TSTP Solution File: COL003-18 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : COL003-18 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n009.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 : Mon Mar 25 14:01:22 EDT 2024
% Result : Unsatisfiable 69.20s 69.39s
% Output : Proof 69.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL003-18 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n009.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 : Thu Mar 21 00:13:14 EDT 2024
% 0.12/0.33 % CPUTime :
% 69.20/69.39 % SZS status Unsatisfiable for theBenchmark
% 69.20/69.39 % SZS output start Proof for theBenchmark
% 69.20/69.39
% 69.20/69.39 % Problem matrix:
% 69.20/69.39 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 69.20/69.39 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 69.20/69.39 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 69.20/69.39 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( apply(__eqx_0, __eqx_1) = apply(__eqy_0, __eqy_1)) )).
% 69.20/69.39 cnf(matrix-4, plain, ( ( apply(apply(apply(b, X), Y), Z) = apply(X, apply(Y, Z))) )).
% 69.20/69.39 cnf(matrix-5, plain, ( ( apply(apply(w, X), Y) = apply(apply(X, Y), Y)) )).
% 69.20/69.39 cnf(matrix-6, plain, ( ( strong_fixed_point = apply(apply(b, apply(apply(b, apply(w, w)), apply(b, w))), apply(apply(b, b), b))) )).
% 69.20/69.39 cnf(matrix-7, plain, ( ( apply(strong_fixed_point, fixed_pt) != apply(fixed_pt, apply(strong_fixed_point, fixed_pt))) )).
% 69.20/69.39
% 69.20/69.39 % Proof stack:
% 69.20/69.39 cnf(proof-stack, plain,
% 69.20/69.39 proof_stack(
% 69.20/69.39 start(7),
% 69.20/69.39 left_branch(0, 2, 2, 2),
% 69.20/69.39 left_branch(0, 3, 2, 3),
% 69.20/69.39 left_branch(0, 6, 0, 4),
% 69.20/69.39 right_branch(4),
% 69.20/69.39 left_branch(0, 1, 1, 5),
% 69.20/69.39 left_branch(0, 0, 0, 6),
% 69.20/69.39 right_branch(6),
% 69.20/69.39 right_branch(5),
% 69.20/69.39 right_branch(3),
% 69.20/69.39 left_branch(0, 2, 2, 4),
% 69.20/69.39 left_branch(0, 4, 0, 5),
% 69.20/69.39 right_branch(5),
% 69.20/69.39 left_branch(0, 2, 2, 6),
% 69.20/69.39 left_branch(0, 4, 0, 7),
% 69.20/69.39 right_branch(7),
% 69.20/69.39 left_branch(0, 2, 2, 8),
% 69.20/69.39 left_branch(0, 5, 0, 9),
% 69.20/69.39 right_branch(9),
% 69.20/69.39 left_branch(0, 2, 2, 10),
% 69.20/69.39 left_branch(0, 5, 0, 11),
% 69.20/69.39 right_branch(11),
% 69.20/69.39 left_branch(0, 2, 2, 12),
% 69.20/69.39 left_branch(0, 3, 2, 13),
% 69.20/69.39 left_branch(0, 4, 0, 14),
% 69.20/69.39 right_branch(14),
% 69.20/69.39 left_branch(0, 3, 2, 15),
% 69.20/69.39 left_branch(0, 3, 2, 16),
% 69.20/69.39 left_branch(0, 1, 1, 17),
% 69.20/69.39 left_branch(0, 0, 0, 18),
% 69.20/69.39 right_branch(18),
% 69.20/69.39 right_branch(17),
% 69.20/69.39 left_branch(0, 1, 1, 18),
% 69.20/69.39 left_branch(0, 0, 0, 19),
% 69.20/69.39 right_branch(19),
% 69.20/69.39 right_branch(18),
% 69.20/69.39 right_branch(16),
% 69.20/69.39 left_branch(0, 4, 0, 17),
% 69.20/69.39 right_branch(17),
% 69.20/69.39 right_branch(15),
% 69.20/69.39 right_branch(13),
% 69.20/69.39 left_branch(0, 2, 2, 14),
% 69.20/69.39 left_branch(0, 5, 0, 15),
% 69.20/69.39 right_branch(15),
% 69.20/69.39 left_branch(0, 2, 2, 16),
% 69.20/69.39 left_branch(0, 3, 2, 17),
