%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN128-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 19.49s 2.82s
% Output : Proof 18.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN128-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:37:09 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.49/2.82 Command-line arguments: --no-flatten-goal
% 19.49/2.82
% 19.49/2.82 % SZS status Unsatisfiable
% 19.49/2.82
% 19.49/2.93 % SZS output start Proof
% 19.49/2.93 Axiom 1 (axiom_24): l0(c) = true.
% 19.49/2.93 Axiom 2 (axiom_1): s0(d) = true.
% 19.49/2.93 Axiom 3 (axiom_5): s0(b) = true.
% 19.49/2.93 Axiom 4 (axiom_34): n0(c, d) = true.
% 19.49/2.93 Axiom 5 (axiom_26): n0(d, c) = true.
% 19.49/2.93 Axiom 6 (axiom_17): q0(X, d) = true.
% 19.49/2.93 Axiom 7 (axiom_14): p0(b, X) = true.
% 19.49/2.93 Axiom 8 (axiom_19): m0(X, d, Y) = true.
% 19.49/2.93 Axiom 9 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 19.49/2.93 Axiom 10 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 19.49/2.93 Axiom 11 (rule_125): ifeq(p0(X, X), true, s1(X), true) = true.
% 19.49/2.93 Axiom 12 (rule_244): ifeq(n2(X), true, p3(X, X, X), true) = true.
% 19.49/2.93 Axiom 13 (rule_277): ifeq(p3(X, Y, Z), true, l4(Z), true) = true.
% 19.49/2.93 Axiom 14 (rule_137): ifeq(p1(X, Y, Z), true, n2(Z), true) = true.
% 19.49/2.93 Axiom 15 (rule_194): ifeq(k2(X, Y), true, k3(Y, Y, X), true) = true.
% 19.49/2.93 Axiom 16 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 19.49/2.93 Axiom 17 (rule_129): ifeq(q1(X, Y, Y), true, k2(Y, Y), true) = true.
% 19.49/2.93 Axiom 18 (rule_122): ifeq(m0(X, Y, X), true, q1(X, X, X), true) = true.
% 19.49/2.93 Axiom 19 (rule_190): ifeq(s1(a), true, ifeq(s0(d), true, s2(d), true), true) = true.
% 19.49/2.93 Axiom 20 (rule_126): ifeq(s1(X), true, ifeq(q0(Y, Z), true, s1(Y), true), true) = true.
% 19.49/2.93 Axiom 21 (rule_302): ifeq(q4(X, X), true, ifeq(k1(Y), true, l5(Y), true), true) = true.
% 19.49/2.93 Axiom 22 (rule_029): ifeq(p0(X, Y), true, ifeq(s0(X), true, m1(X, Y, X), true), true) = true.
% 19.49/2.93 Axiom 23 (rule_107): ifeq(m0(e, d, X), true, ifeq(m0(X, d, X), true, q1(e, X, X), true), true) = true.
% 19.49/2.93 Axiom 24 (rule_296): ifeq(q4(X, Y), true, ifeq(l4(X), true, ifeq(r1(Z), true, q4(Z, Z), true), true), true) = true.
% 19.49/2.93 Axiom 25 (rule_183): ifeq(l2(X, Y), true, ifeq(k1(X), true, ifeq(l0(c), true, q2(Y, c, X), true), true), true) = true.
% 19.49/2.93 Axiom 26 (rule_124): ifeq(q1(d, X, d), true, ifeq(q0(Y, X), true, ifeq(s0(d), true, r1(Y), true), true), true) = true.
% 19.49/2.93 Axiom 27 (rule_134): ifeq(m1(X, Y, Y), true, ifeq(p0(Y, Z), true, ifeq(m0(Y, Z, X), true, l2(Z, Z), true), true), true) = true.
% 19.49/2.93 Axiom 28 (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.
% 19.49/2.93 Axiom 29 (rule_225): ifeq(s2(X), true, ifeq(l2(Y, Z), true, ifeq(m0(X, X, W), true, ifeq(m0(Z, Y, Y), true, m3(Z, W, Z), true), true), true), true) = true.
% 19.49/2.93
% 19.49/2.93 Goal 1 (prove_this): l5(c) = true.
