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Twee---2.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP184-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:09:37 AM UTC 2026

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   13
% Syntax   : Number of clauses     :  110 ( 110 unt;   0 nHn;   7 RR)
%            Number of literals    :  110 ( 109 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :  140 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
    multiply(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != multiply(inverse(greatest_lower_bound(a,identity)),least_upper_bound(a,identity)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p21x) ).

cnf(c2,hypothesis,
    inverse(greatest_lower_bound(X,Y)) = least_upper_bound(inverse(X),inverse(Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21x_4) ).

cnf(c3,plain,
    inverse(greatest_lower_bound(X2,X3)) = least_upper_bound(inverse(X2),inverse(X3)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c4,axiom,
    least_upper_bound(X2,Y2) = least_upper_bound(Y2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).

cnf(c5,plain,
    least_upper_bound(inverse(X2),inverse(X3)) = least_upper_bound(inverse(X3),inverse(X2)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c6,plain,
    inverse(greatest_lower_bound(X2,X3)) = least_upper_bound(inverse(X3),inverse(X2)),
    inference(transitivity,[status(thm)],[c3,c5]) ).

cnf(c7,plain,
    inverse(greatest_lower_bound(X2,identity)) = least_upper_bound(inverse(identity),inverse(X2)),
    inference(substitution,[status(thm)],[c6]) ).

cnf(c8,plain,
    multiply(inverse(greatest_lower_bound(X2,identity)),least_upper_bound(X2,identity)) = multiply(least_upper_bound(inverse(identity),inverse(X2)),least_upper_bound(X2,identity)),
    inference(congruence,[status(thm)],[c7]) ).

cnf(c9,plain,
    least_upper_bound(X2,inverse(identity)) = least_upper_bound(inverse(identity),X2),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c10,plain,
    least_upper_bound(inverse(identity),X2) = least_upper_bound(X2,inverse(identity)),
    inference(symmetry,[status(thm)],[c9]) ).

cnf(c11,plain,
    multiply(least_upper_bound(inverse(identity),X2),X3) = multiply(least_upper_bound(X2,inverse(identity)),X3),
    inference(congruence,[status(thm)],[c10]) ).

cnf(c12,plain,
    least_upper_bound(inverse(identity),X2) = least_upper_bound(X2,inverse(identity)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c13,plain,
    least_upper_bound(X2,inverse(identity)) = least_upper_bound(inverse(identity),X2),
    inference(symmetry,[status(thm)],[c12]) ).

cnf(c14,plain,
    multiply(least_upper_bound(X3,inverse(identity)),X2) = multiply(least_upper_bound(inverse(identity),X3),X2),
    inference(congruence,[status(thm)],[c13]) ).

cnf(c15,axiom,
    multiply(least_upper_bound(Y2,Z),X2) = least_upper_bound(multiply(Y2,X2),multiply(Z,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub2) ).

cnf(c16,plain,
    multiply(least_upper_bound(inverse(identity),X3),X2) = least_upper_bound(multiply(inverse(identity),X2),multiply(X3,X2)),
    inference(substitution,[status(thm)],[c15]) ).

cnf(c17,axiom,
    inverse(identity) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).

cnf(c18,plain,
    multiply(inverse(identity),X2) = multiply(identity,X2),
    inference(congruence,[status(thm)],[c17]) ).

cnf(c19,axiom,
    multiply(identity,X2) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).

cnf(c20,plain,
    multiply(inverse(identity),X2) = X2,
    inference(transitivity,[status(thm)],[c18,c19]) ).

cnf(c21,plain,
    least_upper_bound(multiply(inverse(identity),X2),multiply(X3,X2)) = least_upper_bound(X2,multiply(X3,X2)),
    inference(congruence,[status(thm)],[c20]) ).

cnf(c22,plain,
    multiply(least_upper_bound(inverse(identity),X3),X2) = least_upper_bound(X2,multiply(X3,X2)),
    inference(transitivity,[status(thm)],[c16,c21]) ).

cnf(c23,plain,
    multiply(least_upper_bound(X3,inverse(identity)),X2) = least_upper_bound(X2,multiply(X3,X2)),
    inference(transitivity,[status(thm)],[c14,c22]) ).

cnf(c24,plain,
    multiply(least_upper_bound(X2,inverse(identity)),X3) = least_upper_bound(X3,multiply(X2,X3)),
    inference(substitution,[status(thm)],[c23]) ).

