%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 01:47:12 PM UTC 2026
% Result : Unsatisfiable 27.91s 3.89s
% Output : Proof 28.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n005.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 15:37:16 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.91/3.89 Command-line arguments: --no-flatten-goal
% 27.91/3.89
% 27.91/3.89 % SZS status Unsatisfiable
% 27.91/3.89
% 27.77/4.27 % SZS output start Proof
% 27.77/4.27 Axiom 1 (axiom_13): r0(e) = true.
% 27.77/4.27 Axiom 2 (axiom_28): k0(e) = true.
% 27.77/4.27 Axiom 3 (axiom_20): l0(a) = true.
% 27.77/4.27 Axiom 4 (axiom_1): s0(d) = true.
% 27.77/4.27 Axiom 5 (axiom_15): n0(a, b) = true.
% 27.77/4.27 Axiom 6 (axiom_34): n0(c, d) = true.
% 27.77/4.27 Axiom 7 (axiom_30): n0(e, e) = true.
% 27.77/4.27 Axiom 8 (axiom_37): n0(b, a) = true.
% 27.77/4.27 Axiom 9 (axiom_17): q0(X, d) = true.
% 27.77/4.27 Axiom 10 (axiom_18): p0(c, b) = true.
% 27.77/4.27 Axiom 11 (axiom_14): p0(b, X) = true.
% 27.77/4.27 Axiom 12 (axiom_19): m0(X, d, Y) = true.
% 27.77/4.27 Axiom 13 (axiom_12): m0(a, X, a) = true.
% 27.77/4.27 Axiom 14 (axiom_27): m0(e, b, c) = true.
% 27.77/4.27 Axiom 15 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 27.77/4.27 Axiom 16 (rule_136): ifeq(k1(b), true, m2(b), true) = true.
% 27.77/4.27 Axiom 17 (rule_012): ifeq(r0(e), true, m1(e, e, e), true) = true.
% 27.77/4.27 Axiom 18 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 27.77/4.27 Axiom 19 (rule_236): ifeq(n2(X), true, m3(X, X, X), true) = true.
% 27.77/4.27 Axiom 20 (rule_088): ifeq(l0(a), true, p1(a, a, a), true) = true.
% 27.77/4.27 Axiom 21 (rule_309): ifeq(n4(X, Y), true, n5(Y, Y), true) = true.
% 27.77/4.27 Axiom 22 (rule_137): ifeq(p1(X, Y, Z), true, n2(Z), true) = true.
% 27.77/4.27 Axiom 23 (rule_240): ifeq(p2(X, Y, Z), true, n3(Z), true) = true.
% 27.77/4.27 Axiom 24 (rule_194): ifeq(k2(X, Y), true, k3(Y, Y, X), true) = true.
% 27.77/4.27 Axiom 25 (rule_186): ifeq(l1(X, Y), true, q2(Y, Y, X), true) = true.
% 27.77/4.27 Axiom 26 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 27.77/4.27 Axiom 27 (rule_129): ifeq(q1(X, Y, Y), true, k2(Y, Y), true) = true.
% 27.77/4.27 Axiom 28 (rule_287): ifeq(k3(X, X, Y), true, p4(X, Y, X), true) = true.
% 27.77/4.27 Axiom 29 (rule_122): ifeq(m0(X, Y, X), true, q1(X, X, X), true) = true.
% 27.77/4.27 Axiom 30 (rule_150): ifeq(m1(X, X, Y), true, p2(Y, Y, Y), true) = true.
% 27.77/4.27 Axiom 31 (rule_188): ifeq(r1(X), true, ifeq(l0(X), true, r2(X), true), true) = true.
% 27.77/4.27 Axiom 32 (rule_090): ifeq(k0(e), true, ifeq(r0(e), true, p1(e, e, e), true), true) = true.
% 27.77/4.27 Axiom 33 (rule_284): ifeq(k4(X), true, ifeq(m3(Y, Y, Y), true, n4(Y, Y), true), true) = true.
% 27.77/4.27 Axiom 34 (rule_040): ifeq(k1(X), true, ifeq(m0(X, Y, e), true, n1(X, e, e), true), true) = true.
% 27.77/4.27 Axiom 35 (rule_281): ifeq(n4(X, X), true, ifeq(p3(X, Y, Y), true, n4(X, Y), true), true) = true.
% 27.77/4.27 Axiom 36 (rule_255): ifeq(q2(X, Y, Z), true, ifeq(n0(X, Y), true, q3(Y, Z), true), true) = true.
