%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP184-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 0.86s 0.49s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 10
% Syntax : Number of clauses : 93 ( 93 unt; 0 nHn; 4 RR)
% Number of literals : 93 ( 92 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 160 ( 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/sandbox2/benchmark/theBenchmark.p',prove_p21x) ).
cnf(c2,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
cnf(c3,plain,
multiply(multiply(X4,X3),X2) = multiply(X4,multiply(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
multiply(inverse(X4),multiply(multiply(X4,X3),X2)) = multiply(inverse(X4),multiply(X4,multiply(X3,X2))),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,plain,
multiply(multiply(inverse(X3),X3),X2) = multiply(inverse(X3),multiply(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c6,plain,
multiply(inverse(X3),multiply(X3,X2)) = multiply(multiply(inverse(X3),X3),X2),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,axiom,
multiply(inverse(X2),X2) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c8,plain,
multiply(multiply(inverse(X3),X3),X2) = multiply(identity,X2),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
multiply(identity,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c10,plain,
multiply(multiply(inverse(X3),X3),X2) = X2,
inference(transitivity,[status(thm)],[c8,c9]) ).
cnf(c11,plain,
multiply(inverse(X3),multiply(X3,X2)) = X2,
inference(transitivity,[status(thm)],[c6,c10]) ).
cnf(c12,plain,
multiply(inverse(X4),multiply(X4,multiply(X3,X2))) = multiply(X3,X2),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
multiply(inverse(X4),multiply(multiply(X4,X3),X2)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c4,c12]) ).
cnf(c14,plain,
multiply(inverse(X2),multiply(multiply(X2,inverse(greatest_lower_bound(X3,identity))),least_upper_bound(X3,identity))) = multiply(inverse(greatest_lower_bound(X3,identity)),least_upper_bound(X3,identity)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
multiply(inverse(greatest_lower_bound(X3,identity)),least_upper_bound(X3,identity)) = multiply(inverse(X2),multiply(multiply(X2,inverse(greatest_lower_bound(X3,identity))),least_upper_bound(X3,identity))),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,axiom,
least_upper_bound(X2,Y2) = least_upper_bound(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).
cnf(c17,plain,
least_upper_bound(identity,X2) = least_upper_bound(X2,identity),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
least_upper_bound(X2,identity) = least_upper_bound(identity,X2),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,plain,
multiply(X3,least_upper_bound(X2,identity)) = multiply(X3,least_upper_bound(identity,X2)),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,axiom,
multiply(X2,least_upper_bound(Y2,Z2)) = least_upper_bound(multiply(X2,Y2),multiply(X2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub1) ).
cnf(c21,plain,
multiply(X3,least_upper_bound(identity,X2)) = least_upper_bound(multiply(X3,identity),multiply(X3,X2)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
X2 = multiply(inverse(X3),multiply(X3,X2)),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c23,plain,
multiply(inverse(inverse(X3)),X2) = multiply(inverse(inverse(X3)),multiply(inverse(X3),multiply(X3,X2))),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
multiply(inverse(inverse(X3)),multiply(inverse(X3),multiply(X3,X2))) = multiply(X3,X2),
inference(substitution,[status(thm)],[c11]) ).
cnf(c25,plain,
multiply(inverse(inverse(X3)),X2) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c23,c24]) ).
cnf(c26,plain,
multiply(inverse(inverse(X2)),identity) = multiply(X2,identity),
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
multiply(X2,identity) = multiply(inverse(inverse(X2)),identity),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,plain,
identity = multiply(inverse(X2),X2),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c29,plain,
multiply(inverse(inverse(X2)),identity) = multiply(inverse(inverse(X2)),multiply(inverse(X2),X2)),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
multiply(inverse(inverse(X2)),multiply(inverse(X2),X2)) = X2,
inference(substitution,[status(thm)],[c11]) ).
cnf(c31,plain,
multiply(inverse(inverse(X2)),identity) = X2,
inference(transitivity,[status(thm)],[c29,c30]) ).
cnf(c32,plain,
multiply(X2,identity) = X2,
inference(transitivity,[status(thm)],[c27,c31]) ).