cnf(c25,plain,
    multiply(least_upper_bound(inverse(identity),X2),X3) = least_upper_bound(X3,multiply(X2,X3)),
    inference(transitivity,[status(thm)],[c11,c24]) ).

cnf(c26,plain,
    multiply(least_upper_bound(inverse(identity),inverse(X2)),least_upper_bound(X2,identity)) = least_upper_bound(least_upper_bound(X2,identity),multiply(inverse(X2),least_upper_bound(X2,identity))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c27,axiom,
    inverse(inverse(X2)) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).

cnf(c28,plain,
    X2 = inverse(inverse(X2)),
    inference(symmetry,[status(thm)],[c27]) ).

cnf(c29,plain,
    multiply(X2,inverse(greatest_lower_bound(X2,identity))) = multiply(inverse(inverse(X2)),inverse(greatest_lower_bound(X2,identity))),
    inference(congruence,[status(thm)],[c28]) ).

cnf(c30,hypothesis,
    inverse(multiply(X2,Y2)) = multiply(inverse(Y2),inverse(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21x_3) ).

cnf(c31,plain,
    inverse(multiply(greatest_lower_bound(X2,identity),inverse(X2))) = multiply(inverse(inverse(X2)),inverse(greatest_lower_bound(X2,identity))),
    inference(substitution,[status(thm)],[c30]) ).

cnf(c32,plain,
    multiply(inverse(inverse(X2)),inverse(greatest_lower_bound(X2,identity))) = inverse(multiply(greatest_lower_bound(X2,identity),inverse(X2))),
    inference(symmetry,[status(thm)],[c31]) ).

cnf(c33,axiom,
    greatest_lower_bound(X2,Y2) = greatest_lower_bound(Y2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).

cnf(c34,plain,
    greatest_lower_bound(X2,inverse(identity)) = greatest_lower_bound(inverse(identity),X2),
    inference(substitution,[status(thm)],[c33]) ).

cnf(c35,plain,
    greatest_lower_bound(inverse(identity),X2) = greatest_lower_bound(X2,inverse(identity)),
    inference(symmetry,[status(thm)],[c34]) ).

cnf(c36,plain,
    greatest_lower_bound(X2,inverse(identity)) = greatest_lower_bound(X2,identity),
    inference(congruence,[status(thm)],[c17]) ).

cnf(c37,plain,
    greatest_lower_bound(inverse(identity),X2) = greatest_lower_bound(X2,identity),
    inference(transitivity,[status(thm)],[c35,c36]) ).

cnf(c38,plain,
    greatest_lower_bound(X2,identity) = greatest_lower_bound(inverse(identity),X2),
    inference(symmetry,[status(thm)],[c37]) ).

cnf(c39,plain,
    multiply(greatest_lower_bound(X2,identity),X3) = multiply(greatest_lower_bound(inverse(identity),X2),X3),
    inference(congruence,[status(thm)],[c38]) ).

cnf(c40,plain,
    greatest_lower_bound(X2,inverse(identity)) = greatest_lower_bound(inverse(identity),X2),
    inference(substitution,[status(thm)],[c33]) ).

cnf(c41,plain,
    greatest_lower_bound(inverse(identity),X2) = greatest_lower_bound(X2,inverse(identity)),
    inference(symmetry,[status(thm)],[c40]) ).

cnf(c42,plain,
    multiply(greatest_lower_bound(inverse(identity),X2),X3) = multiply(greatest_lower_bound(X2,inverse(identity)),X3),
    inference(congruence,[status(thm)],[c41]) ).

cnf(c43,plain,
    greatest_lower_bound(inverse(identity),X2) = greatest_lower_bound(X2,inverse(identity)),
    inference(substitution,[status(thm)],[c33]) ).

cnf(c44,plain,
    greatest_lower_bound(X2,inverse(identity)) = greatest_lower_bound(inverse(identity),X2),
    inference(symmetry,[status(thm)],[c43]) ).

cnf(c45,plain,
    multiply(greatest_lower_bound(X3,inverse(identity)),X2) = multiply(greatest_lower_bound(inverse(identity),X3),X2),
    inference(congruence,[status(thm)],[c44]) ).

cnf(c46,axiom,
    multiply(greatest_lower_bound(Y2,Z2),X2) = greatest_lower_bound(multiply(Y2,X2),multiply(Z2,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb2) ).