% 69.20/69.39 left_branch(0, 3, 2, 18),
% 69.20/69.39 left_branch(0, 3, 2, 19),
% 69.20/69.39 left_branch(0, 4, 0, 20),
% 69.20/69.39 right_branch(20),
% 69.20/69.39 left_branch(0, 3, 2, 21),
% 69.20/69.39 left_branch(0, 3, 2, 22),
% 69.20/69.39 left_branch(0, 1, 1, 23),
% 69.20/69.39 left_branch(0, 0, 0, 24),
% 69.20/69.39 right_branch(24),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 left_branch(0, 1, 1, 24),
% 69.20/69.39 left_branch(0, 0, 0, 25),
% 69.20/69.39 right_branch(25),
% 69.20/69.39 right_branch(24),
% 69.20/69.39 right_branch(22),
% 69.20/69.39 left_branch(0, 4, 0, 23),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 right_branch(21),
% 69.20/69.39 right_branch(19),
% 69.20/69.39 left_branch(0, 3, 2, 20),
% 69.20/69.39 left_branch(0, 3, 2, 21),
% 69.20/69.39 left_branch(0, 1, 1, 22),
% 69.20/69.39 left_branch(0, 0, 0, 23),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 right_branch(22),
% 69.20/69.39 left_branch(0, 1, 1, 23),
% 69.20/69.39 left_branch(0, 0, 0, 24),
% 69.20/69.39 right_branch(24),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 right_branch(21),
% 69.20/69.39 left_branch(0, 3, 2, 22),
% 69.20/69.39 left_branch(0, 1, 1, 23),
% 69.20/69.39 left_branch(0, 0, 0, 24),
% 69.20/69.39 right_branch(24),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 left_branch(0, 3, 2, 24),
% 69.20/69.39 left_branch(0, 1, 1, 25),
% 69.20/69.39 left_branch(0, 0, 0, 26),
% 69.20/69.39 right_branch(26),
% 69.20/69.39 right_branch(25),
% 69.20/69.39 left_branch(0, 1, 1, 26),
% 69.20/69.39 left_branch(0, 0, 0, 27),
% 69.20/69.39 right_branch(27),
% 69.20/69.39 right_branch(26),
% 69.20/69.39 right_branch(24),
% 69.20/69.39 right_branch(22),
% 69.20/69.39 right_branch(20),
% 69.20/69.39 right_branch(18),
% 69.20/69.39 left_branch(0, 3, 2, 19),
% 69.20/69.39 left_branch(0, 3, 2, 20),
% 69.20/69.39 left_branch(0, 1, 1, 21),
% 69.20/69.39 left_branch(0, 0, 0, 22),
% 69.20/69.39 right_branch(22),
% 69.20/69.39 right_branch(21),
% 69.20/69.39 left_branch(0, 1, 1, 22),
% 69.20/69.39 left_branch(0, 0, 0, 23),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 right_branch(22),
% 69.20/69.39 right_branch(20),
% 69.20/69.39 left_branch(0, 3, 2, 21),
% 69.20/69.39 left_branch(0, 1, 1, 22),
% 69.20/69.39 left_branch(0, 0, 0, 23),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 right_branch(22),
% 69.20/69.39 left_branch(0, 3, 2, 23),
% 69.20/69.39 left_branch(0, 1, 1, 24),
% 69.20/69.39 left_branch(0, 0, 0, 25),
% 69.20/69.39 right_branch(25),
% 69.20/69.39 right_branch(24),
% 69.20/69.39 left_branch(0, 1, 1, 25),
% 69.20/69.39 left_branch(0, 0, 0, 26),
% 69.20/69.39 right_branch(26),
% 69.20/69.39 right_branch(25),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 right_branch(21),
% 69.20/69.39 right_branch(19),
% 69.20/69.39 right_branch(17),
% 69.20/69.39 left_branch(0, 2, 2, 18),
% 69.20/69.39 left_branch(0, 3, 2, 19),
% 69.20/69.39 left_branch(0, 4, 0, 20),
% 69.20/69.39 right_branch(20),
% 69.20/69.39 left_branch(0, 3, 2, 21),
% 69.20/69.39 left_branch(0, 3, 2, 22),
% 69.20/69.39 left_branch(0, 1, 1, 23),
% 69.20/69.39 left_branch(0, 0, 0, 24),
% 69.20/69.39 right_branch(24),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 left_branch(0, 1, 1, 24),
