TSTP Solution File: NUM009-1 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n003.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 : Wed Mar 6 09:14:50 EST 2024
% Result : Unsatisfiable 14.63s 14.84s
% Output : Proof 14.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Mar 3 17:18:38 EST 2024
% 0.12/0.34 % CPUTime :
% 14.63/14.84 % SZS status Unsatisfiable for theBenchmark
% 14.63/14.84 % SZS output start Proof for theBenchmark
% 14.63/14.84
% 14.63/14.84 % Problem matrix:
% 14.63/14.84 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 14.63/14.84 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 14.63/14.84 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 14.63/14.84 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f1(__eqx_0, __eqx_1) = f1(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( non_ordered_pair(__eqx_0, __eqx_1) = non_ordered_pair(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( singleton_set(__eqx_0) = singleton_set(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ordered_pair(__eqx_0, __eqx_1) = ordered_pair(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( f2(__eqx_0) = f2(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( f3(__eqx_0) = f3(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( first(__eqx_0) = first(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f4(__eqx_0, __eqx_1) = f4(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f5(__eqx_0, __eqx_1) = f5(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( second(__eqx_0) = second(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f6(__eqx_0, __eqx_1) = f6(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f7(__eqx_0, __eqx_1) = f7(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( intersection(__eqx_0, __eqx_1) = intersection(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( complement(__eqx_0) = complement(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( union(__eqx_0, __eqx_1) = union(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( domain_of(__eqx_0) = domain_of(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f8(__eqx_0, __eqx_1) = f8(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cross_product(__eqx_0, __eqx_1) = cross_product(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( converse(__eqx_0) = converse(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( rotate_right(__eqx_0) = rotate_right(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f9(__eqx_0, __eqx_1) = f9(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f10(__eqx_0, __eqx_1) = f10(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f11(__eqx_0, __eqx_1) = f11(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( flip_range_of(__eqx_0) = flip_range_of(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f12(__eqx_0, __eqx_1) = f12(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f13(__eqx_0, __eqx_1) = f13(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f14(__eqx_0, __eqx_1) = f14(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( successor(__eqx_0) = successor(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( sigma(__eqx_0) = sigma(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f16(__eqx_0, __eqx_1) = f16(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f17(__eqx_0, __eqx_1) = f17(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( f18(__eqx_0) = f18(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( f19(__eqx_0) = f19(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( f20(__eqx_0) = f20(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( f21(__eqx_0) = f21(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image(__eqx_0, __eqx_1) = image(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( f22(__eqx_0, __eqx_1, __eqx_2) = f22(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.63/14.84 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f23(__eqx_0, __eqx_1) = f23(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( f24(__eqx_0) = f24(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( f26(__eqx_0) = f26(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( range_of(__eqx_0) = range_of(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f27(__eqx_0, __eqx_1) = f27(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( restrict(__eqx_0, __eqx_1) = restrict(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( apply(__eqx_0, __eqx_1) = apply(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( f28(__eqx_0, __eqx_1, __eqx_2) = f28(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.63/14.84 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( apply_to_two_arguments(__eqx_0, __eqx_1, __eqx_2) = apply_to_two_arguments(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.63/14.84 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( compose(__eqx_0, __eqx_1) = compose(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( f29(__eqx_0, __eqx_1, __eqx_2) = f29(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.63/14.84 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( f30(__eqx_0, __eqx_1, __eqx_2) = f30(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.63/14.84 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( f31(__eqx_0, __eqx_1, __eqx_2) = f31(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.63/14.84 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( f32(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = f32(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 14.63/14.84 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( f33(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = f33(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 14.63/14.84 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f34(__eqx_0, __eqx_1) = f34(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f35(__eqx_0, __eqx_1) = f35(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f36(__eqx_0, __eqx_1) = f36(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( f37(__eqx_0, __eqx_1, __eqx_2) = f37(__eqy_0, __eqy_1, __eqy_2)) )).
% 14.63/14.84 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( f38(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = f38(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 14.63/14.84 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f39(__eqx_0, __eqx_1) = f39(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f40(__eqx_0, __eqx_1) = f40(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f41(__eqx_0, __eqx_1) = f41(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f42(__eqx_0, __eqx_1) = f42(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f43(__eqx_0, __eqx_1) = f43(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( f44(__eqx_0) = f44(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f45(__eqx_0, __eqx_1) = f45(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f46(__eqx_0, __eqx_1) = f46(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f47(__eqx_0, __eqx_1) = f47(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f48(__eqx_0, __eqx_1) = f48(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( f49(__eqx_0) = f49(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f50(__eqx_0, __eqx_1) = f50(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f51(__eqx_0, __eqx_1) = f51(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f52(__eqx_0, __eqx_1) = f52(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f53(__eqx_0, __eqx_1) = f53(__eqy_0, __eqy_1)) )).
% 14.63/14.84 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( f54(__eqx_0) = f54(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( f55(__eqx_0) = f55(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( f56(__eqx_0) = f56(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( f57(__eqx_0) = f57(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( f58(__eqx_0) = f58(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( f59(__eqx_0) = f59(__eqy_0)) )).
% 14.63/14.84 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 14.63/14.84 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ~little_set(__eqx_0) | little_set(__eqy_0) )).
% 14.63/14.84 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ~ordered_pair_predicate(__eqx_0) | ordered_pair_predicate(__eqy_0) )).
% 14.63/14.84 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 14.63/14.84 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~proper_subset(__eqx_0, __eqx_1) | proper_subset(__eqy_0, __eqy_1) )).
% 14.63/14.84 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 14.63/14.84 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ~single_valued_set(__eqx_0) | single_valued_set(__eqy_0) )).
% 14.63/14.84 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 14.63/14.84 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~disjoint(__eqx_0, __eqx_1) | disjoint(__eqy_0, __eqy_1) )).
% 14.63/14.84 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ~one_to_one_function(__eqx_0) | one_to_one_function(__eqy_0) )).
% 14.63/14.84 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~maps(__eqx_0, __eqx_1, __eqx_2) | maps(__eqy_0, __eqy_1, __eqy_2) )).