cnf(c47,plain,
    multiply(greatest_lower_bound(inverse(identity),X3),X2) = greatest_lower_bound(multiply(inverse(identity),X2),multiply(X3,X2)),
    inference(substitution,[status(thm)],[c46]) ).

cnf(c48,plain,
    greatest_lower_bound(multiply(inverse(identity),X2),multiply(X3,X2)) = greatest_lower_bound(X2,multiply(X3,X2)),
    inference(congruence,[status(thm)],[c20]) ).

cnf(c49,plain,
    multiply(greatest_lower_bound(inverse(identity),X3),X2) = greatest_lower_bound(X2,multiply(X3,X2)),
    inference(transitivity,[status(thm)],[c47,c48]) ).

cnf(c50,plain,
    multiply(greatest_lower_bound(X3,inverse(identity)),X2) = greatest_lower_bound(X2,multiply(X3,X2)),
    inference(transitivity,[status(thm)],[c45,c49]) ).

cnf(c51,plain,
    multiply(greatest_lower_bound(X2,inverse(identity)),X3) = greatest_lower_bound(X3,multiply(X2,X3)),
    inference(substitution,[status(thm)],[c50]) ).

cnf(c52,plain,
    multiply(greatest_lower_bound(inverse(identity),X2),X3) = greatest_lower_bound(X3,multiply(X2,X3)),
    inference(transitivity,[status(thm)],[c42,c51]) ).

cnf(c53,plain,
    multiply(greatest_lower_bound(X2,identity),X3) = greatest_lower_bound(X3,multiply(X2,X3)),
    inference(transitivity,[status(thm)],[c39,c52]) ).

cnf(c54,plain,
    multiply(greatest_lower_bound(X2,identity),inverse(X2)) = greatest_lower_bound(inverse(X2),multiply(X2,inverse(X2))),
    inference(substitution,[status(thm)],[c53]) ).

cnf(c55,plain,
    X2 = inverse(inverse(X2)),
    inference(symmetry,[status(thm)],[c27]) ).

cnf(c56,plain,
    multiply(X2,inverse(X2)) = multiply(inverse(inverse(X2)),inverse(X2)),
    inference(congruence,[status(thm)],[c55]) ).

cnf(c57,axiom,
    multiply(inverse(X2),X2) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).

cnf(c58,plain,
    identity = inverse(identity),
    inference(symmetry,[status(thm)],[c17]) ).

cnf(c59,plain,
    multiply(inverse(X2),X2) = inverse(identity),
    inference(transitivity,[status(thm)],[c57,c58]) ).

cnf(c60,plain,
    multiply(inverse(inverse(X2)),inverse(X2)) = inverse(identity),
    inference(substitution,[status(thm)],[c59]) ).

cnf(c61,plain,
    multiply(X2,inverse(X2)) = inverse(identity),
    inference(transitivity,[status(thm)],[c56,c60]) ).

cnf(c62,plain,
    greatest_lower_bound(inverse(X2),multiply(X2,inverse(X2))) = greatest_lower_bound(inverse(X2),inverse(identity)),
    inference(congruence,[status(thm)],[c61]) ).

cnf(c63,plain,
    greatest_lower_bound(inverse(X2),inverse(identity)) = greatest_lower_bound(inverse(identity),inverse(X2)),
    inference(substitution,[status(thm)],[c33]) ).

cnf(c64,plain,
    least_upper_bound(X2,inverse(identity)) = least_upper_bound(inverse(identity),X2),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c65,plain,
    least_upper_bound(inverse(identity),X2) = least_upper_bound(X2,inverse(identity)),
    inference(symmetry,[status(thm)],[c64]) ).

cnf(c66,plain,
    least_upper_bound(X2,inverse(identity)) = least_upper_bound(X2,identity),
    inference(congruence,[status(thm)],[c17]) ).

cnf(c67,plain,
    least_upper_bound(inverse(identity),X2) = least_upper_bound(X2,identity),
    inference(transitivity,[status(thm)],[c65,c66]) ).

cnf(c68,plain,
    least_upper_bound(X2,identity) = least_upper_bound(inverse(identity),X2),
    inference(symmetry,[status(thm)],[c67]) ).

cnf(c69,plain,
    inverse(least_upper_bound(X2,identity)) = inverse(least_upper_bound(inverse(identity),X2)),
    inference(congruence,[status(thm)],[c68]) ).