% 27.77/4.27 Axiom 37 (rule_242): ifeq(k3(X, Y, Z), true, ifeq(r2(X), true, p3(Z, X, Y), true), true) = true.
% 27.77/4.27 Axiom 38 (rule_177): ifeq(p1(X, X, X), true, ifeq(k0(Y), true, q2(X, Y, Y), true), true) = true.
% 27.77/4.27 Axiom 39 (rule_082): ifeq(p1(X, Y, Z), true, ifeq(m0(X, Y, Z), true, p1(Y, W, X), true), true) = true.
% 27.77/4.27 Axiom 40 (rule_107): ifeq(m0(e, d, X), true, ifeq(m0(X, d, X), true, q1(e, X, X), true), true) = true.
% 27.77/4.27 Axiom 41 (rule_274): ifeq(q3(e, b), true, ifeq(n3(e), true, ifeq(n0(c, d), true, k4(c), true), true), true) = true.
% 27.77/4.27 Axiom 42 (rule_003): ifeq(p0(X, Y), true, ifeq(r0(Z), true, ifeq(m0(W, Y, X), true, l1(Y, W), true), true), true) = true.
% 27.77/4.27 Axiom 43 (rule_124): ifeq(q1(d, X, d), true, ifeq(q0(Y, X), true, ifeq(s0(d), true, r1(Y), true), true), true) = true.
% 27.77/4.27 Axiom 44 (rule_201): ifeq(m2(X), true, ifeq(m2(Y), true, ifeq(p1(Z, Y, W), true, k3(W, W, Z), true), true), true) = true.
% 27.77/4.27 Axiom 45 (rule_295): ifeq(m3(X, Y, X), true, ifeq(k3(Z, Z, W), true, ifeq(q2(X, V, W), true, q4(W, V), true), true), true) = true.
% 27.77/4.27 Axiom 46 (rule_182): ifeq(q2(X, Y, Z), true, ifeq(p1(Z, Z, Y), true, ifeq(n1(X, Z, Y), true, q2(Z, X, Z), true), true), true) = true.
% 27.77/4.29 Axiom 47 (rule_307): ifeq(n5(X, Y), true, ifeq(q4(Z, W), true, ifeq(p4(X, X, Y), true, ifeq(n4(V, W), true, n5(V, Y), true), true), true), true) = true.
% 27.77/4.29
% 27.77/4.29 Goal 1 (prove_this): n5(a, e) = true.
% 27.77/4.29 Proof:
% 27.77/4.29 n5(a, e)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.29 ifeq(true, true, n5(a, e), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.29 ifeq(true, true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 21 (rule_309) R->L }
% 27.77/4.29 ifeq(ifeq(n4(e, e), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(true, true, n4(e, e), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 19 (rule_236) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(n2(e), true, m3(e, e, e), true), true, n4(e, e), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, n2(e), true), true, m3(e, e, e), true), true, n4(e, e), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 26 (rule_085) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, e), true, p1(e, e, e), true), true, n2(e), true), true, m3(e, e, e), true), true, n4(e, e), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 11 (axiom_14) }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(e, e, e), true), true, n2(e), true), true, m3(e, e, e), true), true, n4(e, e), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(p1(e, e, e), true, n2(e), true), true, m3(e, e, e), true), true, n4(e, e), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 22 (rule_137) }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(true, true, m3(e, e, e), true), true, n4(e, e), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.29 ifeq(ifeq(ifeq(m3(e, e, e), true, n4(e, e), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(true, true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 41 (rule_274) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(q3(e, b), true, ifeq(n3(e), true, ifeq(n0(c, d), true, k4(c), true), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 6 (axiom_34) }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(q3(e, b), true, ifeq(n3(e), true, ifeq(true, true, k4(c), true), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(q3(e, b), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q3(e, b), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 7 (axiom_30) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(n0(e, e), true, q3(e, b), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 25 (rule_186) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(l1(b, e), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, l1(b, e), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 1 (axiom_13) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(r0(e), true, l1(b, e), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(r0(e), true, ifeq(true, true, l1(b, e), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(r0(e), true, ifeq(true, true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 10 (axiom_18) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(c, b), true, ifeq(r0(e), true, ifeq(true, true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 14 (axiom_27) R->L }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(c, b), true, ifeq(r0(e), true, ifeq(m0(e, b, c), true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.29 = { by axiom 42 (rule_003) }
% 27.77/4.29 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.30 ifeq(ifeq(ifeq(ifeq(ifeq(q2(e, e, b), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 36 (rule_255) }
% 27.77/4.30 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.30 ifeq(ifeq(ifeq(ifeq(n3(e), true, k4(c), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.30 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, n3(e), true), true, k4(c), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 30 (rule_150) R->L }
% 27.77/4.30 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m1(e, e, e), true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.30 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(e, e, e), true), true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 1 (axiom_13) R->L }
% 27.77/4.30 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(r0(e), true, m1(e, e, e), true), true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 17 (rule_012) }
% 27.77/4.30 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.30 ifeq(ifeq(ifeq(ifeq(ifeq(p2(e, e, e), true, n3(e), true), true, k4(c), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 23 (rule_240) }
% 27.77/4.30 ifeq(ifeq(ifeq(ifeq(true, true, k4(c), true), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.30 ifeq(ifeq(ifeq(k4(c), true, ifeq(m3(e, e, e), true, n4(e, e), true), true), true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 33 (rule_284) }