% 14.63/14.84 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~closed(__eqx_0, __eqx_1) | closed(__eqy_0, __eqy_1) )).
% 14.63/14.84 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~homomorphism(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | homomorphism(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 14.63/14.84 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~associative(__eqx_0, __eqx_1) | associative(__eqy_0, __eqy_1) )).
% 14.63/14.84 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~identity(__eqx_0, __eqx_1, __eqx_2) | identity(__eqy_0, __eqy_1, __eqy_2) )).
% 14.63/14.84 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~inverse(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | inverse(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 14.63/14.84 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~group(__eqx_0, __eqx_1) | group(__eqy_0, __eqy_1) )).
% 14.63/14.84 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~commutes(__eqx_0, __eqx_1) | commutes(__eqy_0, __eqy_1) )).
% 14.63/14.84 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ~finite(__eqx_0) | finite(__eqy_0) )).
% 14.63/14.84 cnf(matrix-101, plain, ( ~member(X, Y) | little_set(X) )).
% 14.63/14.84 cnf(matrix-102, plain, ( little_set(f1(X, Y)) | ( X = Y) )).
% 14.63/14.84 cnf(matrix-103, plain, ( member(f1(X, Y), X) | member(f1(X, Y), Y) | ( X = Y) )).
% 14.63/14.84 cnf(matrix-104, plain, ( ~member(f1(X, Y), X) | ~member(f1(X, Y), Y) | ( X = Y) )).
% 14.63/14.84 cnf(matrix-105, plain, ( ~member(U, non_ordered_pair(X, Y)) | ( U = X) | ( U = Y) )).
% 14.63/14.84 cnf(matrix-106, plain, ( member(U, non_ordered_pair(X, Y)) | ~little_set(U) | ( U != X) )).
% 14.63/14.84 cnf(matrix-107, plain, ( member(U, non_ordered_pair(X, Y)) | ~little_set(U) | ( U != Y) )).
% 14.63/14.84 cnf(matrix-108, plain, ( little_set(non_ordered_pair(X, Y)) )).
% 14.63/14.84 cnf(matrix-109, plain, ( ( singleton_set(X) = non_ordered_pair(X, X)) )).
% 14.63/14.84 cnf(matrix-110, plain, ( ( ordered_pair(X, Y) = non_ordered_pair(singleton_set(X), non_ordered_pair(X, Y))) )).
% 14.63/14.84 cnf(matrix-111, plain, ( ~ordered_pair_predicate(X) | little_set(f2(X)) )).
% 14.63/14.84 cnf(matrix-112, plain, ( ~ordered_pair_predicate(X) | little_set(f3(X)) )).
% 14.63/14.84 cnf(matrix-113, plain, ( ~ordered_pair_predicate(X) | ( X = ordered_pair(f2(X), f3(X))) )).
% 14.63/14.84 cnf(matrix-114, plain, ( ordered_pair_predicate(X) | ~little_set(Y) | ~little_set(Z) | ( X != ordered_pair(Y, Z)) )).
% 14.63/14.84 cnf(matrix-115, plain, ( ~member(Z, first(X)) | little_set(f4(Z, X)) )).
% 14.63/14.84 cnf(matrix-116, plain, ( ~member(Z, first(X)) | little_set(f5(Z, X)) )).
% 14.63/14.84 cnf(matrix-117, plain, ( ~member(Z, first(X)) | ( X = ordered_pair(f4(Z, X), f5(Z, X))) )).
% 14.63/14.84 cnf(matrix-118, plain, ( ~member(Z, first(X)) | member(Z, f4(Z, X)) )).
% 14.63/14.84 cnf(matrix-119, plain, ( member(Z, first(X)) | ~little_set(U) | ~little_set(V) | ( X != ordered_pair(U, V)) | ~member(Z, U) )).
% 14.63/14.84 cnf(matrix-120, plain, ( ~member(Z, second(X)) | little_set(f6(Z, X)) )).
% 14.63/14.84 cnf(matrix-121, plain, ( ~member(Z, second(X)) | little_set(f7(Z, X)) )).
% 14.63/14.84 cnf(matrix-122, plain, ( ~member(Z, second(X)) | ( X = ordered_pair(f6(Z, X), f7(Z, X))) )).
% 14.63/14.84 cnf(matrix-123, plain, ( ~member(Z, second(X)) | member(Z, f7(Z, X)) )).
% 14.63/14.84 cnf(matrix-124, plain, ( member(Z, second(X)) | ~little_set(U) | ~little_set(V) | ( X != ordered_pair(U, V)) | ~member(Z, V) )).
% 14.63/14.84 cnf(matrix-125, plain, ( ~member(Z, estin) | ordered_pair_predicate(Z) )).
% 14.63/14.84 cnf(matrix-126, plain, ( ~member(Z, estin) | member(first(Z), second(Z)) )).
% 14.63/14.84 cnf(matrix-127, plain, ( member(Z, estin) | ~little_set(Z) | ~ordered_pair_predicate(Z) | ~member(first(Z), second(Z)) )).
% 14.63/14.84 cnf(matrix-128, plain, ( ~member(Z, intersection(X, Y)) | member(Z, X) )).
% 14.63/14.84 cnf(matrix-129, plain, ( ~member(Z, intersection(X, Y)) | member(Z, Y) )).
% 14.63/14.84 cnf(matrix-130, plain, ( member(Z, intersection(X, Y)) | ~member(Z, X) | ~member(Z, Y) )).
% 14.63/14.84 cnf(matrix-131, plain, ( ~member(Z, complement(X)) | ~member(Z, X) )).
% 14.63/14.84 cnf(matrix-132, plain, ( member(Z, complement(X)) | ~little_set(Z) | member(Z, X) )).
% 14.63/14.84 cnf(matrix-133, plain, ( ( union(X, Y) = complement(intersection(complement(X), complement(Y)))) )).
% 14.63/14.84 cnf(matrix-134, plain, ( ~member(Z, domain_of(X)) | ordered_pair_predicate(f8(Z, X)) )).