cnf(c70,hypothesis,
    inverse(least_upper_bound(X2,Y2)) = greatest_lower_bound(inverse(X2),inverse(Y2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21x_5) ).

cnf(c71,plain,
    inverse(least_upper_bound(inverse(identity),X2)) = greatest_lower_bound(inverse(inverse(identity)),inverse(X2)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c72,plain,
    inverse(inverse(identity)) = inverse(identity),
    inference(congruence,[status(thm)],[c17]) ).

cnf(c73,plain,
    greatest_lower_bound(inverse(inverse(identity)),inverse(X2)) = greatest_lower_bound(inverse(identity),inverse(X2)),
    inference(congruence,[status(thm)],[c72]) ).

cnf(c74,plain,
    inverse(least_upper_bound(inverse(identity),X2)) = greatest_lower_bound(inverse(identity),inverse(X2)),
    inference(transitivity,[status(thm)],[c71,c73]) ).

cnf(c75,plain,
    inverse(least_upper_bound(X2,identity)) = greatest_lower_bound(inverse(identity),inverse(X2)),
    inference(transitivity,[status(thm)],[c69,c74]) ).

cnf(c76,plain,
    greatest_lower_bound(inverse(identity),inverse(X2)) = inverse(least_upper_bound(X2,identity)),
    inference(symmetry,[status(thm)],[c75]) ).

cnf(c77,plain,
    greatest_lower_bound(inverse(X2),inverse(identity)) = inverse(least_upper_bound(X2,identity)),
    inference(transitivity,[status(thm)],[c63,c76]) ).

cnf(c78,plain,
    greatest_lower_bound(inverse(X2),multiply(X2,inverse(X2))) = inverse(least_upper_bound(X2,identity)),
    inference(transitivity,[status(thm)],[c62,c77]) ).

cnf(c79,plain,
    multiply(greatest_lower_bound(X2,identity),inverse(X2)) = inverse(least_upper_bound(X2,identity)),
    inference(transitivity,[status(thm)],[c54,c78]) ).

cnf(c80,plain,
    inverse(multiply(greatest_lower_bound(X2,identity),inverse(X2))) = inverse(inverse(least_upper_bound(X2,identity))),
    inference(congruence,[status(thm)],[c79]) ).

cnf(c81,plain,
    inverse(inverse(least_upper_bound(X2,identity))) = least_upper_bound(X2,identity),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c82,plain,
    inverse(multiply(greatest_lower_bound(X2,identity),inverse(X2))) = least_upper_bound(X2,identity),
    inference(transitivity,[status(thm)],[c80,c81]) ).

cnf(c83,plain,
    multiply(inverse(inverse(X2)),inverse(greatest_lower_bound(X2,identity))) = least_upper_bound(X2,identity),
    inference(transitivity,[status(thm)],[c32,c82]) ).

cnf(c84,plain,
    multiply(X2,inverse(greatest_lower_bound(X2,identity))) = least_upper_bound(X2,identity),
    inference(transitivity,[status(thm)],[c29,c83]) ).

cnf(c85,plain,
    least_upper_bound(X2,identity) = multiply(X2,inverse(greatest_lower_bound(X2,identity))),
    inference(symmetry,[status(thm)],[c84]) ).

cnf(c86,plain,
    multiply(inverse(X2),least_upper_bound(X2,identity)) = multiply(inverse(X2),multiply(X2,inverse(greatest_lower_bound(X2,identity)))),
    inference(congruence,[status(thm)],[c85]) ).

cnf(c87,axiom,
    multiply(multiply(X2,Y2),Z2) = multiply(X2,multiply(Y2,Z2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).

cnf(c88,plain,
    multiply(multiply(inverse(X3),X3),X2) = multiply(inverse(X3),multiply(X3,X2)),
    inference(substitution,[status(thm)],[c87]) ).

cnf(c89,plain,
    multiply(inverse(X3),multiply(X3,X2)) = multiply(multiply(inverse(X3),X3),X2),
    inference(symmetry,[status(thm)],[c88]) ).

cnf(c90,plain,
    multiply(multiply(inverse(X3),X3),X2) = multiply(inverse(identity),X2),
    inference(congruence,[status(thm)],[c59]) ).

cnf(c91,plain,
    multiply(multiply(inverse(X3),X3),X2) = X2,
    inference(transitivity,[status(thm)],[c90,c20]) ).

cnf(c92,plain,
    multiply(inverse(X3),multiply(X3,X2)) = X2,
    inference(transitivity,[status(thm)],[c89,c91]) ).

