TSTP Solution File: HWC003-2 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : HWC003-2 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:58:13 EDT 2023
% Result : Unsatisfiable 29.65s 4.14s
% Output : Proof 30.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWC003-2 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 06:42:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 29.65/4.14 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 29.65/4.14
% 29.65/4.14 % SZS status Unsatisfiable
% 29.65/4.14
% 29.91/4.21 % SZS output start Proof
% 29.91/4.21 Take the following subset of the input axioms:
% 29.91/4.21 fof(add_inverter_definition1, axiom, ![X, Y, Z]: add_inverter(list(X, Y), Z)=list(X, add_inverter(Y, Z))).
% 29.91/4.21 fof(add_inverter_definition2, axiom, ![Y2, X9]: add_inverter(X9, Y2)=list(Y2, X9)).
% 29.91/4.21 fof(basic_output_definition, axiom, ![V, X1, X2, X3, X4, X5, X6, X7, X8]: (~basic_output(X1, X2, X3, X4, X5, X6, X7, X8, V) | output(X1, X2, X3, X4, X5, X6, X7, X8, V))).
% 29.91/4.21 fof(create_test, axiom, ![Xrevlist, V2, X1_2, X2_2, X3_2, X4_2, X5_2, X6_2, X7_2, X8_2]: (~test(X1_2, X2_2, X3_2, X4_2, X5_2, X6_2, X7_2, X8_2, V2, Xrevlist) | basic_output(X1_2, X2_2, X3_2, X4_2, X5_2, X6_2, X7_2, X8_2, V2))).
% 29.91/4.21 fof(input1, negated_conjecture, ![X9]: output(n0, n0, n0, n0, n1, n1, n1, n1, X9)).
% 29.91/4.21 fof(input2, negated_conjecture, ![X9]: output(n0, n0, n1, n1, n0, n0, n1, n1, X9)).
% 29.91/4.21 fof(input3, negated_conjecture, ![X9]: output(n0, n1, n0, n1, n0, n1, n0, n1, X9)).
% 29.91/4.21 fof(inverter_test, axiom, ![V2, X1_2, X2_2, X3_2, X4_2, X5_2, X6_2, X7_2, X8_2]: (~output(X1_2, X2_2, X3_2, X4_2, X5_2, X6_2, X7_2, X8_2, V2) | test(not(X1_2), not(X2_2), not(X3_2), not(X4_2), not(X5_2), not(X6_2), not(X7_2), not(X8_2), add_inverter(V2, inverter_table(not(X1_2), not(X2_2), not(X3_2), not(X4_2), not(X5_2), not(X6_2), not(X7_2), not(X8_2))), make_reverse_list(list(inverter_table(not(X1_2), not(X2_2), not(X3_2), not(X4_2), not(X5_2), not(X6_2), not(X7_2), not(X8_2)), V2))))).
% 29.91/4.21 fof(make_reverse_list_definition2, axiom, ![V2]: make_reverse_list(V2)=end).
% 29.91/4.21 fof(not_definition1, axiom, not(n0)=n1).
% 29.91/4.21 fof(not_definition2, axiom, not(n1)=n0).
% 29.91/4.21 fof(prove_cannot_construct_this, negated_conjecture, ![V2]: (~output(n1, n1, n1, n1, n0, n0, n0, n0, V2) | (~output(n1, n1, n0, n0, n1, n1, n0, n0, V2) | ~output(n1, n0, n1, n0, n1, n0, n1, n0, V2)))).
% 29.91/4.21
% 29.91/4.21 Now clausify the problem and encode Horn clauses using encoding 3 of
% 29.91/4.21 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 29.91/4.21 We repeatedly replace C & s=t => u=v by the two clauses:
% 29.91/4.21 fresh(y, y, x1...xn) = u
% 29.91/4.21 C => fresh(s, t, x1...xn) = v
% 29.91/4.21 where fresh is a fresh function symbol and x1..xn are the free
% 29.91/4.21 variables of u and v.
% 29.91/4.21 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 29.91/4.21 input problem has no model of domain size 1).
% 29.91/4.21
% 29.91/4.21 The encoding turns the above axioms into the following unit equations and goals:
% 29.91/4.21
% 29.91/4.21 Axiom 1 (not_definition1): not(n0) = n1.
% 29.91/4.21 Axiom 2 (not_definition2): not(n1) = n0.
% 29.91/4.21 Axiom 3 (make_reverse_list_definition2): make_reverse_list(X) = end.
% 29.91/4.21 Axiom 4 (add_inverter_definition2): add_inverter(X, Y) = list(Y, X).