% 14.63/14.84 cnf(matrix-135, plain, ( ~member(Z, domain_of(X)) | member(f8(Z, X), X) )).
% 14.63/14.84 cnf(matrix-136, plain, ( ~member(Z, domain_of(X)) | ( Z = first(f8(Z, X))) )).
% 14.63/14.84 cnf(matrix-137, plain, ( member(Z, domain_of(X)) | ~little_set(Z) | ~ordered_pair_predicate(Xp) | ~member(Xp, X) | ( Z != first(Xp)) )).
% 14.63/14.84 cnf(matrix-138, plain, ( ~member(Z, cross_product(X, Y)) | ordered_pair_predicate(Z) )).
% 14.63/14.84 cnf(matrix-139, plain, ( ~member(Z, cross_product(X, Y)) | member(first(Z), X) )).
% 14.63/14.84 cnf(matrix-140, plain, ( ~member(Z, cross_product(X, Y)) | member(second(Z), Y) )).
% 14.63/14.84 cnf(matrix-141, plain, ( member(Z, cross_product(X, Y)) | ~little_set(Z) | ~ordered_pair_predicate(Z) | ~member(first(Z), X) | ~member(second(Z), Y) )).
% 14.63/14.84 cnf(matrix-142, plain, ( ~member(Z, converse(X)) | ordered_pair_predicate(Z) )).
% 14.63/14.84 cnf(matrix-143, plain, ( ~member(Z, converse(X)) | member(ordered_pair(second(Z), first(Z)), X) )).
% 14.63/14.84 cnf(matrix-144, plain, ( member(Z, converse(X)) | ~little_set(Z) | ~ordered_pair_predicate(Z) | ~member(ordered_pair(second(Z), first(Z)), X) )).
% 14.63/14.84 cnf(matrix-145, plain, ( ~member(Z, rotate_right(X)) | little_set(f9(Z, X)) )).
% 14.63/14.84 cnf(matrix-146, plain, ( ~member(Z, rotate_right(X)) | little_set(f10(Z, X)) )).
% 14.63/14.84 cnf(matrix-147, plain, ( ~member(Z, rotate_right(X)) | little_set(f11(Z, X)) )).
% 14.63/14.84 cnf(matrix-148, plain, ( ~member(Z, rotate_right(X)) | ( Z = ordered_pair(f9(Z, X), ordered_pair(f10(Z, X), f11(Z, X)))) )).
% 14.63/14.84 cnf(matrix-149, plain, ( ~member(Z, rotate_right(X)) | member(ordered_pair(f10(Z, X), ordered_pair(f11(Z, X), f9(Z, X))), X) )).
% 14.63/14.84 cnf(matrix-150, plain, ( member(Z, rotate_right(X)) | ~little_set(Z) | ~little_set(U) | ~little_set(V) | ~little_set(W) | ( Z != ordered_pair(U, ordered_pair(V, W))) | ~member(ordered_pair(V, ordered_pair(W, U)), X) )).
% 14.63/14.84 cnf(matrix-151, plain, ( ~member(Z, flip_range_of(X)) | little_set(f12(Z, X)) )).
% 14.63/14.84 cnf(matrix-152, plain, ( ~member(Z, flip_range_of(X)) | little_set(f13(Z, X)) )).
% 14.63/14.84 cnf(matrix-153, plain, ( ~member(Z, flip_range_of(X)) | little_set(f14(Z, X)) )).
% 14.63/14.84 cnf(matrix-154, plain, ( ~member(Z, flip_range_of(X)) | ( Z = ordered_pair(f12(Z, X), ordered_pair(f13(Z, X), f14(Z, X)))) )).
% 14.63/14.84 cnf(matrix-155, plain, ( ~member(Z, flip_range_of(X)) | member(ordered_pair(f12(Z, X), ordered_pair(f14(Z, X), f13(Z, X))), X) )).
% 14.63/14.84 cnf(matrix-156, plain, ( member(Z, flip_range_of(X)) | ~little_set(Z) | ~little_set(U) | ~little_set(V) | ~little_set(W) | ( Z != ordered_pair(U, ordered_pair(V, W))) | ~member(ordered_pair(U, ordered_pair(W, V)), X) )).
% 14.63/14.84 cnf(matrix-157, plain, ( ( successor(X) = union(X, singleton_set(X))) )).
% 14.63/14.84 cnf(matrix-158, plain, ( ~member(Z, empty_set) )).
% 14.63/14.84 cnf(matrix-159, plain, ( member(Z, universal_set) | ~little_set(Z) )).
% 14.63/14.84 cnf(matrix-160, plain, ( little_set(infinity) )).
% 14.63/14.84 cnf(matrix-161, plain, ( member(empty_set, infinity) )).
% 14.63/14.84 cnf(matrix-162, plain, ( ~member(X, infinity) | member(successor(X), infinity) )).
% 14.63/14.84 cnf(matrix-163, plain, ( ~member(Z, sigma(X)) | member(f16(Z, X), X) )).
% 14.63/14.84 cnf(matrix-164, plain, ( ~member(Z, sigma(X)) | member(Z, f16(Z, X)) )).
% 14.63/14.84 cnf(matrix-165, plain, ( member(Z, sigma(X)) | ~member(Y, X) | ~member(Z, Y) )).
% 14.63/14.84 cnf(matrix-166, plain, ( ~little_set(U) | little_set(sigma(U)) )).
% 14.63/14.84 cnf(matrix-167, plain, ( ~subset(X, Y) | ~member(U, X) | member(U, Y) )).
% 14.63/14.84 cnf(matrix-168, plain, ( subset(X, Y) | member(f17(X, Y), X) )).
% 14.63/14.84 cnf(matrix-169, plain, ( subset(X, Y) | ~member(f17(X, Y), Y) )).
% 14.63/14.84 cnf(matrix-170, plain, ( ~proper_subset(X, Y) | subset(X, Y) )).
% 14.63/14.84 cnf(matrix-171, plain, ( ~proper_subset(X, Y) | ( X != Y) )).