% 27.77/4.30 ifeq(ifeq(true, true, n5(e, e), true), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(true, true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 28 (rule_287) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(ifeq(k3(e, e, e), true, p4(e, e, e), true), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(true, true, k3(e, e, e), true), true, p4(e, e, e), true), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 27 (rule_129) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(q1(e, e, e), true, k2(e, e), true), true, k3(e, e, e), true), true, p4(e, e, e), true), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q1(e, e, e), true), true, k2(e, e), true), true, k3(e, e, e), true), true, p4(e, e, e), true), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 12 (axiom_19) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(m0(e, d, e), true, q1(e, e, e), true), true, k2(e, e), true), true, k3(e, e, e), true), true, p4(e, e, e), true), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(m0(e, d, e), true, q1(e, e, e), true), true), true, k2(e, e), true), true, k3(e, e, e), true), true, p4(e, e, e), true), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 12 (axiom_19) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(m0(e, d, e), true, ifeq(m0(e, d, e), true, q1(e, e, e), true), true), true, k2(e, e), true), true, k3(e, e, e), true), true, p4(e, e, e), true), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 40 (rule_107) }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, k2(e, e), true), true, k3(e, e, e), true), true, p4(e, e, e), true), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(k2(e, e), true, k3(e, e, e), true), true, p4(e, e, e), true), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 24 (rule_194) }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(ifeq(true, true, p4(e, e, e), true), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, n5(a, e), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(true, true, n5(a, e), true), true), true)
% 27.77/4.30 = { by axiom 35 (rule_281) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(n4(a, a), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.30 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(true, true, n4(a, a), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.30 = { by axiom 19 (rule_236) R->L }
% 27.77/4.30 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(n2(a), true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.31 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.31 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, n2(a), true), true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.31 = { by axiom 26 (rule_085) R->L }
% 27.77/4.31 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, a), true, p1(a, a, a), true), true, n2(a), true), true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.31 = { by axiom 11 (axiom_14) }
% 27.77/4.31 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(a, a, a), true), true, n2(a), true), true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.31 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.31 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(p1(a, a, a), true, n2(a), true), true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.31 = { by axiom 22 (rule_137) }
% 27.77/4.31 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.31 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.31 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(m3(a, a, a), true, n4(a, a), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.31 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.31 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(true, true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.31 = { by axiom 41 (rule_274) R->L }
% 27.77/4.31 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(q3(e, b), true, ifeq(n3(e), true, ifeq(n0(c, d), true, k4(c), true), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.31 = { by axiom 6 (axiom_34) }
% 27.77/4.31 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(q3(e, b), true, ifeq(n3(e), true, ifeq(true, true, k4(c), true), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.31 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.32 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(q3(e, b), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.32 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.32 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q3(e, b), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.32 = { by axiom 7 (axiom_30) R->L }
% 27.77/4.32 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(n0(e, e), true, q3(e, b), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.32 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.32 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.32 = { by axiom 25 (rule_186) R->L }
% 27.77/4.32 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(l1(b, e), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.32 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.32 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, l1(b, e), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 1 (axiom_13) R->L }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(r0(e), true, l1(b, e), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(r0(e), true, ifeq(true, true, l1(b, e), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(r0(e), true, ifeq(true, true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 10 (axiom_18) R->L }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(c, b), true, ifeq(r0(e), true, ifeq(true, true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 14 (axiom_27) R->L }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(c, b), true, ifeq(r0(e), true, ifeq(m0(e, b, c), true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 42 (rule_003) }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(q2(e, e, b), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 36 (rule_255) }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(n3(e), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 30 (rule_150) R->L }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m1(e, e, e), true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(e, e, e), true), true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 1 (axiom_13) R->L }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(r0(e), true, m1(e, e, e), true), true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 17 (rule_012) }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(p2(e, e, e), true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 23 (rule_240) }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.33 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.33 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(k4(c), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 33 (rule_284) }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(true, true, ifeq(p3(a, a, a), true, n4(a, a), true), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(p3(a, a, a), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(true, true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 