TSTP Solution File: GRP188-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP188-1 : 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 : n001.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 62.37s 62.40s
% Output : CNFRefutation 62.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP188-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 01:27:21 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 62.33/62.39 %-------------------------------------------
% 62.33/62.39 % File :CSE---1.6
% 62.33/62.39 % Problem :theBenchmark
% 62.33/62.39 % Transform :cnf
% 62.33/62.39 % Format :tptp:raw
% 62.33/62.39 % Command :java -jar mcs_scs.jar %d %s
% 62.33/62.39
% 62.33/62.39 % Result :Theorem 61.780000s
% 62.33/62.39 % Output :CNFRefutation 61.780000s
% 62.33/62.39 %-------------------------------------------
% 62.33/62.40 %--------------------------------------------------------------------------
% 62.33/62.40 % File : GRP188-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 62.33/62.40 % Domain : Group Theory (Lattice Ordered)
% 62.33/62.40 % Problem : Consequence of lattice theory
% 62.33/62.40 % Version : [Fuc94] (equality) axioms.
% 62.33/62.40 % English :
% 62.33/62.40
% 62.33/62.40 % Refs : [Fuc94] Fuchs (1994), The Application of Goal-Orientated Heuri
% 62.33/62.40 % : [Sch95] Schulz (1995), Explanation Based Learning for Distribu
% 62.33/62.40 % Source : [TPTP]
% 62.33/62.40 % Names :
% 62.33/62.40
% 62.33/62.40 % Status : Unsatisfiable
% 62.33/62.40 % 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
% 62.33/62.40 % Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 1 RR)
% 62.33/62.40 % Number of literals : 16 ( 16 equ; 1 neg)
% 62.33/62.40 % Maximal clause size : 1 ( 1 avg)
% 62.33/62.40 % Maximal term depth : 3 ( 2 avg)
% 62.33/62.40 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 62.33/62.40 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 62.33/62.40 % Number of variables : 33 ( 2 sgn)
% 62.33/62.40 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 62.33/62.40
% 62.33/62.40 % Comments : ORDERING LPO greatest_lower_bound > least_upper_bound >
% 62.33/62.40 % inverse > product > identity > a > b
% 62.33/62.40 % : This is a standardized version of the problem that appears in
% 62.33/62.40 % [Sch95].
% 62.33/62.40 % Bugfixes : v1.2.1 - Duplicate axioms in GRP004-2.ax removed.
% 62.33/62.40 %--------------------------------------------------------------------------
% 62.33/62.40 %----Include equality group theory axioms
% 62.33/62.40 include('Axioms/GRP004-0.ax').
% 62.37/62.40 %----Include Lattice ordered group (equality) axioms
% 62.37/62.40 include('Axioms/GRP004-2.ax').
% 62.37/62.40 %--------------------------------------------------------------------------
% 62.37/62.40 cnf(prove_p38a,negated_conjecture,
% 62.37/62.40 least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b) ).
% 62.37/62.40
% 62.37/62.40 %--------------------------------------------------------------------------
% 62.37/62.40 %-------------------------------------------
% 62.37/62.40 % Proof found
% 62.37/62.40 % SZS status Theorem for theBenchmark
% 62.37/62.40 % SZS output start Proof
% 62.37/62.40 %ClaNum:26(EqnAxiom:10)
% 62.37/62.40 %VarNum:72(SingletonVarNum:33)
% 62.37/62.40 %MaxLitNum:1
% 62.37/62.40 %MaxfuncDepth:2
% 62.37/62.40 %SharedTerms:6
% 62.37/62.40 %goalClause: 26
% 62.37/62.40 %singleGoalClaCount:1
% 62.37/62.40 [26]~E(f6(a3,f6(a4,a3)),f6(a4,a3))