% 14.63/14.84 cnf(matrix-172, plain, ( proper_subset(X, Y) | ~subset(X, Y) | ( X = Y) )).
% 14.63/14.84 cnf(matrix-173, plain, ( ~member(Z, powerset(X)) | subset(Z, X) )).
% 14.63/14.84 cnf(matrix-174, plain, ( member(Z, powerset(X)) | ~little_set(Z) | ~subset(Z, X) )).
% 14.63/14.84 cnf(matrix-175, plain, ( ~little_set(U) | little_set(powerset(U)) )).
% 14.63/14.84 cnf(matrix-176, plain, ( ~relation(Z) | ~member(X, Z) | ordered_pair_predicate(X) )).
% 14.63/14.84 cnf(matrix-177, plain, ( relation(Z) | member(f18(Z), Z) )).
% 14.63/14.84 cnf(matrix-178, plain, ( relation(Z) | ~ordered_pair_predicate(f18(Z)) )).
% 14.63/14.84 cnf(matrix-179, plain, ( ~single_valued_set(X) | ~little_set(U) | ~little_set(V) | ~little_set(W) | ~member(ordered_pair(U, V), X) | ~member(ordered_pair(U, W), X) | ( V = W) )).
% 14.63/14.84 cnf(matrix-180, plain, ( single_valued_set(X) | little_set(f19(X)) )).
% 14.63/14.84 cnf(matrix-181, plain, ( single_valued_set(X) | little_set(f20(X)) )).
% 14.63/14.84 cnf(matrix-182, plain, ( single_valued_set(X) | little_set(f21(X)) )).
% 14.63/14.84 cnf(matrix-183, plain, ( single_valued_set(X) | member(ordered_pair(f19(X), f20(X)), X) )).
% 14.63/14.84 cnf(matrix-184, plain, ( single_valued_set(X) | member(ordered_pair(f19(X), f21(X)), X) )).
% 14.63/14.84 cnf(matrix-185, plain, ( single_valued_set(X) | ( f20(X) != f21(X)) )).
% 14.63/14.84 cnf(matrix-186, plain, ( ~function(Xf) | relation(Xf) )).
% 14.63/14.84 cnf(matrix-187, plain, ( ~function(Xf) | single_valued_set(Xf) )).
% 14.63/14.84 cnf(matrix-188, plain, ( function(Xf) | ~relation(Xf) | ~single_valued_set(Xf) )).
% 14.63/14.84 cnf(matrix-189, plain, ( ~member(Z, image(X, Xf)) | ordered_pair_predicate(f22(Z, X, Xf)) )).
% 14.63/14.84 cnf(matrix-190, plain, ( ~member(Z, image(X, Xf)) | member(f22(Z, X, Xf), Xf) )).
% 14.63/14.84 cnf(matrix-191, plain, ( ~member(Z, image(X, Xf)) | member(first(f22(Z, X, Xf)), X) )).
% 14.63/14.84 cnf(matrix-192, plain, ( ~member(Z, image(X, Xf)) | ( second(f22(Z, X, Xf)) = Z) )).
% 14.63/14.84 cnf(matrix-193, plain, ( member(Z, image(X, Xf)) | ~little_set(Z) | ~ordered_pair_predicate(Y) | ~member(Y, Xf) | ~member(first(Y), X) | ( second(Y) != Z) )).
% 14.63/14.84 cnf(matrix-194, plain, ( ~little_set(X) | ~function(Xf) | little_set(image(X, Xf)) )).
% 14.63/14.84 cnf(matrix-195, plain, ( ~disjoint(X, Y) | ~member(U, X) | ~member(U, Y) )).
% 14.63/14.84 cnf(matrix-196, plain, ( disjoint(X, Y) | member(f23(X, Y), X) )).
% 14.63/14.84 cnf(matrix-197, plain, ( disjoint(X, Y) | member(f23(X, Y), Y) )).
% 14.63/14.84 cnf(matrix-198, plain, ( ( X = empty_set) | member(f24(X), X) )).
% 14.63/14.84 cnf(matrix-199, plain, ( ( X = empty_set) | disjoint(f24(X), X) )).
% 14.63/14.84 cnf(matrix-200, plain, ( function(f25) )).
% 14.63/14.84 cnf(matrix-201, plain, ( ~little_set(X) | ( X = empty_set) | member(f26(X), X) )).
% 14.63/14.84 cnf(matrix-202, plain, ( ~little_set(X) | ( X = empty_set) | member(ordered_pair(X, f26(X)), f25) )).
% 14.63/14.84 cnf(matrix-203, plain, ( ~member(Z, range_of(X)) | ordered_pair_predicate(f27(Z, X)) )).
% 14.63/14.84 cnf(matrix-204, plain, ( ~member(Z, range_of(X)) | member(f27(Z, X), X) )).
% 14.63/14.84 cnf(matrix-205, plain, ( ~member(Z, range_of(X)) | ( Z = second(f27(Z, X))) )).
% 14.63/14.84 cnf(matrix-206, plain, ( member(Z, range_of(X)) | ~little_set(Z) | ~ordered_pair_predicate(Xp) | ~member(Xp, X) | ( Z != second(Xp)) )).
% 14.63/14.84 cnf(matrix-207, plain, ( ~member(Z, identity_relation) | ordered_pair_predicate(Z) )).
% 14.63/14.84 cnf(matrix-208, plain, ( ~member(Z, identity_relation) | ( first(Z) = second(Z)) )).
% 14.63/14.84 cnf(matrix-209, plain, ( member(Z, identity_relation) | ~little_set(Z) | ~ordered_pair_predicate(Z) | ( first(Z) != second(Z)) )).
% 14.63/14.84 cnf(matrix-210, plain, ( ( restrict(X, Y) = intersection(X, cross_product(Y, universal_set))) )).
% 14.63/14.84 cnf(matrix-211, plain, ( ~one_to_one_function(Xf) | function(Xf) )).
% 14.63/14.84 cnf(matrix-212, plain, ( ~one_to_one_function(Xf) | function(converse(Xf)) )).
