%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN129-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 01:47:08 PM UTC 2026
% Result : Unsatisfiable 19.61s 2.76s
% Output : Proof 20.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN129-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n010.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 15:36:47 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.61/2.76 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 19.61/2.76
% 19.61/2.76 % SZS status Unsatisfiable
% 19.61/2.76
% 20.44/2.84 % SZS output start Proof
% 20.44/2.84 Axiom 1 (axiom_5): s0(b) = true.
% 20.44/2.84 Axiom 2 (axiom_32): k0(b) = true.
% 20.44/2.84 Axiom 3 (axiom_14): p0(b, X) = true.
% 20.44/2.84 Axiom 4 (axiom_17): q0(X, d) = true.
% 20.44/2.84 Axiom 5 (axiom_6): q0(b, b) = true.
% 20.44/2.84 Axiom 6 (axiom_11): n0(e, b) = true.
% 20.44/2.84 Axiom 7 (axiom_30): n0(e, e) = true.
% 20.44/2.84 Axiom 8 (axiom_34): n0(c, d) = true.
% 20.44/2.84 Axiom 9 (axiom_19): m0(X, d, Y) = true.
% 20.44/2.84 Axiom 10 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 20.44/2.84 Axiom 11 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 20.44/2.84 Axiom 12 (rule_236): ifeq(n2(X), true, m3(X, X, X), true) = true.
% 20.44/2.84 Axiom 13 (rule_137): ifeq(p1(X, Y, Z), true, n2(Z), true) = true.
% 20.44/2.84 Axiom 14 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 20.44/2.84 Axiom 15 (rule_194): ifeq(k2(X, Y), true, k3(Y, Y, X), true) = true.
% 20.44/2.84 Axiom 16 (rule_129): ifeq(q1(X, Y, Y), true, k2(Y, Y), true) = true.
% 20.44/2.84 Axiom 17 (rule_005): ifeq(m0(X, X, Y), true, m1(Y, X, Y), true) = true.
% 20.44/2.84 Axiom 18 (rule_302): ifeq(q4(X, X), true, ifeq(k1(Y), true, l5(Y), true), true) = true.
% 20.44/2.84 Axiom 19 (rule_029): ifeq(p0(X, Y), true, ifeq(s0(X), true, m1(X, Y, X), true), true) = true.
% 20.44/2.84 Axiom 20 (rule_177): ifeq(p1(X, X, X), true, ifeq(k0(Y), true, q2(X, Y, Y), true), true) = true.
% 20.44/2.84 Axiom 21 (rule_107): ifeq(m0(e, d, X), true, ifeq(m0(X, d, X), true, q1(e, X, X), true), true) = true.
% 20.44/2.84 Axiom 22 (rule_127): ifeq(k2(X, Y), true, ifeq(m1(Z, Y, W), true, ifeq(k1(X), true, k2(W, Y), true), true), true) = true.
% 20.44/2.84 Axiom 23 (rule_202): ifeq(k3(X, Y, Z), true, ifeq(k2(W, Z), true, ifeq(q0(V, X), true, k3(W, W, X), true), true), true) = true.
% 20.44/2.84 Axiom 24 (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.
% 20.44/2.84
% 20.44/2.84 Goal 1 (prove_this): l5(e) = true.
