%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : HWC003-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 10:19:21 AM UTC 2026
% Result : Unsatisfiable 6.89s 1.39s
% Output : Proof 12.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWC003-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 10:54:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.89/1.39 Command-line arguments: --flatten --complete-subsets
% 6.89/1.39
% 6.89/1.39 % SZS status Unsatisfiable
% 6.89/1.39
% 10.65/1.84 % SZS output start Proof
% 10.65/1.84 Axiom 1 (not_definition1): not(n0) = n1.
% 10.65/1.84 Axiom 2 (not_definition2): not(n1) = n0.
% 10.65/1.84 Axiom 3 (make_reverse_list_definition2): make_reverse_list(X) = end.
% 10.65/1.84 Axiom 4 (add_inverter_definition2): add_inverter(X, Y) = list(Y, X).
% 10.65/1.84 Axiom 5 (add_inverter_definition1): add_inverter(list(X, Y), Z) = list(X, add_inverter(Y, Z)).
% 10.65/1.84 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 10.65/1.84 Axiom 7 (input1): output(n0, n0, n0, n0, n1, n1, n1, n1, X) = true.
% 10.65/1.84 Axiom 8 (input2): output(n0, n0, n1, n1, n0, n0, n1, n1, X) = true.
% 10.65/1.84 Axiom 9 (input3): output(n0, n1, n0, n1, n0, n1, n0, n1, X) = true.
% 10.65/1.84 Axiom 10 (basic_output_definition): ifeq(basic_output(X, Y, Z, W, V, U, T, S, X2), true, output(X, Y, Z, W, V, U, T, S, X2), true) = true.
% 10.65/1.84 Axiom 11 (create_test): ifeq(test(X, Y, Z, W, V, U, T, S, X2, Y2), true, basic_output(X, Y, Z, W, V, U, T, S, X2), true) = true.
% 10.65/1.84 Axiom 12 (inverter_test): ifeq(output(X, Y, Z, W, V, U, T, S, X2), true, test(not(X), not(Y), not(Z), not(W), not(V), not(U), not(T), not(S), add_inverter(X2, inverter_table(not(X), not(Y), not(Z), not(W), not(V), not(U), not(T), not(S))), make_reverse_list(list(inverter_table(not(X), not(Y), not(Z), not(W), not(V), not(U), not(T), not(S)), X2))), true) = true.
% 10.65/1.84
% 10.65/1.84 Lemma 13: add_inverter(add_inverter(X, Z), Y) = add_inverter(add_inverter(X, Y), Z).
% 10.65/1.84 Proof:
% 10.65/1.84 add_inverter(add_inverter(X, Z), Y)
% 10.65/1.84 = { by axiom 4 (add_inverter_definition2) }
% 10.65/1.84 list(Y, add_inverter(X, Z))
% 10.65/1.84 = { by axiom 5 (add_inverter_definition1) R->L }
% 10.65/1.84 add_inverter(list(Y, X), Z)
% 10.65/1.84 = { by axiom 4 (add_inverter_definition2) R->L }
% 10.65/1.86 add_inverter(add_inverter(X, Y), Z)
% 10.65/1.86
% 10.65/1.86 Goal 1 (prove_cannot_construct_this): tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, X), output(n1, n1, n0, n0, n1, n1, n0, n0, X), output(n1, n1, n1, n1, n0, n0, n0, n0, X)) = tuple(true, true, true).
% 10.65/1.86 The goal is true when:
% 10.65/1.86 X = add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))
% 10.65/1.86
% 10.65/1.86 Proof:
% 10.65/1.86 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, n1, n0, n0, n1, n1, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, n1, n1, n1, n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.86 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.86 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, n1, n0, n0, n1, n1, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, n1, n1, not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.86 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.86 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, n1, n0, n0, n1, n1, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, n1, not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.86 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.87 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, n1, n0, n0, n1, n1, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, not(n0), not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.87 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.87 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, n1, n0, n0, n1, n1, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.87 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.87 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, n1, n0, n0, n1, not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.87 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.87 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, n1, n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.87 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.87 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(n1, not(n0), n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.87 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.87 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.87 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.87 tuple(output(n1, n0, n1, n0, n1, n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.88 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.88 tuple(output(n1, n0, n1, n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.88 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.88 tuple(output(n1, n0, not(n0), n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.88 = { by axiom 1 (not_definition1) R->L }
% 10.65/1.88 tuple(output(not(n0), n0, not(n0), n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.88 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.88 tuple(output(not(n0), n0, not(n0), n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, n0, not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.88 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.88 tuple(output(not(n0), n0, not(n0), n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, n0, not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.88 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.89 tuple(output(not(n0), n0, not(n0), n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), n0, not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.89 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.89 tuple(output(not(n0), n0, not(n0), n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), n0, n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.89 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.89 tuple(output(not(n0), n0, not(n0), n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), n0, not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.89 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.89 tuple(output(not(n0), n0, not(n0), n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, n0, not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.89 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.89 tuple(output(not(n0), n0, not(n0), n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), n0, not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.90 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.90 tuple(output(not(n0), n0, not(n0), n0, not(n0), n0, not(n0), n0, add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.90 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.90 tuple(output(not(n0), n0, not(n0), n0, not(n0), n0, not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.90 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.90 tuple(output(not(n0), n0, not(n0), n0, not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.90 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.90 tuple(output(not(n0), n0, not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.90 = { by axiom 2 (not_definition2) R->L }
% 10.65/1.90 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))
% 10.65/1.90 = { by axiom 6 (ifeq_axiom) R->L }
% 11.46/1.90 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(true, true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.90 = { by axiom 11 (create_test) R->L }