% 14.63/14.84 cnf(matrix-213, plain, ( one_to_one_function(Xf) | ~function(Xf) | ~function(converse(Xf)) )).
% 14.63/14.84 cnf(matrix-214, plain, ( ~member(Z, apply(Xf, Y)) | ordered_pair_predicate(f28(Z, Xf, Y)) )).
% 14.63/14.84 cnf(matrix-215, plain, ( ~member(Z, apply(Xf, Y)) | member(f28(Z, Xf, Y), Xf) )).
% 14.63/14.84 cnf(matrix-216, plain, ( ~member(Z, apply(Xf, Y)) | ( first(f28(Z, Xf, Y)) = Y) )).
% 14.63/14.84 cnf(matrix-217, plain, ( ~member(Z, apply(Xf, Y)) | member(Z, second(f28(Z, Xf, Y))) )).
% 14.63/14.84 cnf(matrix-218, plain, ( member(Z, apply(Xf, Y)) | ~ordered_pair_predicate(W) | ~member(W, Xf) | ( first(W) != Y) | ~member(Z, second(W)) )).
% 14.63/14.84 cnf(matrix-219, plain, ( ( apply_to_two_arguments(Xf, X, Y) = apply(Xf, ordered_pair(X, Y))) )).
% 14.63/14.84 cnf(matrix-220, plain, ( ~maps(Xf, X, Y) | function(Xf) )).
% 14.63/14.84 cnf(matrix-221, plain, ( ~maps(Xf, X, Y) | ( domain_of(Xf) = X) )).
% 14.63/14.84 cnf(matrix-222, plain, ( ~maps(Xf, X, Y) | subset(range_of(Xf), Y) )).
% 14.63/14.84 cnf(matrix-223, plain, ( maps(Xf, X, Y) | ~function(Xf) | ( domain_of(Xf) != X) | ~subset(range_of(Xf), Y) )).
% 14.63/14.84 cnf(matrix-224, plain, ( ~closed(Xs, Xf) | little_set(Xs) )).
% 14.63/14.84 cnf(matrix-225, plain, ( ~closed(Xs, Xf) | little_set(Xf) )).
% 14.63/14.84 cnf(matrix-226, plain, ( ~closed(Xs, Xf) | maps(Xf, cross_product(Xs, Xs), Xs) )).
% 14.63/14.84 cnf(matrix-227, plain, ( closed(Xs, Xf) | ~little_set(Xs) | ~little_set(Xf) | ~maps(Xf, cross_product(Xs, Xs), Xs) )).
% 14.63/14.84 cnf(matrix-228, plain, ( ~member(Z, compose(Xf, Xg)) | little_set(f29(Z, Xf, Xg)) )).
% 14.63/14.84 cnf(matrix-229, plain, ( ~member(Z, compose(Xf, Xg)) | little_set(f30(Z, Xf, Xg)) )).
% 14.63/14.84 cnf(matrix-230, plain, ( ~member(Z, compose(Xf, Xg)) | little_set(f31(Z, Xf, Xg)) )).
% 14.63/14.84 cnf(matrix-231, plain, ( ~member(Z, compose(Xf, Xg)) | ( Z = ordered_pair(f29(Z, Xf, Xg), f30(Z, Xf, Xg))) )).
% 14.63/14.84 cnf(matrix-232, plain, ( ~member(Z, compose(Xf, Xg)) | member(ordered_pair(f29(Z, Xf, Xg), f31(Z, Xf, Xg)), Xf) )).
% 14.63/14.84 cnf(matrix-233, plain, ( ~member(Z, compose(Xf, Xg)) | member(ordered_pair(f31(Z, Xf, Xg), f30(Z, Xf, Xg)), Xg) )).
% 14.63/14.84 cnf(matrix-234, plain, ( member(Z, compose(Xf, Xg)) | ~little_set(Z) | ~little_set(X) | ~little_set(Y) | ~little_set(W) | ( Z != ordered_pair(X, Y)) | ~member(ordered_pair(X, W), Xf) | ~member(ordered_pair(W, Y), Xg) )).
% 14.63/14.84 cnf(matrix-235, plain, ( ~homomorphism(Xh, Xs1, Xf1, Xs2, Xf2) | closed(Xs1, Xf1) )).
% 14.63/14.84 cnf(matrix-236, plain, ( ~homomorphism(Xh, Xs1, Xf1, Xs2, Xf2) | closed(Xs2, Xf2) )).
% 14.63/14.84 cnf(matrix-237, plain, ( ~homomorphism(Xh, Xs1, Xf1, Xs2, Xf2) | maps(Xh, Xs1, Xs2) )).
% 14.63/14.84 cnf(matrix-238, plain, ( ~homomorphism(Xh, Xs1, Xf1, Xs2, Xf2) | ~member(X, Xs1) | ~member(Y, Xs1) | ( apply(Xh, apply_to_two_arguments(Xf1, X, Y)) = apply_to_two_arguments(Xf2, apply(Xh, X), apply(Xh, Y))) )).
% 14.63/14.84 cnf(matrix-239, plain, ( homomorphism(Xh, Xs1, Xf1, Xs2, Xf2) | ~closed(Xs1, Xf1) | ~closed(Xs2, Xf2) | ~maps(Xh, Xs1, Xs2) | member(f32(Xh, Xs1, Xf1, Xs2, Xf2), Xs1) )).
% 14.63/14.84 cnf(matrix-240, plain, ( homomorphism(Xh, Xs1, Xf1, Xs2, Xf2) | ~closed(Xs1, Xf1) | ~closed(Xs2, Xf2) | ~maps(Xh, Xs1, Xs2) | member(f33(Xh, Xs1, Xf1, Xs2, Xf2), Xs1) )).
% 14.63/14.84 cnf(matrix-241, plain, ( homomorphism(Xh, Xs1, Xf1, Xs2, Xf2) | ~closed(Xs1, Xf1) | ~closed(Xs2, Xf2) | ~maps(Xh, Xs1, Xs2) | ( apply(Xh, apply_to_two_arguments(Xf1, f32(Xh, Xs1, Xf1, Xs2, Xf2), f33(Xh, Xs1, Xf1, Xs2, Xf2))) != apply_to_two_arguments(Xf2, apply(Xh, f32(Xh, Xs1, Xf1, Xs2, Xf2)), apply(Xh, f33(Xh, Xs1, Xf1, Xs2, Xf2)))) )).
