% 180.89/180.98 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 180.89/180.98 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 180.89/180.98 [10]~E(x101,x102)+E(f6(x101),f6(x102))
% 180.89/180.98
% 180.89/180.98 %-------------------------------------------
% 180.89/181.00 cnf(27,plain,
% 180.89/181.00 (E(x271,f2(x271,x271))),
% 180.89/181.00 inference(scs_inference,[],[12,2])).
% 180.89/181.00 cnf(28,plain,
% 180.89/181.00 (~E(f5(a1,f2(a3,a1)),f2(a1,a1))),
% 180.89/181.00 inference(scs_inference,[],[26,12,2,3])).
% 180.89/181.00 cnf(29,plain,
% 180.89/181.00 (E(f2(x291,x291),x291)),
% 180.89/181.00 inference(rename_variables,[],[12])).
% 180.89/181.00 cnf(30,plain,
% 180.89/181.00 (E(f6(f2(x301,x301)),f6(x301))),
% 180.89/181.00 inference(scs_inference,[],[26,12,29,2,3,10])).
% 180.89/181.00 cnf(32,plain,
% 180.89/181.00 (E(f5(f2(x321,x321),x322),f5(x321,x322))),
% 180.89/181.00 inference(scs_inference,[],[26,12,29,2,3,10,9,8])).
% 180.89/181.00 cnf(33,plain,
% 180.89/181.00 (E(f2(x331,f2(x332,x332)),f2(x331,x332))),
% 180.89/181.00 inference(scs_inference,[],[26,12,29,2,3,10,9,8,7])).
% 180.89/181.00 cnf(34,plain,
% 180.89/181.00 (E(f2(f2(x341,x341),x342),f2(x341,x342))),
% 180.89/181.00 inference(scs_inference,[],[26,12,29,2,3,10,9,8,7,6])).
% 180.89/181.00 cnf(37,plain,
% 180.89/181.00 (~E(f5(f2(a3,a1),a1),a1)),
% 180.89/181.00 inference(scs_inference,[],[26,16,3])).
% 180.89/181.00 cnf(39,plain,
% 180.89/181.00 (~E(a1,f5(a1,f2(a3,a1)))),
% 180.89/181.00 inference(scs_inference,[],[26,16,3,2])).
% 180.89/181.00 cnf(40,plain,
% 180.89/181.00 (E(x401,f4(a1,x401))),
% 180.89/181.00 inference(scs_inference,[],[11,2])).
% 180.89/181.00 cnf(43,plain,
% 180.89/181.00 (~E(a1,f4(a1,f5(a1,f2(a3,a1))))),
% 180.89/181.00 inference(scs_inference,[],[11,39,3])).
% 180.89/181.00 cnf(45,plain,
% 180.89/181.00 (~E(f2(a1,a1),f5(a1,f2(a3,a1)))),
% 180.89/181.00 inference(scs_inference,[],[11,39,28,3,2])).
% 180.89/181.00 cnf(48,plain,
% 180.89/181.00 (E(x481,f5(x481,x481))),
% 180.89/181.00 inference(scs_inference,[],[13,27,43,3,2])).
% 180.89/181.00 cnf(50,plain,
% 180.89/181.00 (E(f5(f5(x501,x501),x502),f5(x501,x502))),
% 180.89/181.00 inference(scs_inference,[],[13,27,43,3,2,9,8])).
% 180.89/181.00 cnf(52,plain,
% 180.89/181.00 (E(f6(f5(x521,x521)),f6(x521))),
% 180.89/181.00 inference(scs_inference,[],[13,27,43,3,2,9,8,6,10])).
% 180.89/181.00 cnf(59,plain,
% 180.89/181.00 (~E(f5(a1,f2(a3,a1)),f5(f2(a1,a1),f2(a1,a1)))),
% 180.89/181.00 inference(scs_inference,[],[13,28,3])).
% 180.89/181.00 cnf(61,plain,
% 180.89/181.00 (E(f6(x611),f6(f2(x611,x611)))),
% 180.89/181.00 inference(scs_inference,[],[13,30,28,3,2])).