% 69.20/69.39 left_branch(0, 0, 0, 25),
% 69.20/69.39 right_branch(25),
% 69.20/69.39 right_branch(24),
% 69.20/69.39 right_branch(22),
% 69.20/69.39 left_branch(0, 3, 2, 23),
% 69.20/69.39 left_branch(0, 1, 1, 24),
% 69.20/69.39 left_branch(0, 0, 0, 25),
% 69.20/69.39 right_branch(25),
% 69.20/69.39 right_branch(24),
% 69.20/69.39 left_branch(0, 3, 2, 25),
% 69.20/69.39 left_branch(0, 1, 1, 26),
% 69.20/69.39 left_branch(0, 0, 0, 27),
% 69.20/69.39 right_branch(27),
% 69.20/69.39 right_branch(26),
% 69.20/69.39 left_branch(0, 1, 1, 27),
% 69.20/69.39 left_branch(0, 0, 0, 28),
% 69.20/69.39 right_branch(28),
% 69.20/69.39 right_branch(27),
% 69.20/69.39 right_branch(25),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 right_branch(21),
% 69.20/69.39 right_branch(19),
% 69.20/69.39 left_branch(0, 2, 2, 20),
% 69.20/69.39 left_branch(0, 4, 0, 21),
% 69.20/69.39 right_branch(21),
% 69.20/69.39 left_branch(0, 3, 2, 22),
% 69.20/69.39 left_branch(0, 0, 0, 23),
% 69.20/69.39 right_branch(23),
% 69.20/69.39 left_branch(0, 1, 1, 24),
% 69.20/69.39 left_branch(0, 2, 2, 25),
% 69.20/69.39 left_branch(0, 3, 2, 26),
% 69.20/69.39 left_branch(0, 6, 0, 27),
% 69.20/69.39 right_branch(27),
% 69.20/69.39 left_branch(0, 1, 1, 28),
% 69.20/69.39 left_branch(0, 0, 0, 29),
% 69.20/69.39 right_branch(29),
% 69.20/69.39 right_branch(28),
% 69.20/69.39 right_branch(26),
% 69.20/69.39 left_branch(0, 2, 2, 27),
% 69.20/69.39 left_branch(0, 4, 0, 28),
% 69.20/69.39 right_branch(28),
% 69.20/69.39 left_branch(0, 2, 2, 29),
% 69.20/69.39 left_branch(0, 4, 0, 30),
% 69.20/69.39 right_branch(30),
% 69.20/69.39 left_branch(0, 2, 2, 31),
% 69.20/69.39 left_branch(0, 5, 0, 32),
% 69.20/69.39 right_branch(32),
% 69.20/69.39 left_branch(0, 2, 2, 33),
% 69.20/69.39 left_branch(0, 5, 0, 34),
% 69.20/69.39 right_branch(34),
% 69.20/69.39 left_branch(0, 3, 2, 35),
% 69.20/69.39 left_branch(0, 3, 2, 36),
% 69.20/69.39 left_branch(0, 3, 2, 37),
% 69.20/69.39 left_branch(0, 0, 0, 38),
% 69.20/69.39 right_branch(38),
% 69.20/69.39 left_branch(0, 4, 0, 39),
% 69.20/69.39 right_branch(39),
% 69.20/69.39 right_branch(37),
% 69.20/69.39 lemmata(0, 16),
% 69.20/69.39 right_branch(36),
% 69.20/69.39 left_branch(0, 3, 2, 37),
% 69.20/69.39 left_branch(0, 3, 2, 38),
% 69.20/69.39 left_branch(0, 0, 0, 39),
% 69.20/69.39 right_branch(39),
% 69.20/69.39 left_branch(0, 0, 0, 40),
% 69.20/69.39 right_branch(40),
% 69.20/69.39 right_branch(38),
% 69.20/69.39 left_branch(0, 4, 0, 39),
% 69.20/69.39 right_branch(39),
% 69.20/69.39 right_branch(37),
% 69.20/69.39 right_branch(35),
% 69.20/69.39 right_branch(33),
% 69.20/69.39 right_branch(31),
% 69.20/69.39 right_branch(29),
% 69.20/69.39 right_branch(27),
% 69.20/69.39 right_branch(25),
% 69.20/69.39 right_branch(24),
% 69.20/69.39 right_branch(22),
% 69.20/69.39 right_branch(20),
% 69.20/69.39 right_branch(18),
% 69.20/69.39 right_branch(16),
% 69.20/69.39 right_branch(14),
% 69.20/69.39 right_branch(12),
% 69.20/69.39 right_branch(10),
% 69.20/69.39 right_branch(8),
% 69.20/69.39 right_branch(6),
% 69.20/69.39 right_branch(4),
% 69.20/69.39 right_branch(2)
% 69.20/69.39 )).
% 69.20/69.39 % SZS output end Proof for theBenchmark
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