% 14.63/14.84 cnf(matrix-242, plain, ( ~associative(Xs, Xf) | ~member(X, Xs) | ~member(Y, Xs) | ~member(Z, Xs) | ( apply_to_two_arguments(Xf, apply_to_two_arguments(Xf, X, Y), Z) = apply_to_two_arguments(Xf, X, apply_to_two_arguments(Xf, Y, Z))) )).
% 14.63/14.84 cnf(matrix-243, plain, ( associative(Xs, Xf) | member(f34(Xs, Xf), Xs) )).
% 14.63/14.84 cnf(matrix-244, plain, ( associative(Xs, Xf) | member(f35(Xs, Xf), Xs) )).
% 14.63/14.84 cnf(matrix-245, plain, ( associative(Xs, Xf) | member(f36(Xs, Xf), Xs) )).
% 14.63/14.84 cnf(matrix-246, plain, ( associative(Xs, Xf) | ( apply_to_two_arguments(Xf, apply_to_two_arguments(Xf, f34(Xs, Xf), f35(Xs, Xf)), f36(Xs, Xf)) != apply_to_two_arguments(Xf, f34(Xs, Xf), apply_to_two_arguments(Xf, f35(Xs, Xf), f36(Xs, Xf)))) )).
% 14.63/14.84 cnf(matrix-247, plain, ( ~identity(Xs, Xf, Xe) | member(Xe, Xs) )).
% 14.63/14.84 cnf(matrix-248, plain, ( ~identity(Xs, Xf, Xe) | ~member(X, Xs) | ( apply_to_two_arguments(Xf, Xe, X) = X) )).
% 14.63/14.84 cnf(matrix-249, plain, ( ~identity(Xs, Xf, Xe) | ~member(X, Xs) | ( apply_to_two_arguments(Xf, X, Xe) = X) )).
% 14.63/14.84 cnf(matrix-250, plain, ( identity(Xs, Xf, Xe) | ~member(Xe, Xs) | member(f37(Xs, Xf, Xe), Xs) )).
% 14.63/14.84 cnf(matrix-251, plain, ( identity(Xs, Xf, Xe) | ~member(Xe, Xs) | ( apply_to_two_arguments(Xf, Xe, f37(Xs, Xf, Xe)) != f37(Xs, Xf, Xe)) | ( apply_to_two_arguments(Xf, f37(Xs, Xf, Xe), Xe) != f37(Xs, Xf, Xe)) )).
% 14.63/14.84 cnf(matrix-252, plain, ( ~inverse(Xs, Xf, Xe, Xg) | maps(Xg, Xs, Xs) )).
% 14.63/14.84 cnf(matrix-253, plain, ( ~inverse(Xs, Xf, Xe, Xg) | ~member(X, Xs) | ( apply_to_two_arguments(Xf, apply(Xg, X), X) = Xe) )).
% 14.63/14.84 cnf(matrix-254, plain, ( ~inverse(Xs, Xf, Xe, Xg) | ~member(X, Xs) | ( apply_to_two_arguments(Xf, X, apply(Xg, X)) = Xe) )).
% 14.63/14.84 cnf(matrix-255, plain, ( inverse(Xs, Xf, Xe, Xg) | ~maps(Xg, Xs, Xs) | member(f38(Xs, Xf, Xe, Xg), Xs) )).
% 14.63/14.84 cnf(matrix-256, plain, ( inverse(Xs, Xf, Xe, Xg) | ~maps(Xg, Xs, Xs) | ( apply_to_two_arguments(Xf, apply(Xg, f38(Xs, Xf, Xe, Xg)), f38(Xs, Xf, Xe, Xg)) != Xe) | ( apply_to_two_arguments(Xf, f38(Xs, Xf, Xe, Xg), apply(Xg, f38(Xs, Xf, Xe, Xg))) != Xe) )).
% 14.63/14.84 cnf(matrix-257, plain, ( ~group(Xs, Xf) | closed(Xs, Xf) )).
% 14.63/14.84 cnf(matrix-258, plain, ( ~group(Xs, Xf) | associative(Xs, Xf) )).
% 14.63/14.84 cnf(matrix-259, plain, ( ~group(Xs, Xf) | identity(Xs, Xf, f39(Xs, Xf)) )).
% 14.63/14.84 cnf(matrix-260, plain, ( ~group(Xs, Xf) | inverse(Xs, Xf, f39(Xs, Xf), f40(Xs, Xf)) )).
% 14.63/14.84 cnf(matrix-261, plain, ( group(Xs, Xf) | ~closed(Xs, Xf) | ~associative(Xs, Xf) | ~identity(Xs, Xf, Xe) | ~inverse(Xs, Xf, Xe, Xg) )).
% 14.63/14.84 cnf(matrix-262, plain, ( ~commutes(Xs, Xf) | ~member(X, Xs) | ~member(Y, Xs) | ( apply_to_two_arguments(Xf, X, Y) = apply_to_two_arguments(Xf, Y, X)) )).
% 14.63/14.84 cnf(matrix-263, plain, ( commutes(Xs, Xf) | member(f41(Xs, Xf), Xs) )).
% 14.63/14.84 cnf(matrix-264, plain, ( commutes(Xs, Xf) | member(f42(Xs, Xf), Xs) )).
% 14.63/14.84 cnf(matrix-265, plain, ( commutes(Xs, Xf) | ( apply_to_two_arguments(Xf, f41(Xs, Xf), f42(Xs, Xf)) != apply_to_two_arguments(Xf, f42(Xs, Xf), f41(Xs, Xf))) )).