cnf(c33,plain,
least_upper_bound(multiply(X3,identity),multiply(X3,X2)) = least_upper_bound(X3,multiply(X3,X2)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
multiply(X3,least_upper_bound(identity,X2)) = least_upper_bound(X3,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c21,c33]) ).
cnf(c35,plain,
multiply(X3,least_upper_bound(X2,identity)) = least_upper_bound(X3,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c19,c34]) ).
cnf(c36,plain,
multiply(multiply(X3,inverse(greatest_lower_bound(X2,identity))),least_upper_bound(X2,identity)) = least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(multiply(X3,inverse(greatest_lower_bound(X2,identity))),X2)),
inference(substitution,[status(thm)],[c35]) ).
cnf(c37,plain,
multiply(multiply(X3,inverse(greatest_lower_bound(X2,identity))),X2) = multiply(X3,multiply(inverse(greatest_lower_bound(X2,identity)),X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c38,plain,
least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(multiply(X3,inverse(greatest_lower_bound(X2,identity))),X2)) = least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(X3,multiply(inverse(greatest_lower_bound(X2,identity)),X2))),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,axiom,
greatest_lower_bound(X2,Y2) = greatest_lower_bound(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).
cnf(c40,plain,
greatest_lower_bound(identity,X2) = greatest_lower_bound(X2,identity),
inference(substitution,[status(thm)],[c39]) ).
cnf(c41,plain,
greatest_lower_bound(X2,identity) = greatest_lower_bound(identity,X2),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
multiply(greatest_lower_bound(X3,identity),X2) = multiply(greatest_lower_bound(identity,X3),X2),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,axiom,
multiply(greatest_lower_bound(Y2,Z2),X2) = greatest_lower_bound(multiply(Y2,X2),multiply(Z2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb2) ).
cnf(c44,plain,
multiply(greatest_lower_bound(identity,X3),X2) = greatest_lower_bound(multiply(identity,X2),multiply(X3,X2)),
inference(substitution,[status(thm)],[c43]) ).
cnf(c45,plain,
greatest_lower_bound(multiply(identity,X2),multiply(X3,X2)) = greatest_lower_bound(X2,multiply(X3,X2)),
inference(congruence,[status(thm)],[c9]) ).
cnf(c46,plain,
multiply(greatest_lower_bound(identity,X3),X2) = greatest_lower_bound(X2,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c44,c45]) ).
cnf(c47,plain,
multiply(greatest_lower_bound(X3,identity),X2) = greatest_lower_bound(X2,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c42,c46]) ).
cnf(c48,plain,
multiply(greatest_lower_bound(X3,identity),multiply(X3,X2)) = greatest_lower_bound(multiply(X3,X2),multiply(X3,multiply(X3,X2))),
inference(substitution,[status(thm)],[c47]) ).
cnf(c49,axiom,
multiply(X2,greatest_lower_bound(Y2,Z2)) = greatest_lower_bound(multiply(X2,Y2),multiply(X2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb1) ).
cnf(c50,plain,
multiply(X3,greatest_lower_bound(X2,multiply(X3,X2))) = greatest_lower_bound(multiply(X3,X2),multiply(X3,multiply(X3,X2))),
inference(substitution,[status(thm)],[c49]) ).
cnf(c51,plain,
greatest_lower_bound(multiply(X3,X2),multiply(X3,multiply(X3,X2))) = multiply(X3,greatest_lower_bound(X2,multiply(X3,X2))),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c52,plain,
greatest_lower_bound(X2,multiply(X3,X2)) = multiply(greatest_lower_bound(X3,identity),X2),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c53,plain,
multiply(X3,greatest_lower_bound(X2,multiply(X3,X2))) = multiply(X3,multiply(greatest_lower_bound(X3,identity),X2)),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
greatest_lower_bound(multiply(X3,X2),multiply(X3,multiply(X3,X2))) = multiply(X3,multiply(greatest_lower_bound(X3,identity),X2)),
inference(transitivity,[status(thm)],[c51,c53]) ).
cnf(c55,plain,
multiply(greatest_lower_bound(X3,identity),multiply(X3,X2)) = multiply(X3,multiply(greatest_lower_bound(X3,identity),X2)),
inference(transitivity,[status(thm)],[c48,c54]) ).