% 19.49/2.93 Proof:
% 19.49/2.93 l5(c)
% 19.49/2.93 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.93 ifeq(true, true, l5(c), true)
% 19.49/2.93 = { by axiom 24 (rule_296) R->L }
% 19.49/2.93 ifeq(ifeq(q4(d, c), true, ifeq(l4(d), true, ifeq(r1(X), true, q4(X, X), true), true), true), true, l5(c), true)
% 19.49/2.93 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.93 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(true, true, l4(d), true), true, ifeq(r1(X), true, q4(X, X), true), true), true), true, l5(c), true)
% 19.49/2.93 = { by axiom 12 (rule_244) R->L }
% 19.49/2.93 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(ifeq(n2(d), true, p3(d, d, d), true), true, l4(d), true), true, ifeq(r1(X), true, q4(X, X), true), true), true), true, l5(c), true)
% 19.49/2.93 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.93 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(ifeq(ifeq(true, true, n2(d), true), true, p3(d, d, d), true), true, l4(d), true), true, ifeq(r1(X), true, q4(X, X), true), true), true), true, l5(c), true)
% 19.49/2.93 = { by axiom 16 (rule_085) R->L }
% 19.49/2.93 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, d), true, p1(d, d, d), true), true, n2(d), true), true, p3(d, d, d), true), true, l4(d), true), true, ifeq(r1(X), true, q4(X, X), true), true), true), true, l5(c), true)
% 19.49/2.93 = { by axiom 7 (axiom_14) }
% 19.49/2.93 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(d, d, d), true), true, n2(d), true), true, p3(d, d, d), true), true, l4(d), true), true, ifeq(r1(X), true, q4(X, X), true), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(ifeq(ifeq(p1(d, d, d), true, n2(d), true), true, p3(d, d, d), true), true, l4(d), true), true, ifeq(r1(X), true, q4(X, X), true), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 14 (rule_137) }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(ifeq(true, true, p3(d, d, d), true), true, l4(d), true), true, ifeq(r1(X), true, q4(X, X), true), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(p3(d, d, d), true, l4(d), true), true, ifeq(r1(X), true, q4(X, X), true), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 13 (rule_277) }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(true, true, ifeq(r1(X), true, q4(X, X), true), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(r1(X), true, q4(X, X), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(true, true, r1(X), true), true, q4(X, X), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 6 (axiom_17) R->L }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(q0(X, d), true, r1(X), true), true, q4(X, X), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(true, true, ifeq(q0(X, d), true, r1(X), true), true), true, q4(X, X), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 18 (rule_122) R->L }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(ifeq(m0(d, d, d), true, q1(d, d, d), true), true, ifeq(q0(X, d), true, r1(X), true), true), true, q4(X, X), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 8 (axiom_19) }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(ifeq(true, true, q1(d, d, d), true), true, ifeq(q0(X, d), true, r1(X), true), true), true, q4(X, X), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(q1(d, d, d), true, ifeq(q0(X, d), true, r1(X), true), true), true, q4(X, X), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(q1(d, d, d), true, ifeq(q0(X, d), true, ifeq(true, true, r1(X), true), true), true), true, q4(X, X), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 2 (axiom_1) R->L }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(ifeq(q1(d, d, d), true, ifeq(q0(X, d), true, ifeq(s0(d), true, r1(X), true), true), true), true, q4(X, X), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 26 (rule_124) }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, ifeq(true, true, q4(X, X), true), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.94 ifeq(ifeq(q4(d, c), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.94 ifeq(ifeq(ifeq(true, true, q4(d, c), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.94 ifeq(ifeq(ifeq(true, true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 29 (rule_225) R->L }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(l2(d, d), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(ifeq(true, true, l2(d, d), true), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 8 (axiom_19) R->L }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(ifeq(m0(b, d, b), true, l2(d, d), true), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(ifeq(true, true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 7 (axiom_14) R->L }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(ifeq(true, true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 22 (rule_029) R->L }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(ifeq(ifeq(p0(b, b), true, ifeq(s0(b), true, m1(b, b, b), true), true), true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 3 (axiom_5) }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(ifeq(ifeq(p0(b, b), true, ifeq(true, true, m1(b, b, b), true), true), true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 7 (axiom_14) }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, m1(b, b, b), true), true), true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(ifeq(ifeq(true, true, m1(b, b, b), true), true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(ifeq(m1(b, b, b), true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 27 (rule_134) }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(true, true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.94 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.94 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(m0(d, d, Y), true, ifeq(m0(d, d, d), true, m3(d, Y, d), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 8 (axiom_19) }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(m0(d, d, Y), true, ifeq(true, true, m3(d, Y, d), true), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(m0(d, d, Y), true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 8 (axiom_19) }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(s2(d), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, s2(d), true), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 20 (rule_126) R->L }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(s1(b), true, ifeq(q0(a, d), true, s1(a), true), true), true, s2(d), true), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 6 (axiom_17) }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(s1(b), true, ifeq(true, true, s1(a), true), true), true, s2(d), true), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(s1(b), true, s1(a), true), true, s2(d), true), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, s1(b), true), true, s1(a), true), true, s2(d), true), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 7 (axiom_14) R->L }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, b), true, s1(b), true), true, s1(a), true), true, s2(d), true), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 11 (rule_125) }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, s1(a), true), true, s2(d), true), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 9 (ifeq_axiom) }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(ifeq(s1(a), true, s2(d), true), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 9 (ifeq_axiom) R->L }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(ifeq(s1(a), true, ifeq(true, true, s2(d), true), true), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 19.49/2.95 = { by axiom 2 (axiom_1) R->L }