% 62.37/62.40 [11]E(f5(a1,x111),x111)
% 62.37/62.40 [12]E(f2(x121,x121),x121)
% 62.37/62.40 [13]E(f6(x131,x131),x131)
% 62.37/62.40 [14]E(f5(f7(x141),x141),a1)
% 62.37/62.40 [15]E(f2(x151,x152),f2(x152,x151))
% 62.37/62.40 [16]E(f6(x161,x162),f6(x162,x161))
% 62.37/62.40 [17]E(f2(x171,f6(x171,x172)),x171)
% 62.37/62.40 [18]E(f6(x181,f2(x181,x182)),x181)
% 62.37/62.40 [19]E(f2(f2(x191,x192),x193),f2(x191,f2(x192,x193)))
% 62.37/62.41 [20]E(f6(f6(x201,x202),x203),f6(x201,f6(x202,x203)))
% 62.37/62.41 [21]E(f5(f5(x211,x212),x213),f5(x211,f5(x212,x213)))
% 62.37/62.41 [22]E(f2(f5(x221,x222),f5(x221,x223)),f5(x221,f2(x222,x223)))
% 62.37/62.41 [23]E(f6(f5(x231,x232),f5(x231,x233)),f5(x231,f6(x232,x233)))
% 62.37/62.41 [24]E(f2(f5(x241,x242),f5(x243,x242)),f5(f2(x241,x243),x242))
% 62.37/62.41 [25]E(f6(f5(x251,x252),f5(x253,x252)),f5(f6(x251,x253),x252))
% 62.37/62.41 %EqnAxiom
% 62.37/62.41 [1]E(x11,x11)
% 62.37/62.41 [2]E(x22,x21)+~E(x21,x22)
% 62.37/62.41 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 62.37/62.41 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 62.37/62.41 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 62.37/62.41 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63))
% 62.37/62.41 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72))
% 62.37/62.41 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 62.37/62.41 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 62.37/62.41 [10]~E(x101,x102)+E(f7(x101),f7(x102))
% 62.37/62.41
% 62.37/62.41 %-------------------------------------------
% 62.37/62.41 cnf(27,plain,
% 62.37/62.41 (E(x271,f2(x271,x271))),
% 62.37/62.41 inference(scs_inference,[],[12,2])).
% 62.37/62.41 cnf(28,plain,
% 62.37/62.41 (~E(f6(a3,f6(a4,a3)),f2(f6(a4,a3),f6(a4,a3)))),
% 62.37/62.41 inference(scs_inference,[],[26,12,2,3])).
% 62.37/62.41 cnf(29,plain,
% 62.37/62.41 (E(f2(x291,x291),x291)),
% 62.37/62.41 inference(rename_variables,[],[12])).
% 62.37/62.41 cnf(30,plain,
% 62.37/62.41 (E(f7(f2(x301,x301)),f7(x301))),
% 62.37/62.41 inference(scs_inference,[],[26,12,29,2,3,10])).
% 62.37/62.41 cnf(32,plain,
% 62.37/62.41 (E(f6(f2(x321,x321),x322),f6(x321,x322))),
% 62.37/62.41 inference(scs_inference,[],[26,12,29,2,3,10,9,8])).
% 62.37/62.41 cnf(34,plain,
% 62.37/62.41 (E(f2(f2(x341,x341),x342),f2(x341,x342))),
% 62.37/62.41 inference(scs_inference,[],[26,12,29,2,3,10,9,8,7,6])).
% 62.37/62.41 cnf(36,plain,
% 62.37/62.41 (E(f5(f2(x361,x361),x362),f5(x361,x362))),
% 62.37/62.41 inference(scs_inference,[],[26,12,29,2,3,10,9,8,7,6,5,4])).
% 62.37/62.41 cnf(37,plain,
% 62.37/62.41 (~E(f6(f6(a4,a3),a3),f6(a4,a3))),
% 62.37/62.41 inference(scs_inference,[],[26,16,3])).
% 62.37/62.41 cnf(39,plain,
% 62.37/62.41 (~E(f6(a4,a3),f6(a3,f6(a4,a3)))),
% 62.37/62.41 inference(scs_inference,[],[26,16,3,2])).
% 62.37/62.41 cnf(40,plain,
% 62.37/62.41 (~E(f6(a4,a3),a4)),
% 62.37/62.41 inference(scs_inference,[],[26,16,3,2,8])).
% 62.37/62.41 cnf(41,plain,
% 62.37/62.41 (E(x411,f5(a1,x411))),
% 62.37/62.41 inference(scs_inference,[],[11,2])).
% 62.37/62.41 cnf(43,plain,
% 62.37/62.42 (E(f5(a1,x431),f2(x431,x431))),
% 62.37/62.42 inference(scs_inference,[],[11,27,2,8,3])).
% 62.37/62.42 cnf(46,plain,
% 62.37/62.42 (E(f5(a1,f5(f7(x461),x461)),a1)),
% 62.37/62.42 inference(scs_inference,[],[11,14,28,2,3])).
% 62.37/62.42 cnf(48,plain,
% 62.37/62.42 (~E(f2(f6(a4,a3),f6(a4,a3)),a4)),
% 62.37/62.42 inference(scs_inference,[],[27,40,3])).