% 11.46/1.91 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.91 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.91 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.91 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.91 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.91 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.92 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.92 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.92 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.93 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.93 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(n1), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.93 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.93 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.93 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.93 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(n1))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.93 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.93 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.94 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.94 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.94 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.94 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.94 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.94 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n1)), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.94 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.95 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.95 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.95 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(n0), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.95 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.95 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(n0), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.95 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.95 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(n0), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.95 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.96 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.96 = { by axiom 6 (ifeq_axiom) R->L }
% 11.46/1.96 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(true, true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.96 = { by axiom 7 (input1) R->L }
% 11.46/1.96 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(n0, n0, n0, n0, n1, n1, n1, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.96 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.96 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(n0, n0, n0, not(n1), n1, n1, n1, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.96 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.97 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(n0, n0, not(n1), not(n1), n1, n1, n1, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.97 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.97 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(n0, not(n1), not(n1), not(n1), n1, n1, n1, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.97 = { by axiom 2 (not_definition2) R->L }
% 11.46/1.97 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), not(n1), not(n1), n1, n1, n1, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.97 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.98 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), not(n1), not(n1), n1, n1, n1, not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.98 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.98 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), not(n1), not(n1), n1, n1, not(n0), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.98 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.98 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), not(n1), not(n1), n1, not(n0), not(n0), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.98 = { by axiom 1 (not_definition1) R->L }
% 11.46/1.99 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), not(n1), not(n1), not(n0), not(n0), not(n0), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.99 = { by axiom 3 (make_reverse_list_definition2) R->L }
% 11.46/1.99 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), not(n1), not(n1), not(n0), not(n0), not(n0), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0)))), make_reverse_list(list(inverter_table(not(not(n1)), not(not(n1)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n0)), not(not(n0))), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))))), true), true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.99 = { by axiom 12 (inverter_test) }
% 11.46/1.99 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(true, true, basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.99 = { by axiom 6 (ifeq_axiom) }
% 11.46/1.99 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(basic_output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, output(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true))
% 11.46/1.99 = { by axiom 10 (basic_output_definition) }
% 11.46/1.99 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true)
% 11.46/2.00 = { by lemma 13 }
% 11.46/2.00 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true)
% 11.46/2.00 = { by axiom 6 (ifeq_axiom) R->L }
% 11.46/2.00 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(true, true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.00 = { by axiom 11 (create_test) R->L }
% 11.46/2.00 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.00 = { by axiom 1 (not_definition1) R->L }
% 11.46/2.00 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(not(n0)), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.00 = { by axiom 1 (not_definition1) R->L }
% 11.46/2.00 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.01 = { by axiom 1 (not_definition1) R->L }
% 11.46/2.01 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.01 = { by axiom 1 (not_definition1) R->L }
% 11.46/2.01 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.01 = { by axiom 1 (not_definition1) R->L }
% 11.46/2.01 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(not(n0)), not(n1), not(n0), not(n0), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.01 = { by axiom 1 (not_definition1) R->L }
% 11.46/2.02 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(n1), not(n1))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.02 = { by axiom 1 (not_definition1) R->L }
% 11.46/2.02 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(n1))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.02 = { by axiom 1 (not_definition1) R->L }
% 11.46/2.02 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.02 = { by axiom 2 (not_definition2) R->L }
% 11.46/2.02 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.02 = { by axiom 2 (not_definition2) R->L }
% 11.46/2.03 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.03 = { by axiom 2 (not_definition2) R->L }
% 11.46/2.03 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(n0), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.03 = { by axiom 2 (not_definition2) R->L }
% 11.46/2.03 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.03 = { by axiom 2 (not_definition2) R->L }
% 11.46/2.03 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(n0), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.03 = { by axiom 2 (not_definition2) R->L }
% 11.46/2.03 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(n0), not(n0), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 11.46/2.04 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.04 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(n0), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.04 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.04 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.04 = { by axiom 6 (ifeq_axiom) R->L }
% 12.65/2.04 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(true, true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.04 = { by axiom 8 (input2) R->L }
