TSTP Solution File: GRP186-4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP186-4 : 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 : n012.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 62.07s 62.10s
% Output : CNFRefutation 62.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP186-4 : 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 : n012.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 : Mon Aug 28 20:53:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.63 start to proof:theBenchmark
% 62.07/62.09 %-------------------------------------------
% 62.07/62.09 % File :CSE---1.6
% 62.07/62.09 % Problem :theBenchmark
% 62.07/62.09 % Transform :cnf
% 62.07/62.09 % Format :tptp:raw
% 62.07/62.09 % Command :java -jar mcs_scs.jar %d %s
% 62.07/62.09
% 62.07/62.09 % Result :Theorem 61.410000s
% 62.07/62.09 % Output :CNFRefutation 61.410000s
% 62.07/62.09 %-------------------------------------------
% 62.07/62.10 %--------------------------------------------------------------------------
% 62.07/62.10 % File : GRP186-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 62.07/62.10 % Domain : Group Theory (Lattice Ordered)
% 62.07/62.10 % Problem : Application of distributivity and group theory
% 62.07/62.10 % Version : [Fuc94] (equality) axioms : Augmented.
% 62.07/62.10 % Theorem formulation : Switched from GLB to LUB.
% 62.07/62.10 % English :
% 62.07/62.10
% 62.07/62.10 % Refs : [Fuc94] Fuchs (1994), The Application of Goal-Orientated Heuri
% 62.07/62.10 % : [Sch95] Schulz (1995), Explanation Based Learning for Distribu
% 62.07/62.10 % Source : [Sch95]
% 62.07/62.10 % Names : p23x [Sch95]
% 62.07/62.10
% 62.07/62.10 % Status : Unsatisfiable
% 62.07/62.10 % Rating : 0.00 v8.1.0, 0.05 v7.5.0, 0.00 v7.4.0, 0.04 v7.3.0, 0.05 v7.1.0, 0.00 v7.0.0, 0.05 v6.4.0, 0.11 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.06 v6.0.0, 0.24 v5.5.0, 0.21 v5.4.0, 0.00 v5.2.0, 0.07 v5.0.0, 0.00 v2.1.0, 0.14 v2.0.0
% 62.07/62.10 % Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 2 RR)
% 62.07/62.10 % Number of literals : 19 ( 19 equ; 1 neg)
% 62.07/62.10 % Maximal clause size : 1 ( 1 avg)
% 62.07/62.10 % Maximal term depth : 4 ( 2 avg)
% 62.07/62.10 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 62.07/62.10 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 62.07/62.10 % Number of variables : 36 ( 2 sgn)
% 62.07/62.10 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 62.07/62.10
% 62.07/62.10 % Comments : ORDERING LPO inverse > product > greatest_lower_bound >
% 62.07/62.10 % least_upper_bound > identity > a > b
% 62.07/62.10 % Bugfixes : v1.2.1 - Duplicate axioms in GRP004-2.ax removed.
% 62.07/62.10 %--------------------------------------------------------------------------
% 62.07/62.10 %----Include equality group theory axioms
% 62.07/62.10 include('Axioms/GRP004-0.ax').
% 62.07/62.10 %----Include Lattice ordered group (equality) axioms
% 62.07/62.10 include('Axioms/GRP004-2.ax').
% 62.07/62.10 %--------------------------------------------------------------------------
% 62.07/62.10 cnf(p23x_1,hypothesis,
% 62.07/62.10 inverse(identity) = identity ).
% 62.07/62.10
% 62.07/62.10 cnf(p23x_2,hypothesis,
% 62.07/62.10 inverse(inverse(X)) = X ).
% 62.07/62.10
% 62.07/62.10 cnf(p23x_3,hypothesis,
% 62.07/62.10 inverse(multiply(X,Y)) = multiply(inverse(Y),inverse(X)) ).
% 62.07/62.10
% 62.07/62.10 cnf(prove_p23x,negated_conjecture,
% 62.07/62.10 least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)) ).