% 20.44/2.84 Proof:
% 20.44/2.84 l5(e)
% 20.44/2.84 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.84 ifeq(true, true, l5(e), true)
% 20.44/2.84 = { by axiom 24 (rule_295) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(k3(Y, Y, b), true, ifeq(q2(X, b, b), true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(k3(Y, Y, b), true, ifeq(ifeq(true, true, q2(X, b, b), true), true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(k3(Y, Y, b), true, ifeq(ifeq(true, true, ifeq(true, true, q2(X, b, b), true), true), true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 14 (rule_085) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(k3(Y, Y, b), true, ifeq(ifeq(ifeq(p0(b, X), true, p1(X, X, X), true), true, ifeq(true, true, q2(X, b, b), true), true), true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 3 (axiom_14) }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(k3(Y, Y, b), true, ifeq(ifeq(ifeq(true, true, p1(X, X, X), true), true, ifeq(true, true, q2(X, b, b), true), true), true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(k3(Y, Y, b), true, ifeq(ifeq(p1(X, X, X), true, ifeq(true, true, q2(X, b, b), true), true), true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 2 (axiom_32) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(k3(Y, Y, b), true, ifeq(ifeq(p1(X, X, X), true, ifeq(k0(b), true, q2(X, b, b), true), true), true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 20 (rule_177) }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(k3(Y, Y, b), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(true, true, k3(Y, Y, b), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 5 (axiom_6) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(q0(b, b), true, k3(Y, Y, b), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(true, true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 22 (rule_127) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k2(b, d), true, ifeq(m1(Y, d, Y), true, ifeq(k1(b), true, k2(Y, d), true), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k2(b, d), true, ifeq(ifeq(true, true, m1(Y, d, Y), true), true, ifeq(k1(b), true, k2(Y, d), true), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 9 (axiom_19) R->L }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k2(b, d), true, ifeq(ifeq(m0(d, d, Y), true, m1(Y, d, Y), true), true, ifeq(k1(b), true, k2(Y, d), true), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 17 (rule_005) }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k2(b, d), true, ifeq(true, true, ifeq(k1(b), true, k2(Y, d), true), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.84 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.84 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k2(b, d), true, ifeq(k1(b), true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k2(b, d), true, ifeq(ifeq(true, true, k1(b), true), true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 6 (axiom_11) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k2(b, d), true, ifeq(ifeq(n0(e, b), true, k1(b), true), true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 11 (rule_001) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k2(b, d), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(true, true, k2(b, d), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 11 (rule_001) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(n0(c, d), true, k1(d), true), true, k2(b, d), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 8 (axiom_34) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, k1(d), true), true, k2(b, d), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k1(d), true, k2(b, d), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 16 (rule_129) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(q1(e, d, d), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q1(e, d, d), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 9 (axiom_19) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m0(d, d, d), true, q1(e, d, d), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(m0(d, d, d), true, q1(e, d, d), true), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 9 (axiom_19) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m0(e, d, d), true, ifeq(m0(d, d, d), true, q1(e, d, d), true), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 21 (rule_107) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(true, true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 19 (rule_029) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(p0(b, d), true, ifeq(s0(b), true, m1(b, d, b), true), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 1 (axiom_5) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(p0(b, d), true, ifeq(true, true, m1(b, d, b), true), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 3 (axiom_14) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(true, true, ifeq(true, true, m1(b, d, b), true), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(true, true, m1(b, d, b), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(m1(b, d, b), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 22 (rule_127) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, k2(Y, d), true), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(true, true, k2(Y, d), true), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(true, true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 23 (rule_202) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k3(d, d, d), true, ifeq(k2(b, d), true, ifeq(q0(Z, d), true, k3(b, b, d), true), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 4 (axiom_17) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k3(d, d, d), true, ifeq(k2(b, d), true, ifeq(true, true, k3(b, b, d), true), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k3(d, d, d), true, ifeq(k2(b, d), true, k3(b, b, d), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.85 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(true, true, k3(d, d, d), true), true, ifeq(k2(b, d), true, k3(b, b, d), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.85 = { by axiom 16 (rule_129) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(q1(e, d, d), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(k2(b, d), true, k3(b, b, d), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q1(e, d, d), true), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(k2(b, d), true, k3(b, b, d), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 9 (axiom_19) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m0(d, d, d), true, q1(e, d, d), true), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(k2(b, d), true, k3(b, b, d), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(m0(d, d, d), true, q1(e, d, d), true), true), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(k2(b, d), true, k3(b, b, d), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 