31 (rule_188) R->L }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(r1(a), true, ifeq(l0(a), true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 3 (axiom_20) }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(r1(a), true, ifeq(true, true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, r1(a), true), true, ifeq(true, true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 9 (axiom_17) R->L }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(q0(a, d), true, r1(a), true), true, ifeq(true, true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(q0(a, d), true, r1(a), true), true), true, ifeq(true, true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 29 (rule_122) R->L }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m0(d, d, d), true, q1(d, d, d), true), true, ifeq(q0(a, d), true, r1(a), true), true), true, ifeq(true, true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 12 (axiom_19) }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q1(d, d, d), true), true, ifeq(q0(a, d), true, r1(a), true), true), true, ifeq(true, true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(q1(d, d, d), true, ifeq(q0(a, d), true, r1(a), true), true), true, ifeq(true, true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 15 (ifeq_axiom) R->L }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(q1(d, d, d), true, ifeq(q0(a, d), true, ifeq(true, true, r1(a), true), true), true), true, ifeq(true, true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 4 (axiom_1) R->L }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(q1(d, d, d), true, ifeq(q0(a, d), true, ifeq(s0(d), true, r1(a), true), true), true), true, ifeq(true, true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 43 (rule_124) }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, r2(a), true), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, r2(a), true), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 27.77/4.34 = { by axiom 15 (ifeq_axiom) }
% 27.77/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(r2(a), true, p3(a, a, a), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.34 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(true, true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.34 = { by axiom 44 (rule_201) R->L }
% 28.41/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(p1(a, b, a), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.34 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(ifeq(true, true, p1(a, b, a), true), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.34 = { by axiom 13 (axiom_12) R->L }
% 28.41/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(ifeq(m0(a, a, a), true, p1(a, b, a), true), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.34 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.34 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(ifeq(true, true, ifeq(m0(a, a, a), true, p1(a, b, a), true), true), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 39 (rule_082) R->L }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(ifeq(ifeq(p1(a, a, a), true, ifeq(m0(a, a, a), true, p1(a, a, a), true), true), true, ifeq(m0(a, a, a), true, p1(a, b, a), true), true), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(ifeq(ifeq(ifeq(true, true, p1(a, a, a), true), true, ifeq(m0(a, a, a), true, p1(a, a, a), true), true), true, ifeq(m0(a, a, a), true, p1(a, b, a), true), true), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 3 (axiom_20) R->L }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(ifeq(ifeq(ifeq(l0(a), true, p1(a, a, a), true), true, ifeq(m0(a, a, a), true, p1(a, a, a), true), true), true, ifeq(m0(a, a, a), true, p1(a, b, a), true), true), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 20 (rule_088) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(ifeq(ifeq(true, true, ifeq(m0(a, a, a), true, p1(a, a, a), true), true), true, ifeq(m0(a, a, a), true, p1(a, b, a), true), true), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(ifeq(ifeq(m0(a, a, a), true, p1(a, a, a), true), true, ifeq(m0(a, a, a), true, p1(a, b, a), true), true), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 13 (axiom_12) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(ifeq(ifeq(true, true, p1(a, a, a), true), true, ifeq(m0(a, a, a), true, p1(a, b, a), true), true), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(ifeq(p1(a, a, a), true, ifeq(m0(a, a, a), true, p1(a, b, a), true), true), true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 39 (rule_082) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, ifeq(true, true, k3(a, a, a), true), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, ifeq(m2(b), true, k3(a, a, a), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m2(b), true), true, ifeq(m2(b), true, k3(a, a, a), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 18 (rule_001) R->L }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(n0(a, b), true, k1(b), true), true, m2(b), true), true, ifeq(m2(b), true, k3(a, a, a), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 5 (axiom_15) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, k1(b), true), true, m2(b), true), true, ifeq(m2(b), true, k3(a, a, a), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(k1(b), true, m2(b), true), true, ifeq(m2(b), true, k3(a, a, a), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 16 (rule_136) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(m2(b), true, k3(a, a, a), true), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m2(b), true, k3(a, a, a), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m2(b), true), true, k3(a, a, a), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 18 (rule_001) R->L }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(n0(a, b), true, k1(b), true), true, m2(b), true), true, k3(a, a, a), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 5 (axiom_15) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, k1(b), true), true, m2(b), true), true, k3(a, a, a), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(k1(b), true, m2(b), true), true, k3(a, a, a), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 16 (rule_136) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, k3(a, a, a), true), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(ifeq(k3(a, a, a), true, ifeq(r2(a), true, p3(a, a, a), true), true), true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 37 (rule_242) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(ifeq(true, true, n4(a, a), true), true, n5(a, e), true), true), true)