% 62.37/62.42 cnf(50,plain,
% 62.37/62.42 (E(x501,f6(x501,x501))),
% 62.37/62.42 inference(scs_inference,[],[13,27,40,3,2])).
% 62.37/62.42 cnf(54,plain,
% 62.37/62.42 (E(f7(f6(x541,x541)),f7(x541))),
% 62.37/62.42 inference(scs_inference,[],[13,27,40,3,2,9,7,5,10])).
% 62.37/62.42 cnf(57,plain,
% 62.37/62.42 (~E(f6(a4,a3),f6(f6(a4,a3),a3))),
% 62.37/62.42 inference(scs_inference,[],[37,2])).
% 62.37/62.42 cnf(82,plain,
% 62.37/62.42 (~E(f6(a3,a4),f6(f6(a4,a3),a3))),
% 62.37/62.42 inference(scs_inference,[],[32,16,57,2,3])).
% 62.37/62.42 cnf(86,plain,
% 62.37/62.42 (~E(f6(f6(a4,a3),a3),f6(a3,a4))),
% 62.37/62.42 inference(scs_inference,[],[15,18,82,3,2])).
% 62.37/62.42 cnf(100,plain,
% 62.37/62.42 (~E(a4,f2(f6(a4,a3),f6(a4,a3)))),
% 62.37/62.42 inference(scs_inference,[],[16,86,48,3,2])).
% 62.37/62.42 cnf(101,plain,
% 62.37/62.42 (E(x1011,f2(x1011,f6(x1011,x1012)))),
% 62.37/62.42 inference(scs_inference,[],[17,2])).
% 62.37/62.42 cnf(123,plain,
% 62.37/62.42 (~E(f2(a4,a4),f2(f6(a4,a3),f6(a4,a3)))),
% 62.37/62.42 inference(scs_inference,[],[27,100,3])).
% 62.37/62.42 cnf(127,plain,
% 62.37/62.42 (E(f6(x1271,f6(x1272,x1273)),f6(f6(x1271,x1272),x1273))),
% 62.37/62.42 inference(scs_inference,[],[20,2])).
% 62.37/62.42 cnf(139,plain,
% 62.37/62.42 (~E(a4,f6(a3,a4))),
% 62.37/62.42 inference(scs_inference,[],[20,123,39,3,2,8])).
% 62.37/62.42 cnf(142,plain,
% 62.37/62.42 (~E(f2(a4,a4),f6(a3,a4))),
% 62.37/62.42 inference(scs_inference,[],[21,27,101,139,8,2,3])).
% 62.37/62.42 cnf(144,plain,
% 62.37/62.42 (~E(f6(a3,a4),f2(a4,a4))),
% 62.37/62.42 inference(scs_inference,[],[142,2])).
% 62.37/62.42 cnf(145,plain,
% 62.37/62.42 (E(f7(f2(x1451,x1451)),f2(f7(x1451),f7(x1451)))),
% 62.37/62.42 inference(scs_inference,[],[30,27,142,2,3])).
% 62.37/62.42 cnf(157,plain,
% 62.37/62.42 (~E(f2(f6(a3,a4),f6(a3,a4)),f2(a4,a4))),
% 62.37/62.42 inference(scs_inference,[],[27,144,43,8,3])).
% 62.37/62.42 cnf(168,plain,
% 62.37/62.42 (~E(f2(a4,a4),f2(f6(a3,a4),f6(a3,a4)))),
% 62.37/62.42 inference(scs_inference,[],[41,30,54,157,8,3,2])).
% 62.37/62.42 cnf(212,plain,
% 62.37/62.42 (E(f6(x2121,x2122),f6(x2121,f6(x2122,x2122)))),
% 62.37/62.42 inference(scs_inference,[],[46,36,145,50,2,3,10,7,9])).
% 62.37/62.42 cnf(254,plain,
% 62.37/62.42 (~E(f2(a4,a4),f2(f2(f6(a3,a4),f6(a3,a4)),f6(a3,a4)))),
% 62.37/62.42 inference(scs_inference,[],[34,168,3])).
% 62.37/62.42 cnf(1143,plain,
% 62.37/62.42 ($false),
% 62.37/62.42 inference(scs_inference,[],[127,57,212,254,2,3]),
% 62.37/62.42 ['proof']).
% 62.37/62.42 % SZS output end Proof
% 62.37/62.42 % Total time :61.780000s
%------------------------------------------------------------------------------