% 29.91/4.21 Axiom 5 (add_inverter_definition1): add_inverter(list(X, Y), Z) = list(X, add_inverter(Y, Z)).
% 29.91/4.21 Axiom 6 (input1): output(n0, n0, n0, n0, n1, n1, n1, n1, X) = true2.
% 29.91/4.21 Axiom 7 (input2): output(n0, n0, n1, n1, n0, n0, n1, n1, X) = true2.
% 29.91/4.21 Axiom 8 (input3): output(n0, n1, n0, n1, n0, n1, n0, n1, X) = true2.
% 29.91/4.21 Axiom 9 (basic_output_definition): fresh5(X, X, Y, Z, W, V, U, T, S, X2, Y2) = true2.
% 29.91/4.21 Axiom 10 (create_test): fresh4(X, X, Y, Z, W, V, U, T, S, X2, Y2) = true2.
% 29.91/4.21 Axiom 11 (inverter_test): fresh3(X, X, Y, Z, W, V, U, T, S, X2, Y2) = true2.
% 29.91/4.21 Axiom 12 (basic_output_definition): fresh5(basic_output(X, Y, Z, W, V, U, T, S, X2), true2, X, Y, Z, W, V, U, T, S, X2) = output(X, Y, Z, W, V, U, T, S, X2).
% 29.91/4.21 Axiom 13 (create_test): fresh4(test(X, Y, Z, W, V, U, T, S, X2, Y2), true2, X, Y, Z, W, V, U, T, S, X2) = basic_output(X, Y, Z, W, V, U, T, S, X2).
% 29.91/4.21 Axiom 14 (inverter_test): fresh3(output(X, Y, Z, W, V, U, T, S, X2), true2, X, Y, Z, W, V, U, T, S, X2) = 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))).
% 29.91/4.21
% 29.91/4.21 Lemma 15: list(X, list(Y, Z)) = list(Y, list(X, Z)).
% 29.91/4.21 Proof:
% 29.91/4.21 list(X, list(Y, Z))
% 29.91/4.21 = { by axiom 4 (add_inverter_definition2) R->L }
% 29.91/4.21 add_inverter(list(Y, Z), X)
% 29.91/4.21 = { by axiom 5 (add_inverter_definition1) }
% 29.91/4.22 list(Y, add_inverter(Z, X))
% 29.91/4.22 = { by axiom 4 (add_inverter_definition2) }
% 29.91/4.22 list(Y, list(X, Z))
% 29.91/4.22
% 29.91/4.22 Lemma 16: test(not(X), not(Y), not(Z), not(W), not(V), not(U), not(T), not(S), list(inverter_table(not(X), not(Y), not(Z), not(W), not(V), not(U), not(T), not(S)), X2), end) = fresh3(output(X, Y, Z, W, V, U, T, S, X2), true2, X, Y, Z, W, V, U, T, S, X2).
% 29.91/4.22 Proof:
% 29.91/4.22 test(not(X), not(Y), not(Z), not(W), not(V), not(U), not(T), not(S), list(inverter_table(not(X), not(Y), not(Z), not(W), not(V), not(U), not(T), not(S)), X2), end)
% 29.91/4.22 = { by axiom 3 (make_reverse_list_definition2) R->L }
% 29.91/4.22 test(not(X), not(Y), not(Z), not(W), not(V), not(U), not(T), not(S), list(inverter_table(not(X), not(Y), not(Z), not(W), not(V), not(U), not(T), not(S)), X2), make_reverse_list(list(inverter_table(not(X), not(Y), not(Z), not(W), not(V), not(U), not(T), not(S)), X2)))
% 29.91/4.22 = { by axiom 4 (add_inverter_definition2) R->L }
% 29.91/4.22 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)))
% 29.91/4.22 = { by axiom 14 (inverter_test) R->L }
% 29.91/4.22 fresh3(output(X, Y, Z, W, V, U, T, S, X2), true2, X, Y, Z, W, V, U, T, S, X2)
% 29.91/4.22
% 29.91/4.22 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(true2, true2, true2).