cnf(c56,plain,
multiply(greatest_lower_bound(X2,identity),multiply(X2,inverse(greatest_lower_bound(X2,identity)))) = multiply(X2,multiply(greatest_lower_bound(X2,identity),inverse(greatest_lower_bound(X2,identity)))),
inference(substitution,[status(thm)],[c55]) ).
cnf(c57,plain,
multiply(inverse(inverse(X2)),inverse(X2)) = multiply(X2,inverse(X2)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c58,plain,
multiply(X2,inverse(X2)) = multiply(inverse(inverse(X2)),inverse(X2)),
inference(symmetry,[status(thm)],[c57]) ).
cnf(c59,plain,
multiply(inverse(inverse(X2)),inverse(X2)) = identity,
inference(substitution,[status(thm)],[c7]) ).
cnf(c60,plain,
multiply(X2,inverse(X2)) = identity,
inference(transitivity,[status(thm)],[c58,c59]) ).
cnf(c61,plain,
multiply(greatest_lower_bound(X2,identity),inverse(greatest_lower_bound(X2,identity))) = identity,
inference(substitution,[status(thm)],[c60]) ).
cnf(c62,plain,
multiply(X2,multiply(greatest_lower_bound(X2,identity),inverse(greatest_lower_bound(X2,identity)))) = multiply(X2,identity),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
multiply(X2,multiply(greatest_lower_bound(X2,identity),inverse(greatest_lower_bound(X2,identity)))) = X2,
inference(transitivity,[status(thm)],[c62,c32]) ).
cnf(c64,plain,
multiply(greatest_lower_bound(X2,identity),multiply(X2,inverse(greatest_lower_bound(X2,identity)))) = X2,
inference(transitivity,[status(thm)],[c56,c63]) ).
cnf(c65,plain,
X2 = multiply(greatest_lower_bound(X2,identity),multiply(X2,inverse(greatest_lower_bound(X2,identity)))),
inference(symmetry,[status(thm)],[c64]) ).
cnf(c66,plain,
multiply(inverse(greatest_lower_bound(X2,identity)),X2) = multiply(inverse(greatest_lower_bound(X2,identity)),multiply(greatest_lower_bound(X2,identity),multiply(X2,inverse(greatest_lower_bound(X2,identity))))),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
multiply(inverse(greatest_lower_bound(X2,identity)),multiply(greatest_lower_bound(X2,identity),multiply(X2,inverse(greatest_lower_bound(X2,identity))))) = multiply(X2,inverse(greatest_lower_bound(X2,identity))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c68,plain,
multiply(inverse(greatest_lower_bound(X2,identity)),X2) = multiply(X2,inverse(greatest_lower_bound(X2,identity))),
inference(transitivity,[status(thm)],[c66,c67]) ).
cnf(c69,plain,
multiply(X3,multiply(inverse(greatest_lower_bound(X2,identity)),X2)) = multiply(X3,multiply(X2,inverse(greatest_lower_bound(X2,identity)))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(X3,multiply(inverse(greatest_lower_bound(X2,identity)),X2))) = least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(X3,multiply(X2,inverse(greatest_lower_bound(X2,identity))))),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
multiply(multiply(X3,X2),inverse(greatest_lower_bound(X2,identity))) = multiply(X3,multiply(X2,inverse(greatest_lower_bound(X2,identity)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c72,plain,
multiply(X3,multiply(X2,inverse(greatest_lower_bound(X2,identity)))) = multiply(multiply(X3,X2),inverse(greatest_lower_bound(X2,identity))),
inference(symmetry,[status(thm)],[c71]) ).
cnf(c73,plain,
least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(X3,multiply(X2,inverse(greatest_lower_bound(X2,identity))))) = least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(multiply(X3,X2),inverse(greatest_lower_bound(X2,identity)))),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,axiom,
multiply(least_upper_bound(Y2,Z2),X2) = least_upper_bound(multiply(Y2,X2),multiply(Z2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub2) ).
cnf(c75,plain,
multiply(least_upper_bound(X3,multiply(X3,X2)),inverse(greatest_lower_bound(X2,identity))) = least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(multiply(X3,X2),inverse(greatest_lower_bound(X2,identity)))),
inference(substitution,[status(thm)],[c74]) ).