9 (axiom_19) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m0(e, d, d), true, ifeq(m0(d, d, d), true, q1(e, d, d), true), true), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(k2(b, d), true, k3(b, b, d), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 21 (rule_107) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(k2(b, d), true, k3(b, b, d), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(d, d), true, k3(d, d, d), true), true, ifeq(k2(b, d), true, k3(b, b, d), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 15 (rule_194) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(true, true, ifeq(k2(b, d), true, k3(b, b, d), true), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(k2(b, d), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(true, true, k2(b, d), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 22 (rule_127) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(m1(b, d, b), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(true, true, m1(b, d, b), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(true, true, ifeq(true, true, m1(b, d, b), true), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 3 (axiom_14) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(p0(b, d), true, ifeq(true, true, m1(b, d, b), true), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 1 (axiom_5) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(p0(b, d), true, ifeq(s0(b), true, m1(b, d, b), true), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 19 (rule_029) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(true, true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 21 (rule_107) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m0(e, d, d), true, ifeq(m0(d, d, d), true, q1(e, d, d), true), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 9 (axiom_19) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(m0(d, d, d), true, q1(e, d, d), true), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m0(d, d, d), true, q1(e, d, d), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 9 (axiom_19) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q1(e, d, d), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q1(e, d, d), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 16 (rule_129) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(k1(d), true, k2(b, d), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.86 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, k1(d), true), true, k2(b, d), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.86 = { by axiom 8 (axiom_34) R->L }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(n0(c, d), true, k1(d), true), true, k2(b, d), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 11 (rule_001) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, k2(b, d), true), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(b, d), true, ifeq(true, true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 11 (rule_001) R->L }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(b, d), true, ifeq(ifeq(n0(e, b), true, k1(b), true), true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 6 (axiom_11) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(b, d), true, ifeq(ifeq(true, true, k1(b), true), true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(b, d), true, ifeq(k1(b), true, k2(b, d), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(b, d), true, ifeq(true, true, ifeq(k1(b), true, k2(b, d), true), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 17 (rule_005) R->L }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(b, d), true, ifeq(ifeq(m0(d, d, b), true, m1(b, d, b), true), true, ifeq(k1(b), true, k2(b, d), true), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 9 (axiom_19) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(b, d), true, ifeq(ifeq(true, true, m1(b, d, b), true), true, ifeq(k1(b), true, k2(b, d), true), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(ifeq(k2(b, d), true, ifeq(m1(b, d, b), true, ifeq(k1(b), true, k2(b, d), true), true), true), true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 22 (rule_127) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(ifeq(true, true, k3(b, b, d), true), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(ifeq(k3(b, b, d), true, ifeq(k2(Y, d), true, ifeq(q0(b, b), true, k3(Y, Y, b), true), true), true), true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 23 (rule_202) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(true, true, ifeq(true, true, q4(b, b), true), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, ifeq(true, true, q4(b, b), true), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.87 ifeq(ifeq(m3(X, X, X), true, q4(b, b), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.87 ifeq(ifeq(ifeq(true, true, m3(X, X, X), true), true, q4(b, b), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 13 (rule_137) R->L }
% 20.44/2.87 ifeq(ifeq(ifeq(ifeq(p1(X, X, X), true, n2(X), true), true, m3(X, X, X), true), true, q4(b, b), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.87 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(X, X, X), true), true, n2(X), true), true, m3(X, X, X), true), true, q4(b, b), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 3 (axiom_14) R->L }
% 20.44/2.87 ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, X), true, p1(X, X, X), true), true, n2(X), true), true, m3(X, X, X), true), true, q4(b, b), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 14 (rule_085) }
% 20.44/2.87 ifeq(ifeq(ifeq(ifeq(true, true, n2(X), true), true, m3(X, X, X), true), true, q4(b, b), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.87 ifeq(ifeq(ifeq(n2(X), true, m3(X, X, X), true), true, q4(b, b), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 12 (rule_236) }
% 20.44/2.87 ifeq(ifeq(true, true, q4(b, b), true), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.87 ifeq(q4(b, b), true, l5(e), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) R->L }
% 20.44/2.87 ifeq(q4(b, b), true, ifeq(true, true, l5(e), true), true)
% 20.44/2.87 = { by axiom 11 (rule_001) R->L }
% 20.44/2.87 ifeq(q4(b, b), true, ifeq(ifeq(n0(e, e), true, k1(e), true), true, l5(e), true), true)
% 20.44/2.87 = { by axiom 7 (axiom_30) }
% 20.44/2.87 ifeq(q4(b, b), true, ifeq(ifeq(true, true, k1(e), true), true, l5(e), true), true)
% 20.44/2.87 = { by axiom 10 (ifeq_axiom) }
% 20.44/2.87 ifeq(q4(b, b), true, ifeq(k1(e), true, l5(e), true), true)
% 20.44/2.87 = { by axiom 18 (rule_302) }
% 20.44/2.87 true
% 20.44/2.87 % SZS output end Proof
% 20.44/2.87
% 20.44/2.87 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------