% 29.91/4.22 The goal is true when:
% 29.91/4.22 X = list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))
% 29.91/4.22
% 29.91/4.22 Proof:
% 29.91/4.22 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 29.91/4.22 = { by axiom 12 (basic_output_definition) R->L }
% 29.91/4.22 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(basic_output(n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 29.91/4.22 = { by axiom 13 (create_test) R->L }
% 29.91/4.22 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 29.91/4.22 = { by axiom 2 (not_definition2) R->L }
% 29.91/4.22 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, n1, n1, not(n1), n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 29.91/4.22 = { by axiom 2 (not_definition2) R->L }
% 29.91/4.22 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, n1, n1, not(n1), not(n1), n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 29.91/4.22 = { by axiom 2 (not_definition2) R->L }
% 29.91/4.22 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, n1, n1, not(n1), not(n1), not(n1), n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 29.91/4.23 = { by axiom 2 (not_definition2) R->L }
% 29.91/4.23 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, n1, n1, not(n1), not(n1), not(n1), not(n1), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 29.91/4.23 = { by axiom 2 (not_definition2) R->L }
% 29.91/4.23 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, n1, n1, not(n1), not(n1), not(n1), not(n1), list(inverter_table(n1, n1, n1, n1, not(n1), n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 29.91/4.23 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.23 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, n1, n1, not(n1), not(n1), not(n1), not(n1), list(inverter_table(n1, n1, n1, n1, not(n1), not(n1), n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.23 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.23 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, n1, n1, not(n1), not(n1), not(n1), not(n1), list(inverter_table(n1, n1, n1, n1, not(n1), not(n1), not(n1), n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.23 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.23 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, n1, n1, not(n1), not(n1), not(n1), not(n1), list(inverter_table(n1, n1, n1, n1, not(n1), not(n1), not(n1), not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.23 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.23 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), n1, n1, n1, not(n1), not(n1), not(n1), not(n1), list(inverter_table(n1, n1, n1, n1, not(n1), not(n1), not(n1), not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), n1, n1, not(n1), not(n1), not(n1), not(n1), list(inverter_table(n1, n1, n1, n1, not(n1), not(n1), not(n1), not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n0), n1, not(n1), not(n1), not(n1), not(n1), list(inverter_table(n1, n1, n1, n1, not(n1), not(n1), not(n1), not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), list(inverter_table(n1, n1, n1, n1, not(n1), not(n1), not(n1), not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), list(inverter_table(not(n0), n1, n1, n1, not(n1), not(n1), not(n1), not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), list(inverter_table(not(n0), not(n0), n1, n1, not(n1), not(n1), not(n1), not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), list(inverter_table(not(n0), not(n0), not(n0), n1, not(n1), not(n1), not(n1), not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1), list(inverter_table(not(n0), not(n0), not(n0), not(n0), not(n1), not(n1), not(n1), not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by lemma 16 }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(fresh3(output(n0, n0, n0, n0, n1, n1, n1, n1, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), true2, n0, n0, n0, n0, n1, n1, n1, n1, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 6 (input1) }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(fresh3(true2, true2, n0, n0, n0, n0, n1, n1, n1, n1, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 11 (inverter_test) }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(true2, true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 10 (create_test) }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(true2, true2, n1, n1, n1, n1, n0, n0, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))))
% 30.41/4.24 = { by axiom 9 (basic_output_definition) }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.24 = { by lemma 15 R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.24 = { by axiom 12 (basic_output_definition) R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(basic_output(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.24 = { by axiom 13 (create_test) R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.24 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.24 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, not(n1), n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.24 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, not(n1), not(n1), n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, not(n1), not(n1), n1, n1, not(n1), n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, not(n1), not(n1), n1, n1, not(n1), not(n1), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, not(n1), not(n1), n1, n1, not(n1), not(n1), list(inverter_table(n1, n1, not(n1), n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, not(n1), not(n1), n1, n1, not(n1), not(n1), list(inverter_table(n1, n1, not(n1), not(n1), n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, not(n1), not(n1), n1, n1, not(n1), not(n1), list(inverter_table(n1, n1, not(n1), not(n1), n1, n1, not(n1), n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(n1, n1, not(n1), not(n1), n1, n1, not(n1), not(n1), list(inverter_table(n1, n1, not(n1), not(n1), n1, n1, not(n1), not(n1)), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), n1, not(n1), not(n1), n1, n1, not(n1), not(n1), list(inverter_table(n1, n