% 12.65/2.04 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(n0, n0, n1, n1, n0, n0, n1, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.04 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.04 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(n0, n0, n1, n1, n0, not(n1), n1, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.04 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.05 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(n0, n0, n1, n1, not(n1), not(n1), n1, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.05 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.05 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(n0, not(n1), n1, n1, not(n1), not(n1), n1, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.05 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.05 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), n1, n1, not(n1), not(n1), n1, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.05 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.05 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), n1, n1, not(n1), not(n1), n1, not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.05 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.05 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), n1, n1, not(n1), not(n1), not(n0), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.05 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.06 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), n1, not(n0), not(n1), not(n1), not(n0), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.06 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.06 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.06 = { by axiom 3 (make_reverse_list_definition2) R->L }
% 12.65/2.06 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(ifeq(output(not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)))), make_reverse_list(list(inverter_table(not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0)), not(not(n1)), not(not(n1)), not(not(n0)), not(not(n0))), add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))))), true), true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.06 = { by axiom 12 (inverter_test) }
% 12.65/2.06 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(ifeq(true, true, basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.06 = { by axiom 6 (ifeq_axiom) }
% 12.65/2.06 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), ifeq(basic_output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, output(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true), true)
% 12.65/2.06 = { by axiom 10 (basic_output_definition) }
% 12.65/2.06 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)))), true, true)
% 12.65/2.06 = { by lemma 13 R->L }
% 12.65/2.06 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, true)
% 12.65/2.06 = { by lemma 13 }
% 12.65/2.06 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, true)
% 12.65/2.06 = { by lemma 13 }
% 12.65/2.06 tuple(output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true, true)
% 12.65/2.06 = { by axiom 6 (ifeq_axiom) R->L }
% 12.65/2.06 tuple(ifeq(true, true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.06 = { by axiom 11 (create_test) R->L }
% 12.65/2.07 tuple(ifeq(ifeq(test(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.07 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.07 tuple(ifeq(ifeq(test(not(n0), not(not(n0)), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.07 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.07 tuple(ifeq(ifeq(test(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.07 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.07 tuple(ifeq(ifeq(test(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.07 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.07 tuple(ifeq(ifeq(test(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.07 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.07 tuple(ifeq(ifeq(test(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(not(n0)), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.07 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.07 tuple(ifeq(ifeq(test(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(n1), not(n0), not(n1))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.07 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.07 tuple(ifeq(ifeq(test(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(n1))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.07 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.07 tuple(ifeq(ifeq(test(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.07 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.07 tuple(ifeq(ifeq(test(not(not(n1)), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.08 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.08 tuple(ifeq(ifeq(test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.08 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.08 tuple(ifeq(ifeq(test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(n0), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.08 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.08 tuple(ifeq(ifeq(test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.08 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.08 tuple(ifeq(ifeq(test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.08 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.08 tuple(ifeq(ifeq(test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(n0), not(not(n0)), not(n0), not(not(n0)))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.08 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.08 tuple(ifeq(ifeq(test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(n0), not(not(n0)))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.08 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.08 tuple(ifeq(ifeq(test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.08 = { by axiom 6 (ifeq_axiom) R->L }
% 12.65/2.08 tuple(ifeq(ifeq(ifeq(true, true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.08 = { by axiom 9 (input3) R->L }
% 12.65/2.08 tuple(ifeq(ifeq(ifeq(output(n0, n1, n0, n1, n0, n1, n0, n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.09 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.09 tuple(ifeq(ifeq(ifeq(output(n0, n1, n0, n1, n0, n1, not(n1), n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.09 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.09 tuple(ifeq(ifeq(ifeq(output(n0, n1, n0, n1, not(n1), n1, not(n1), n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.09 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.09 tuple(ifeq(ifeq(ifeq(output(n0, n1, not(n1), n1, not(n1), n1, not(n1), n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.09 = { by axiom 2 (not_definition2) R->L }
% 12.65/2.09 tuple(ifeq(ifeq(ifeq(output(not(n1), n1, not(n1), n1, not(n1), n1, not(n1), n1, add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.09 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.09 tuple(ifeq(ifeq(ifeq(output(not(n1), n1, not(n1), n1, not(n1), n1, not(n1), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.09 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.10 tuple(ifeq(ifeq(ifeq(output(not(n1), n1, not(n1), n1, not(n1), not(n0), not(n1), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.10 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.10 tuple(ifeq(ifeq(ifeq(output(not(n1), n1, not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.10 = { by axiom 1 (not_definition1) R->L }
% 12.65/2.10 tuple(ifeq(ifeq(ifeq(output(not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), end), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.10 = { by axiom 3 (make_reverse_list_definition2) R->L }
% 12.65/2.10 tuple(ifeq(ifeq(ifeq(output(not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))), true, test(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)))), make_reverse_list(list(inverter_table(not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0)), not(not(n1)), not(not(n0))), add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)))))), true), true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.10 = { by axiom 12 (inverter_test) }
% 12.65/2.10 tuple(ifeq(ifeq(true, true, basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.10 = { by axiom 6 (ifeq_axiom) }
% 12.65/2.10 tuple(ifeq(basic_output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true, output(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), add_inverter(add_inverter(add_inverter(X, inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1))), inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1))), inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)))), true), true, true)
% 12.65/2.10 = { by axiom 10 (basic_output_definition) }
% 12.65/2.10 tuple(true, true, true)
% 12.65/2.10 % SZS output end Proof
% 12.65/2.10
% 12.65/2.10 RESULT: Unsatisfiable (the axioms are contradictory).
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