% 28.41/4.35 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.35 ifeq(n5(e, e), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(true, true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 45 (rule_295) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(k3(e, e, e), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(ifeq(true, true, k3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 27 (rule_129) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(ifeq(ifeq(q1(e, e, e), true, k2(e, e), true), true, k3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, q1(e, e, e), true), true, k2(e, e), true), true, k3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 12 (axiom_19) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m0(e, d, e), true, q1(e, e, e), true), true, k2(e, e), true), true, k3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(m0(e, d, e), true, q1(e, e, e), true), true), true, k2(e, e), true), true, k3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 12 (axiom_19) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(ifeq(ifeq(ifeq(m0(e, d, e), true, ifeq(m0(e, d, e), true, q1(e, e, e), true), true), true, k2(e, e), true), true, k3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 40 (rule_107) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(ifeq(ifeq(true, true, k2(e, e), true), true, k3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(ifeq(k2(e, e), true, k3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 24 (rule_194) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(true, true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(m3(e, e, e), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(true, true, m3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 22 (rule_137) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(p1(e, e, e), true, n2(e), true), true, m3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(e, e, e), true), true, n2(e), true), true, m3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 11 (axiom_14) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, e), true, p1(e, e, e), true), true, n2(e), true), true, m3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 26 (rule_085) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, n2(e), true), true, m3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(n2(e), true, m3(e, e, e), true), true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 19 (rule_236) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(true, true, ifeq(q2(e, a, e), true, q4(e, a), true), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(q2(e, a, e), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(true, true, q2(e, a, e), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, q2(e, a, e), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 32 (rule_090) R->L }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(k0(e), true, ifeq(r0(e), true, p1(e, e, e), true), true), true, ifeq(true, true, q2(e, a, e), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 2 (axiom_28) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(r0(e), true, p1(e, e, e), true), true), true, ifeq(true, true, q2(e, a, e), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(r0(e), true, p1(e, e, e), true), true, ifeq(true, true, q2(e, a, e), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 1 (axiom_13) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, p1(e, e, e), true), true, ifeq(true, true, q2(e, a, e), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.36 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.36 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, a, e), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(true, true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 38 (rule_177) R->L }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(p1(a, a, a), true, ifeq(k0(e), true, q2(a, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(a, a, a), true), true, ifeq(k0(e), true, q2(a, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 3 (axiom_20) R->L }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(ifeq(l0(a), true, p1(a, a, a), true), true, ifeq(k0(e), true, q2(a, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 20 (rule_088) }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(k0(e), true, q2(a, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(k0(e), true, q2(a, e, e), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 2 (axiom_28) }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, q2(a, e, e), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(q2(a, e, e), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 34 (rule_040) R->L }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(q2(a, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(k1(a), true, ifeq(m0(a, d, e), true, n1(a, e, e), true), true), true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 12 (axiom_19) }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(q2(a, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(k1(a), true, ifeq(true, true, n1(a, e, e), true), true), true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(q2(a, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(k1(a), true, n1(a, e, e), true), true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 15 (ifeq_axiom) R->L }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(q2(a, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(ifeq(true, true, k1(a), true), true, n1(a, e, e), true), true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 8 (axiom_37) R->L }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(q2(a, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(ifeq(n0(b, a), true, k1(a), true), true, n1(a, e, e), true), true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 18 (rule_001) }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(q2(a, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(true, true, n1(a, e, e), true), true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(ifeq(q2(a, e, e), true, ifeq(p1(e, e, e), true, ifeq(n1(a, e, e), true, q2(e, a, e), true), true), true), true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 46 (rule_182) }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(ifeq(true, true, q4(e, a), true), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 15 (ifeq_axiom) }
% 28.41/4.37 ifeq(n5(e, e), true, ifeq(q4(e, a), true, ifeq(p4(e, e, e), true, ifeq(n4(a, a), true, n5(a, e), true), true), true), true)
% 28.41/4.37 = { by axiom 47 (rule_307) }
% 28.41/4.37 true
% 28.41/4.37 % SZS output end Proof
% 28.41/4.37
% 28.41/4.37 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------