TSTP Solution File: SET012-4 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET012-4 : 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 : n025.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 14:30:40 EDT 2024
% Result : Unsatisfiable 15.77s 15.94s
% Output : Proof 15.77s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET012-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Mar 20 22:18:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 15.77/15.94 % SZS status Unsatisfiable for theBenchmark
% 15.77/15.94 % SZS output start Proof for theBenchmark
% 15.77/15.94
% 15.77/15.94 % Problem matrix:
% 15.77/15.94 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 15.77/15.94 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 15.77/15.94 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 15.77/15.94 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f1(__eqx_0, __eqx_1) = f1(__eqy_0, __eqy_1)) )).
% 15.77/15.94 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( complement(__eqx_0) = complement(__eqy_0)) )).
% 15.77/15.94 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 15.77/15.94 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~little_set(__eqx_0) | little_set(__eqy_0) )).
% 15.77/15.94 cnf(matrix-7, plain, ( ~member(X, Y) | little_set(X) )).
% 15.77/15.94 cnf(matrix-8, plain, ( little_set(f1(X, Y)) | ( X = Y) )).
% 15.77/15.94 cnf(matrix-9, plain, ( member(f1(X, Y), X) | member(f1(X, Y), Y) | ( X = Y) )).
% 15.77/15.94 cnf(matrix-10, plain, ( ~member(f1(X, Y), X) | ~member(f1(X, Y), Y) | ( X = Y) )).
% 15.77/15.94 cnf(matrix-11, plain, ( ~member(Z, complement(X)) | ~member(Z, X) )).
% 15.77/15.94 cnf(matrix-12, plain, ( member(Z, complement(X)) | ~little_set(Z) | member(Z, X) )).
% 15.77/15.94 cnf(matrix-13, plain, ( ~member(Z, empty_set) )).
% 15.77/15.94 cnf(matrix-14, plain, ( member(Z, universal_set) | ~little_set(Z) )).
% 15.77/15.94 cnf(matrix-15, plain, ( ( complement(as) = bs) )).
% 15.77/15.94 cnf(matrix-16, plain, ( ( complement(bs) = cs) )).
% 15.77/15.94 cnf(matrix-17, plain, ( ( as != cs) )).
% 15.77/15.94
% 15.77/15.94 % Proof stack:
% 15.77/15.94 cnf(proof-stack, plain,
% 15.77/15.94 proof_stack(
% 15.77/15.94 start(17),
% 15.77/15.94 left_branch(0, 2, 2, 2),
% 15.77/15.94 left_branch(0, 10, 2, 3),
% 15.77/15.94 left_branch(0, 12, 2, 4),
% 15.77/15.94 left_branch(0, 11, 1, 5),
% 15.77/15.94 left_branch(0, 12, 2, 6),
% 15.77/15.94 left_branch(0, 11, 1, 7),
% 15.77/15.94 left_branch(0, 9, 1, 8),
% 15.77/15.94 reduction(0, 2),
% 15.77/15.94 reduction(0, 1),
% 15.77/15.94 right_branch(8),
% 15.77/15.94 right_branch(7),
% 15.77/15.94 left_branch(0, 8, 0, 8),
% 15.77/15.94 reduction(0, 1),
% 15.77/15.94 right_branch(8),
% 15.77/15.94 right_branch(6),
% 15.77/15.94 right_branch(5),
% 15.77/15.94 left_branch(0, 8, 0, 6),
% 15.77/15.94 reduction(0, 1),
% 15.77/15.94 right_branch(6),
% 15.77/15.94 right_branch(4),
% 15.77/15.94 left_branch(0, 12, 2, 5),
% 15.77/15.94 left_branch(0, 7, 0, 6),
% 15.77/15.94 left_branch(0, 12, 1, 7),
% 15.77/15.94 reduction(0, 2),
% 15.77/15.94 left_branch(0, 11, 0, 9),
% 15.77/15.94 left_branch(0, 12, 0, 10),
% 15.77/15.94 left_branch(0, 11, 0, 11),
% 15.77/15.94 lemmata(0, 0),
% 15.77/15.94 right_branch(11),
% 15.77/15.94 reduction(0, 4),
% 15.77/15.94 right_branch(10),
% 15.77/15.94 right_branch(9),
% 15.77/15.94 right_branch(7),
% 15.77/15.94 right_branch(6),
% 15.77/15.94 left_branch(0, 8, 0, 7),
% 15.77/15.94 reduction(0, 1),
% 15.77/15.94 right_branch(7),
% 15.77/15.94 right_branch(5),
% 15.77/15.94 right_branch(3),
% 15.77/15.94 left_branch(0, 1, 1, 4),
% 15.77/15.94 left_branch(0, 2, 2, 5),
% 15.77/15.94 left_branch(0, 10, 2, 6),
% 15.77/15.94 left_branch(0, 12, 2, 7),
% 15.77/15.94 left_branch(0, 11, 1, 8),
% 15.77/15.94 left_branch(0, 9, 1, 9),
% 15.77/15.94 reduction(0, 4),
% 15.77/15.94 reduction(0, 3),
% 15.77/15.94 right_branch(9),
% 15.77/15.94 right_branch(8),
% 15.77/15.94 left_branch(0, 8, 0, 9),
% 15.77/15.94 reduction(0, 3),
% 15.77/15.94 right_branch(9),
% 15.77/15.94 right_branch(7),
% 15.77/15.94 left_branch(0, 12, 2, 8),
% 15.77/15.94 left_branch(0, 7, 0, 9),
% 15.77/15.94 left_branch(0, 12, 1, 10),
% 15.77/15.94 reduction(0, 4),
% 15.77/15.94 left_branch(0, 11, 0, 12),
% 15.77/15.94 lemmata(0, 1),
% 15.77/15.94 right_branch(12),
% 15.77/15.94 right_branch(10),
% 15.77/15.94 right_branch(9),
% 15.77/15.94 left_branch(0, 8, 0, 10),
% 15.77/15.94 reduction(0, 3),
% 15.77/15.94 right_branch(10),
% 15.77/15.94 right_branch(8),
% 15.77/15.94 right_branch(6),
% 15.77/15.94 left_branch(0, 4, 1, 7),
% 15.77/15.94 left_branch(0, 4, 1, 8),
% 15.77/15.94 left_branch(0, 1, 1, 9),
% 15.77/15.94 left_branch(0, 2, 2, 10),
% 15.77/15.94 left_branch(0, 4, 1, 11),
% 15.77/15.94 left_branch(0, 15, 0, 12),
% 15.77/15.94 right_branch(12),
% 15.77/15.94 right_branch(11),
% 15.77/15.94 left_branch(0, 16, 0, 12),
% 15.77/15.94 right_branch(12),
% 15.77/15.94 right_branch(10),
% 15.77/15.94 right_branch(9),
% 15.77/15.94 right_branch(8),
% 15.77/15.94 right_branch(7),
% 15.77/15.94 right_branch(5),
% 15.77/15.94 right_branch(4),
% 15.77/15.94 right_branch(2)
% 15.77/15.94 )).
% 15.77/15.94 % SZS output end Proof for theBenchmark
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