% 19.49/2.95 ifeq(ifeq(ifeq(ifeq(ifeq(s1(a), true, ifeq(s0(d), true, s2(d), true), true), true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 19 (rule_190) }
% 18.68/2.95 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, m3(d, Y, d), true), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.95 ifeq(ifeq(ifeq(ifeq(true, true, m3(d, Y, d), true), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(true, true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 25 (rule_183) R->L }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(l2(d, d), true, ifeq(k1(d), true, ifeq(l0(c), true, q2(d, c, d), true), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 1 (axiom_24) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(l2(d, d), true, ifeq(k1(d), true, ifeq(true, true, q2(d, c, d), true), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(l2(d, d), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) R->L }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(true, true, l2(d, d), true), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 8 (axiom_19) R->L }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(m0(b, d, b), true, l2(d, d), true), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) R->L }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(true, true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 7 (axiom_14) R->L }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) R->L }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(true, true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 22 (rule_029) R->L }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(ifeq(p0(b, b), true, ifeq(s0(b), true, m1(b, b, b), true), true), true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 3 (axiom_5) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(ifeq(p0(b, b), true, ifeq(true, true, m1(b, b, b), true), true), true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 7 (axiom_14) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, m1(b, b, b), true), true), true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(ifeq(true, true, m1(b, b, b), true), true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(m1(b, b, b), true, ifeq(p0(b, d), true, ifeq(m0(b, d, b), true, l2(d, d), true), true), true), true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 27 (rule_134) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(true, true, ifeq(k1(d), true, q2(d, c, d), true), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(k1(d), true, q2(d, c, d), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) R->L }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(true, true, k1(d), true), true, q2(d, c, d), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 4 (axiom_34) R->L }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(n0(c, d), true, k1(d), true), true, q2(d, c, d), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 10 (rule_001) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(true, true, q2(d, c, d), true), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.95 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.95 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(q2(d, c, d), true, q4(d, c), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 9 (ifeq_axiom) R->L }
% 18.68/2.96 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(true, true, ifeq(q2(d, c, d), true, q4(d, c), true), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 15 (rule_194) R->L }
% 18.68/2.96 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(k2(d, d), true, k3(d, d, d), true), true, ifeq(q2(d, c, d), true, q4(d, c), true), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 9 (ifeq_axiom) R->L }
% 18.68/2.96 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(true, true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(q2(d, c, d), true, q4(d, c), true), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 23 (rule_107) R->L }
% 18.68/2.96 ifeq(ifeq(ifeq(m3(d, Y, d), true, 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(q2(d, c, d), true, q4(d, c), true), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 8 (axiom_19) }
% 18.68/2.96 ifeq(ifeq(ifeq(m3(d, Y, d), true, 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(q2(d, c, d), true, q4(d, c), true), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.96 ifeq(ifeq(ifeq(m3(d, Y, d), true, 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(q2(d, c, d), true, q4(d, c), true), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 8 (axiom_19) }
% 18.68/2.96 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(ifeq(true, true, q1(e, d, d), true), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(q2(d, c, d), true, q4(d, c), true), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.96 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(ifeq(q1(e, d, d), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(q2(d, c, d), true, q4(d, c), true), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 17 (rule_129) }
% 18.68/2.96 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(ifeq(true, true, k3(d, d, d), true), true, ifeq(q2(d, c, d), true, q4(d, c), true), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.96 ifeq(ifeq(ifeq(m3(d, Y, d), true, ifeq(k3(d, d, d), true, ifeq(q2(d, c, d), true, q4(d, c), true), true), true), true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 28 (rule_295) }
% 18.68/2.96 ifeq(ifeq(true, true, q4(X, X), true), true, l5(c), true)
% 18.68/2.96 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.96 ifeq(q4(X, X), true, l5(c), true)
% 18.68/2.96 = { by axiom 9 (ifeq_axiom) R->L }
% 18.68/2.96 ifeq(q4(X, X), true, ifeq(true, true, l5(c), true), true)
% 18.68/2.96 = { by axiom 10 (rule_001) R->L }
% 18.68/2.96 ifeq(q4(X, X), true, ifeq(ifeq(n0(d, c), true, k1(c), true), true, l5(c), true), true)
% 18.68/2.96 = { by axiom 5 (axiom_26) }
% 18.68/2.96 ifeq(q4(X, X), true, ifeq(ifeq(true, true, k1(c), true), true, l5(c), true), true)
% 18.68/2.96 = { by axiom 9 (ifeq_axiom) }
% 18.68/2.96 ifeq(q4(X, X), true, ifeq(k1(c), true, l5(c), true), true)
% 18.68/2.96 = { by axiom 21 (rule_302) }
% 18.68/2.96 true
% 18.68/2.96 % SZS output end Proof
% 18.68/2.96
% 18.68/2.96 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------