cnf(c76,plain,
least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(multiply(X3,X2),inverse(greatest_lower_bound(X2,identity)))) = multiply(least_upper_bound(X3,multiply(X3,X2)),inverse(greatest_lower_bound(X2,identity))),
inference(symmetry,[status(thm)],[c75]) ).
cnf(c77,plain,
least_upper_bound(X3,multiply(X3,X2)) = multiply(X3,least_upper_bound(X2,identity)),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c78,plain,
multiply(least_upper_bound(X3,multiply(X3,X2)),inverse(greatest_lower_bound(X2,identity))) = multiply(multiply(X3,least_upper_bound(X2,identity)),inverse(greatest_lower_bound(X2,identity))),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
multiply(multiply(X3,least_upper_bound(X2,identity)),inverse(greatest_lower_bound(X2,identity))) = multiply(X3,multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c80,plain,
multiply(least_upper_bound(X3,multiply(X3,X2)),inverse(greatest_lower_bound(X2,identity))) = multiply(X3,multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity)))),
inference(transitivity,[status(thm)],[c78,c79]) ).
cnf(c81,plain,
least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(multiply(X3,X2),inverse(greatest_lower_bound(X2,identity)))) = multiply(X3,multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity)))),
inference(transitivity,[status(thm)],[c76,c80]) ).
cnf(c82,plain,
least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(X3,multiply(X2,inverse(greatest_lower_bound(X2,identity))))) = multiply(X3,multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity)))),
inference(transitivity,[status(thm)],[c73,c81]) ).
cnf(c83,plain,
least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(X3,multiply(inverse(greatest_lower_bound(X2,identity)),X2))) = multiply(X3,multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity)))),
inference(transitivity,[status(thm)],[c70,c82]) ).
cnf(c84,plain,
least_upper_bound(multiply(X3,inverse(greatest_lower_bound(X2,identity))),multiply(multiply(X3,inverse(greatest_lower_bound(X2,identity))),X2)) = multiply(X3,multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity)))),
inference(transitivity,[status(thm)],[c38,c83]) ).
cnf(c85,plain,
multiply(multiply(X3,inverse(greatest_lower_bound(X2,identity))),least_upper_bound(X2,identity)) = multiply(X3,multiply(least_upper_bound(X2,identity),inverse(greatest_lower_bound(X2,identity)))),
inference(transitivity,[status(thm)],[c36,c84]) ).
cnf(c86,plain,
multiply(multiply(X2,inverse(greatest_lower_bound(X3,identity))),least_upper_bound(X3,identity)) = multiply(X2,multiply(least_upper_bound(X3,identity),inverse(greatest_lower_bound(X3,identity)))),
inference(substitution,[status(thm)],[c85]) ).
cnf(c87,plain,
multiply(inverse(X2),multiply(multiply(X2,inverse(greatest_lower_bound(X3,identity))),least_upper_bound(X3,identity))) = multiply(inverse(X2),multiply(X2,multiply(least_upper_bound(X3,identity),inverse(greatest_lower_bound(X3,identity))))),
inference(congruence,[status(thm)],[c86]) ).
cnf(c88,plain,
multiply(inverse(X2),multiply(X2,multiply(least_upper_bound(X3,identity),inverse(greatest_lower_bound(X3,identity))))) = multiply(least_upper_bound(X3,identity),inverse(greatest_lower_bound(X3,identity))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c89,plain,
multiply(inverse(X2),multiply(multiply(X2,inverse(greatest_lower_bound(X3,identity))),least_upper_bound(X3,identity))) = multiply(least_upper_bound(X3,identity),inverse(greatest_lower_bound(X3,identity))),
inference(transitivity,[status(thm)],[c87,c88]) ).
cnf(c90,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)],[c15,c89]) ).
cnf(c91,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)],[c90]) ).
cnf(c92,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)],[c91]) ).
cnf(c93,plain,
$false,
inference(resolution,[status(thm)],[c1,c92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP184-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Sun Sep 27 09:36:19 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/0.49 Command-line arguments: --flatten --complete-subsets
% 0.86/0.49
% 0.86/0.49 % SZS status Unsatisfiable
% 0.86/0.49
% 0.86/0.49 % SZS output start CNFRefutation
% See solution above
% 0.86/0.52
% 0.86/0.52 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------