% 14.63/14.84 cnf(matrix-266, plain, ( ~member(Z, natural_numbers) | ~little_set(Xs) | ~member(empty_set, Xs) | member(f43(Z, Xs), Xs) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-267, plain, ( ~member(Z, natural_numbers) | ~little_set(Xs) | ~member(empty_set, Xs) | ~member(successor(f43(Z, Xs)), Xs) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-268, plain, ( member(Z, natural_numbers) | ~little_set(Z) | little_set(f44(Z)) )).
% 14.63/14.84 cnf(matrix-269, plain, ( member(Z, natural_numbers) | ~little_set(Z) | member(empty_set, f44(Z)) )).
% 14.63/14.84 cnf(matrix-270, plain, ( member(Z, natural_numbers) | ~little_set(Z) | ~member(Xk, f44(Z)) | member(successor(Xk), f44(Z)) )).
% 14.63/14.84 cnf(matrix-271, plain, ( member(Z, natural_numbers) | ~member(Z, f44(Z)) )).
% 14.63/14.84 cnf(matrix-272, plain, ( ~member(Z, plus) | ~little_set(Xs) | member(f45(Z, Xs), natural_numbers) | member(f46(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-273, plain, ( ~member(Z, plus) | ~little_set(Xs) | member(f45(Z, Xs), natural_numbers) | member(f47(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-274, plain, ( ~member(Z, plus) | ~little_set(Xs) | member(f45(Z, Xs), natural_numbers) | member(f48(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-275, plain, ( ~member(Z, plus) | ~little_set(Xs) | member(f45(Z, Xs), natural_numbers) | member(ordered_pair(ordered_pair(f46(Z, Xs), f47(Z, Xs)), f48(Z, Xs)), Xs) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-276, plain, ( ~member(Z, plus) | ~little_set(Xs) | member(f45(Z, Xs), natural_numbers) | ~member(ordered_pair(ordered_pair(successor(f46(Z, Xs)), f47(Z, Xs)), successor(f48(Z, Xs))), Xs) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-277, plain, ( ~member(Z, plus) | ~little_set(Xs) | ~member(ordered_pair(ordered_pair(empty_set, f45(Z, Xs)), f45(Z, Xs)), Xs) | member(f46(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-278, plain, ( ~member(Z, plus) | ~little_set(Xs) | ~member(ordered_pair(ordered_pair(empty_set, f45(Z, Xs)), f45(Z, Xs)), Xs) | member(f47(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-279, plain, ( ~member(Z, plus) | ~little_set(Xs) | ~member(ordered_pair(ordered_pair(empty_set, f45(Z, Xs)), f45(Z, Xs)), Xs) | member(f48(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-280, plain, ( ~member(Z, plus) | ~little_set(Xs) | ~member(ordered_pair(ordered_pair(empty_set, f45(Z, Xs)), f45(Z, Xs)), Xs) | member(ordered_pair(ordered_pair(f46(Z, Xs), f47(Z, Xs)), f48(Z, Xs)), Xs) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-281, plain, ( ~member(Z, plus) | ~little_set(Xs) | ~member(ordered_pair(ordered_pair(empty_set, f45(Z, Xs)), f45(Z, Xs)), Xs) | ~member(ordered_pair(ordered_pair(successor(f46(Z, Xs)), f47(Z, Xs)), successor(f48(Z, Xs))), Xs) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-282, plain, ( member(Z, plus) | ~little_set(Z) | little_set(f49(Z)) )).
% 14.63/14.84 cnf(matrix-283, plain, ( member(Z, plus) | ~little_set(Z) | ~member(Xi, natural_numbers) | member(ordered_pair(ordered_pair(empty_set, Xi), Xi), f49(Z)) )).
% 14.63/14.84 cnf(matrix-284, plain, ( member(Z, plus) | ~little_set(Z) | ~member(Uu1, natural_numbers) | ~member(Xj, natural_numbers) | ~member(Xk, natural_numbers) | ~member(ordered_pair(ordered_pair(Uu1, Xj), Xk), f49(Z)) | member(ordered_pair(ordered_pair(successor(Uu1), Xj), successor(Xk)), f49(Z)) )).
% 14.63/14.84 cnf(matrix-285, plain, ( member(Z, plus) | ~member(Z, f49(Z)) )).
% 14.63/14.84 cnf(matrix-286, plain, ( ~member(Z, times) | ~little_set(Xs) | member(f50(Z, Xs), natural_numbers) | member(f51(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-287, plain, ( ~member(Z, times) | ~little_set(Xs) | member(f50(Z, Xs), natural_numbers) | member(f52(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-288, plain, ( ~member(Z, times) | ~little_set(Xs) | member(f50(Z, Xs), natural_numbers) | member(f53(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-289, plain, ( ~member(Z, times) | ~little_set(Xs) | member(f50(Z, Xs), natural_numbers) | member(ordered_pair(ordered_pair(f51(Z, Xs), f52(Z, Xs)), f53(Z, Xs)), Xs) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-290, plain, ( ~member(Z, times) | ~little_set(Xs) | member(f50(Z, Xs), natural_numbers) | ~member(ordered_pair(ordered_pair(successor(f51(Z, Xs)), f52(Z, Xs)), apply_to_two_arguments(plus, f53(Z, Xs), f52(Z, Xs))), Xs) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-291, plain, ( ~member(Z, times) | ~little_set(Xs) | ~member(ordered_pair(ordered_pair(empty_set, f50(Z, Xs)), empty_set), Xs) | member(f51(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-292, plain, ( ~member(Z, times) | ~little_set(Xs) | ~member(ordered_pair(ordered_pair(empty_set, f50(Z, Xs)), empty_set), Xs) | member(f52(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-293, plain, ( ~member(Z, times) | ~little_set(Xs) | ~member(ordered_pair(ordered_pair(empty_set, f50(Z, Xs)), empty_set), Xs) | member(f53(Z, Xs), natural_numbers) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-294, plain, ( ~member(Z, times) | ~little_set(Xs) | ~member(ordered_pair(ordered_pair(empty_set, f50(Z, Xs)), empty_set), Xs) | member(ordered_pair(ordered_pair(f51(Z, Xs), f52(Z, Xs)), f53(Z, Xs)), Xs) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-295, plain, ( ~member(Z, times) | ~little_set(Xs) | ~member(ordered_pair(ordered_pair(empty_set, f50(Z, Xs)), empty_set), Xs) | ~member(ordered_pair(ordered_pair(successor(f51(Z, Xs)), f52(Z, Xs)), apply_to_two_arguments(plus, f53(Z, Xs), f52(Z, Xs))), Xs) | member(Z, Xs) )).