cnf(c93,plain,
    multiply(inverse(X2),multiply(X2,inverse(greatest_lower_bound(X2,identity)))) = inverse(greatest_lower_bound(X2,identity)),
    inference(substitution,[status(thm)],[c92]) ).

cnf(c94,plain,
    multiply(inverse(X2),least_upper_bound(X2,identity)) = inverse(greatest_lower_bound(X2,identity)),
    inference(transitivity,[status(thm)],[c86,c93]) ).

cnf(c95,plain,
    least_upper_bound(least_upper_bound(X2,identity),multiply(inverse(X2),least_upper_bound(X2,identity))) = least_upper_bound(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))),
    inference(congruence,[status(thm)],[c94]) ).

cnf(c96,plain,
    least_upper_bound(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))) = least_upper_bound(inverse(greatest_lower_bound(X2,identity)),least_upper_bound(X2,identity)),
    inference(substitution,[status(thm)],[c4]) ).

cnf(c97,plain,
    least_upper_bound(X2,identity) = least_upper_bound(inverse(identity),X2),
    inference(symmetry,[status(thm)],[c67]) ).

cnf(c98,plain,
    multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))) = multiply(least_upper_bound(inverse(identity),X2),inverse(greatest_lower_bound(X2,identity))),
    inference(congruence,[status(thm)],[c97]) ).

cnf(c99,plain,
    multiply(least_upper_bound(inverse(identity),X2),inverse(greatest_lower_bound(X2,identity))) = least_upper_bound(inverse(greatest_lower_bound(X2,identity)),multiply(X2,inverse(greatest_lower_bound(X2,identity)))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c100,plain,
    least_upper_bound(inverse(greatest_lower_bound(X2,identity)),multiply(X2,inverse(greatest_lower_bound(X2,identity)))) = least_upper_bound(inverse(greatest_lower_bound(X2,identity)),least_upper_bound(X2,identity)),
    inference(congruence,[status(thm)],[c84]) ).

cnf(c101,plain,
    multiply(least_upper_bound(inverse(identity),X2),inverse(greatest_lower_bound(X2,identity))) = least_upper_bound(inverse(greatest_lower_bound(X2,identity)),least_upper_bound(X2,identity)),
    inference(transitivity,[status(thm)],[c99,c100]) ).

cnf(c102,plain,
    multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))) = least_upper_bound(inverse(greatest_lower_bound(X2,identity)),least_upper_bound(X2,identity)),
    inference(transitivity,[status(thm)],[c98,c101]) ).

cnf(c103,plain,
    least_upper_bound(inverse(greatest_lower_bound(X2,identity)),least_upper_bound(X2,identity)) = multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))),
    inference(symmetry,[status(thm)],[c102]) ).

cnf(c104,plain,
    least_upper_bound(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))) = multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))),
    inference(transitivity,[status(thm)],[c96,c103]) ).

cnf(c105,plain,
    least_upper_bound(least_upper_bound(X2,identity),multiply(inverse(X2),least_upper_bound(X2,identity))) = multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))),
    inference(transitivity,[status(thm)],[c95,c104]) ).

cnf(c106,plain,
    multiply(least_upper_bound(inverse(identity),inverse(X2)),least_upper_bound(X2,identity)) = multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))),
    inference(transitivity,[status(thm)],[c26,c105]) ).

cnf(c107,plain,
    multiply(inverse(greatest_lower_bound(X2,identity)),least_upper_bound(X2,identity)) = multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))),
    inference(transitivity,[status(thm)],[c8,c106]) ).

cnf(c108,plain,
    multiply(inverse(greatest_lower_bound(a,identity)),least_upper_bound(a,identity)) = multiply(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))),
    inference(substitution,[status(thm)],[c107]) ).

cnf(c109,plain,
    multiply(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) = multiply(inverse(greatest_lower_bound(a,identity)),least_upper_bound(a,identity)),
    inference(symmetry,[status(thm)],[c108]) ).

cnf(c110,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP184-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  % Computer : n002.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 09:39:06 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54  Command-line arguments: --flatten --complete-subsets
% 0.19/0.54  
% 0.19/0.54  % SZS status Unsatisfiable
% 0.19/0.54  
% 0.19/0.54  % SZS output start CNFRefutation
% See solution above
% 0.19/0.57  
% 0.19/0.57  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------