% 180.89/181.00 cnf(62,plain,
% 180.89/181.00 (~E(f5(f2(a1,a1),f2(a1,a1)),f5(a1,f2(a3,a1)))),
% 180.89/181.00 inference(scs_inference,[],[59,2])).
% 180.89/181.00 cnf(83,plain,
% 180.89/181.00 (~E(f5(a1,f2(a3,a1)),f2(a1,f2(a1,a1)))),
% 180.89/181.00 inference(scs_inference,[],[33,28,3])).
% 180.89/181.00 cnf(94,plain,
% 180.89/181.00 (~E(f2(f2(a1,a1),f2(a1,a1)),f5(a1,f2(a3,a1)))),
% 180.89/181.00 inference(scs_inference,[],[27,45,83,2,3])).
% 180.89/181.00 cnf(96,plain,
% 180.89/181.00 (E(f2(f2(x961,x961),f5(x961,x962)),x961)),
% 180.89/181.00 inference(scs_inference,[],[17,34,3])).
% 180.89/181.00 cnf(100,plain,
% 180.89/181.00 (~E(f5(a1,f2(a3,a1)),f2(f2(a1,a1),a1))),
% 180.89/181.00 inference(scs_inference,[],[19,94,83,2,3])).
% 180.89/181.00 cnf(122,plain,
% 180.89/181.00 (~E(f2(a1,a1),f2(a3,a1))),
% 180.89/181.00 inference(scs_inference,[],[32,100,62,2,3,9])).
% 180.89/181.00 cnf(134,plain,
% 180.89/181.00 (~E(a1,f5(f2(a3,a1),a1))),
% 180.89/181.00 inference(scs_inference,[],[37,2])).
% 180.89/181.00 cnf(139,plain,
% 180.89/181.00 (~E(f2(f2(a1,a1),f2(a1,a1)),f2(a3,a1))),
% 180.89/181.00 inference(scs_inference,[],[27,96,122,9,3])).
% 180.89/181.00 cnf(165,plain,
% 180.89/181.00 (~E(f2(a3,a1),f2(f2(a1,a1),f2(a1,a1)))),
% 180.89/181.00 inference(scs_inference,[],[25,32,139,3,2])).
% 180.89/181.00 cnf(198,plain,
% 180.89/181.00 (~E(f5(a1,a1),f5(a1,f2(a3,a1)))),
% 180.89/181.00 inference(scs_inference,[],[48,39,3])).
% 180.89/181.00 cnf(242,plain,
% 180.89/181.00 (~E(f5(a1,a1),f5(f2(a3,a1),a1))),
% 180.89/181.00 inference(scs_inference,[],[48,134,198,2,3])).
% 180.89/181.00 cnf(252,plain,
% 180.89/181.00 (~E(f5(f2(a3,a1),a1),f5(a1,a1))),
% 180.89/181.00 inference(scs_inference,[],[242,2])).
% 180.89/181.00 cnf(294,plain,
% 180.89/181.00 (~E(f5(a1,f2(a3,a1)),f5(f5(f2(a1,a1),f2(a1,a1)),f2(a1,a1)))),
% 180.89/181.00 inference(scs_inference,[],[59,50,3])).
% 180.89/181.00 cnf(299,plain,
% 180.89/181.00 (~E(f4(a1,f5(f2(a3,a1),a1)),f5(a1,a1))),
% 180.89/181.00 inference(scs_inference,[],[40,252,294,2,3])).
% 180.89/181.00 cnf(310,plain,
% 180.89/181.00 (E(f6(f5(x3101,x3101)),f6(f2(x3101,x3101)))),
% 180.89/181.00 inference(scs_inference,[],[61,52,299,2,3])).
% 180.89/181.00 cnf(316,plain,
% 180.89/181.00 (E(f5(x3161,f2(x3162,x3163)),f5(x3161,f2(x3163,x3162)))),
% 180.89/181.00 inference(scs_inference,[],[48,310,165,15,3,2,9])).
% 180.89/181.00 cnf(3001,plain,
% 180.89/181.00 ($false),
% 180.89/181.00 inference(scs_inference,[],[26,316,18,3]),
% 180.89/181.00 ['proof']).
% 180.89/181.00 % SZS output end Proof
% 180.89/181.00 % Total time :180.220000s
%------------------------------------------------------------------------------