% 14.63/14.84 cnf(matrix-296, plain, ( member(Z, times) | ~little_set(Z) | little_set(f54(Z)) )).
% 14.63/14.84 cnf(matrix-297, plain, ( member(Z, times) | ~little_set(Z) | ~member(Xi, natural_numbers) | member(ordered_pair(ordered_pair(empty_set, Xi), empty_set), f54(Z)) )).
% 14.63/14.84 cnf(matrix-298, plain, ( member(Z, times) | ~little_set(Z) | ~member(Uu2, natural_numbers) | ~member(Xj, natural_numbers) | ~member(Xk, natural_numbers) | ~member(ordered_pair(ordered_pair(Uu2, Xj), Xk), f54(Z)) | member(ordered_pair(ordered_pair(successor(Uu2), Xj), apply_to_two_arguments(plus, Xk, Xj)), f54(Z)) )).
% 14.63/14.84 cnf(matrix-299, plain, ( member(Z, times) | ~member(Z, f54(Z)) )).
% 14.63/14.84 cnf(matrix-300, plain, ( ~member(Z, prime_numbers) | member(Z, natural_numbers) )).
% 14.63/14.84 cnf(matrix-301, plain, ( ~member(Z, prime_numbers) | ( Z != empty_set) )).
% 14.63/14.84 cnf(matrix-302, plain, ( ~member(Z, prime_numbers) | ( Z != successor(empty_set)) )).
% 14.63/14.84 cnf(matrix-303, plain, ( ~member(Z, prime_numbers) | ~member(U, natural_numbers) | ~member(V, natural_numbers) | ( apply_to_two_arguments(times, U, V) != Z) | member(U, non_ordered_pair(successor(empty_set), Z)) )).
% 14.63/14.84 cnf(matrix-304, plain, ( member(Z, prime_numbers) | ~member(Z, natural_numbers) | ( Z = empty_set) | ( Z = successor(empty_set)) | member(f55(Z), natural_numbers) )).
% 14.63/14.84 cnf(matrix-305, plain, ( member(Z, prime_numbers) | ~member(Z, natural_numbers) | ( Z = empty_set) | ( Z = successor(empty_set)) | member(f56(Z), natural_numbers) )).
% 14.63/14.84 cnf(matrix-306, plain, ( member(Z, prime_numbers) | ~member(Z, natural_numbers) | ( Z = empty_set) | ( Z = successor(empty_set)) | ( apply_to_two_arguments(times, f55(Z), f56(Z)) = Z) )).
% 14.63/14.84 cnf(matrix-307, plain, ( member(Z, prime_numbers) | ~member(Z, natural_numbers) | ( Z = empty_set) | ( Z = successor(empty_set)) | ~member(f55(Z), non_ordered_pair(successor(empty_set), Z)) )).
% 14.63/14.84 cnf(matrix-308, plain, ( ~finite(X) | member(f57(X), natural_numbers) )).
% 14.63/14.84 cnf(matrix-309, plain, ( ~finite(X) | maps(f58(X), f57(X), X) )).
% 14.63/14.84 cnf(matrix-310, plain, ( ~finite(X) | ( range_of(f58(X)) = X) )).
% 14.63/14.84 cnf(matrix-311, plain, ( ~finite(X) | one_to_one_function(f58(X)) )).
% 14.63/14.84 cnf(matrix-312, plain, ( finite(X) | ~member(Xn, natural_numbers) | ~maps(Xf, Xn, X) | ( range_of(Xf) != X) | ~one_to_one_function(Xf) )).
% 14.63/14.84 cnf(matrix-313, plain, ( ~member(Z, twin_prime_numbers) | member(Z, prime_numbers) )).
% 14.63/14.84 cnf(matrix-314, plain, ( ~member(Z, twin_prime_numbers) | member(successor(successor(Z)), prime_numbers) )).
% 14.63/14.84 cnf(matrix-315, plain, ( member(Z, twin_prime_numbers) | ~member(Z, prime_numbers) | ~member(successor(successor(Z)), prime_numbers) )).
% 14.63/14.84 cnf(matrix-316, plain, ( ~member(Z, even_numbers) | member(Z, natural_numbers) )).
% 14.63/14.84 cnf(matrix-317, plain, ( ~member(Z, even_numbers) | member(f59(Z), natural_numbers) )).
% 14.63/14.84 cnf(matrix-318, plain, ( ~member(Z, even_numbers) | ( apply_to_two_arguments(plus, f59(Z), f59(Z)) = Z) )).
% 14.63/14.84 cnf(matrix-319, plain, ( member(Z, even_numbers) | ~member(Z, natural_numbers) | ~member(X, natural_numbers) | ( apply_to_two_arguments(plus, X, X) != Z) )).
% 14.63/14.84 cnf(matrix-320, plain, ( ~member(empty_set, natural_numbers) )).
% 14.63/14.84
% 14.63/14.84 % Proof stack:
% 14.63/14.84 cnf(proof-stack, plain,
% 14.63/14.84 proof_stack(
% 14.63/14.84 start(320),
% 14.63/14.84 left_branch(0, 269, 0, 2),
% 14.63/14.84 left_branch(0, 271, 1, 3),
% 14.63/14.84 reduction(0, 0),
% 14.63/14.84 right_branch(3),
% 14.63/14.84 left_branch(0, 101, 1, 4),
% 14.63/14.84 left_branch(0, 161, 0, 5),
% 14.63/14.84 right_branch(5),
% 14.63/14.84 right_branch(4),
% 14.63/14.84 right_branch(2)
% 14.63/14.84 )).
% 14.63/14.84 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------