% 62.07/62.10
% 62.07/62.10 %--------------------------------------------------------------------------
% 62.07/62.10 %-------------------------------------------
% 62.07/62.10 % Proof found
% 62.07/62.10 % SZS status Theorem for theBenchmark
% 62.07/62.10 % SZS output start Proof
% 62.07/62.10 %ClaNum:29(EqnAxiom:10)
% 62.07/62.10 %VarNum:78(SingletonVarNum:36)
% 62.07/62.10 %MaxLitNum:1
% 62.07/62.10 %MaxfuncDepth:3
% 62.07/62.10 %SharedTerms:11
% 62.07/62.10 %goalClause: 29
% 62.07/62.10 %singleGoalClaCount:1
% 62.07/62.10 [11]E(f5(a1),a1)
% 62.07/62.10 [29]~E(f6(a3,f7(f5(a3),a4)),f7(f6(a3,a4),a1))
% 62.07/62.10 [13]E(f6(a1,x131),x131)
% 62.07/62.10 [14]E(f2(x141,x141),x141)
% 62.07/62.10 [15]E(f7(x151,x151),x151)
% 62.07/62.10 [12]E(f5(f5(x121)),x121)
% 62.07/62.10 [16]E(f6(f5(x161),x161),a1)
% 62.07/62.10 [17]E(f2(x171,x172),f2(x172,x171))
% 62.07/62.10 [18]E(f7(x181,x182),f7(x182,x181))
% 62.07/62.10 [19]E(f2(x191,f7(x191,x192)),x191)
% 62.07/62.10 [20]E(f7(x201,f2(x201,x202)),x201)
% 62.07/62.10 [21]E(f5(f6(x211,x212)),f6(f5(x212),f5(x211)))
% 62.07/62.10 [22]E(f2(f2(x221,x222),x223),f2(x221,f2(x222,x223)))
% 62.07/62.10 [23]E(f7(f7(x231,x232),x233),f7(x231,f7(x232,x233)))
% 62.07/62.10 [24]E(f6(f6(x241,x242),x243),f6(x241,f6(x242,x243)))
% 62.07/62.10 [25]E(f2(f6(x251,x252),f6(x251,x253)),f6(x251,f2(x252,x253)))
% 62.07/62.10 [26]E(f7(f6(x261,x262),f6(x261,x263)),f6(x261,f7(x262,x263)))
% 62.07/62.10 [27]E(f2(f6(x271,x272),f6(x273,x272)),f6(f2(x271,x273),x272))
% 62.07/62.10 [28]E(f7(f6(x281,x282),f6(x283,x282)),f6(f7(x281,x283),x282))
% 62.07/62.10 %EqnAxiom
% 62.07/62.10 [1]E(x11,x11)
% 62.07/62.10 [2]E(x22,x21)+~E(x21,x22)
% 62.07/62.11 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 62.07/62.11 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 62.07/62.11 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53))
% 62.07/62.11 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62))
% 62.07/62.11 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 62.07/62.11 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 62.07/62.11 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 62.07/62.11 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 62.07/62.11
% 62.07/62.11 %-------------------------------------------
% 62.11/62.11 cnf(30,plain,
% 62.11/62.11 (E(a1,f5(a1))),
% 62.11/62.11 inference(scs_inference,[],[11,2])).
% 62.11/62.11 cnf(31,plain,
% 62.11/62.11 (E(f2(f5(a1),f5(a1)),a1)),
% 62.11/62.11 inference(scs_inference,[],[11,14,2,3])).
% 62.11/62.11 cnf(33,plain,
% 62.11/62.11 (E(f2(x331,f5(a1)),f2(x331,a1))),
% 62.11/62.11 inference(scs_inference,[],[11,14,2,3,10])).
% 62.11/62.11 cnf(37,plain,
% 62.11/62.11 (E(f7(x371,f5(a1)),f7(x371,a1))),
% 62.11/62.11 inference(scs_inference,[],[11,14,2,3,10,9,8,7,6])).
% 62.11/62.11 cnf(43,plain,
% 62.11/62.11 (E(x431,f7(x431,x431))),
% 62.11/62.11 inference(scs_inference,[],[15,2])).
% 62.11/62.11 cnf(55,plain,
% 62.11/62.11 (E(f6(f5(f5(x551)),x552),f6(x551,x552))),
% 62.11/62.11 inference(scs_inference,[],[12,2,9,6,5,10,8,7])).
% 62.11/62.11 cnf(57,plain,
% 62.11/62.11 (E(a1,f7(f5(a1),f5(a1)))),
% 62.11/62.11 inference(scs_inference,[],[12,30,43,2,9,6,5,10,8,7,4,3])).
% 62.11/62.11 cnf(59,plain,
% 62.11/62.11 (E(f7(f2(x591,f5(a1)),f2(x591,f5(a1))),f2(x591,a1))),
% 62.11/62.11 inference(scs_inference,[],[15,33,3])).
% 62.11/62.11 cnf(71,plain,
% 62.11/62.11 (~E(f6(a3,f7(f5(a3),a4)),f7(f6(a3,a4),f5(a1)))),
% 62.11/62.11 inference(scs_inference,[],[37,29,3])).
% 62.11/62.11 cnf(89,plain,
% 62.11/62.11 (~E(f6(a3,f7(f5(a3),a4)),f7(f5(a1),f6(a3,a4)))),
% 62.11/62.11 inference(scs_inference,[],[18,31,71,2,3])).
% 62.11/62.11 cnf(91,plain,
% 62.11/62.11 (~E(f7(f5(a1),f6(a3,a4)),f6(a3,f7(f5(a3),a4)))),
% 62.11/62.11 inference(scs_inference,[],[89,2])).
% 62.11/62.11 cnf(152,plain,
% 62.11/62.11 (~E(f5(a1),f6(a3,f5(a3)))),
% 62.11/62.11 inference(scs_inference,[],[26,91,3,5])).
% 62.11/62.11 cnf(248,plain,
% 62.11/62.11 (E(a1,f7(f5(a1),a1))),
% 62.11/62.11 inference(scs_inference,[],[37,57,59,2,3])).
% 62.11/62.11 cnf(306,plain,
% 62.11/62.11 (~E(f6(f5(f5(a3)),f5(a3)),f5(a1))),
% 62.11/62.11 inference(scs_inference,[],[55,152,3,2])).
% 62.11/62.11 cnf(1528,plain,
% 62.11/62.11 ($false),
% 62.11/62.11 inference(scs_inference,[],[30,248,306,16,2,3]),
% 62.11/62.11 ['proof']).
% 62.11/62.11 % SZS output end Proof
% 62.11/62.11 % Total time :61.410000s
%------------------------------------------------------------------------------