1, not(n1), not(n1), n1, n1, not(n1), not(n1)), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n1), not(n1), n1, n1, not(n1), not(n1), list(inverter_table(n1, n1, not(n1), not(n1), n1, n1, not(n1), not(n1)), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n1), not(n1), not(n0), n1, not(n1), not(n1), list(inverter_table(n1, n1, not(n1), not(n1), n1, n1, not(n1), not(n1)), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), list(inverter_table(n1, n1, not(n1), not(n1), n1, n1, not(n1), not(n1)), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), list(inverter_table(not(n0), n1, not(n1), not(n1), n1, n1, not(n1), not(n1)), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), list(inverter_table(not(n0), not(n0), not(n1), not(n1), n1, n1, not(n1), not(n1)), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), list(inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), n1, not(n1), not(n1)), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(test(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1), list(inverter_table(not(n0), not(n0), not(n1), not(n1), not(n0), not(n0), not(n1), not(n1)), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), end), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by lemma 16 }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(fresh3(output(n0, n0, n1, n1, n0, n0, n1, n1, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), true2, n0, n0, n1, n1, n0, n0, n1, n1, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 7 (input2) }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(fresh3(true2, true2, n0, n0, n1, n1, n0, n0, n1, n1, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 11 (inverter_test) }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(fresh4(true2, true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 10 (create_test) }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), fresh5(true2, true2, n1, n1, n0, n0, n1, n1, n0, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2)
% 30.41/4.25 = { by axiom 9 (basic_output_definition) }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, true2)
% 30.41/4.25 = { by lemma 15 }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), X)))), true2, true2)
% 30.41/4.25 = { by lemma 15 R->L }
% 30.41/4.25 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.25 = { by lemma 15 R->L }
% 30.41/4.26 tuple(output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 12 (basic_output_definition) R->L }
% 30.41/4.26 tuple(fresh5(basic_output(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 13 (create_test) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(n1, not(n1), n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(n1, not(n1), n1, not(n1), n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(n1, not(n1), n1, not(n1), n1, not(n1), n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(n1, not(n1), n1, not(n1), n1, not(n1), n1, not(n1), list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(n1, not(n1), n1, not(n1), n1, not(n1), n1, not(n1), list(inverter_table(n1, not(n1), n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(n1, not(n1), n1, not(n1), n1, not(n1), n1, not(n1), list(inverter_table(n1, not(n1), n1, not(n1), n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(n1, not(n1), n1, not(n1), n1, not(n1), n1, not(n1), list(inverter_table(n1, not(n1), n1, not(n1), n1, not(n1), n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 2 (not_definition2) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(n1, not(n1), n1, not(n1), n1, not(n1), n1, not(n1), list(inverter_table(n1, not(n1), n1, not(n1), n1, not(n1), n1, not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(not(n0), not(n1), n1, not(n1), n1, not(n1), n1, not(n1), list(inverter_table(n1, not(n1), n1, not(n1), n1, not(n1), n1, not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(not(n0), not(n1), not(n0), not(n1), n1, not(n1), n1, not(n1), list(inverter_table(n1, not(n1), n1, not(n1), n1, not(n1), n1, not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), n1, not(n1), list(inverter_table(n1, not(n1), n1, not(n1), n1, not(n1), n1, not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), list(inverter_table(n1, not(n1), n1, not(n1), n1, not(n1), n1, not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), list(inverter_table(not(n0), not(n1), n1, not(n1), n1, not(n1), n1, not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), list(inverter_table(not(n0), not(n1), not(n0), not(n1), n1, not(n1), n1, not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), list(inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), n1, not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 1 (not_definition1) R->L }
% 30.41/4.26 tuple(fresh5(fresh4(test(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), list(inverter_table(not(n0), not(n1), not(n0), not(n1), not(n0), not(n1), not(n0), not(n1)), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), end), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by lemma 16 }
% 30.41/4.26 tuple(fresh5(fresh4(fresh3(output(n0, n1, n0, n1, n0, n1, n0, n1, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), true2, n0, n1, n0, n1, n0, n1, n0, n1, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.41/4.26 = { by axiom 8 (input3) }
% 30.68/4.26 tuple(fresh5(fresh4(fresh3(true2, true2, n0, n1, n0, n1, n0, n1, n0, n1, list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.68/4.26 = { by axiom 11 (inverter_test) }
% 30.68/4.26 tuple(fresh5(fresh4(true2, true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.68/4.26 = { by axiom 10 (create_test) }
% 30.68/4.26 tuple(fresh5(true2, true2, n1, n0, n1, n0, n1, n0, n1, n0, list(inverter_table(n1, n0, n1, n0, n1, n0, n1, n0), list(inverter_table(n1, n1, n0, n0, n1, n1, n0, n0), list(inverter_table(n1, n1, n1, n1, n0, n0, n0, n0), X)))), true2, true2)
% 30.68/4.26 = { by axiom 9 (basic_output_definition) }
% 30.68/4.26 tuple(true2, true2, true2)
% 30.68/4.26 % SZS output end Proof
% 30.68/4.26
% 30.68/4.26 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------