%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN137-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 01:47:09 PM UTC 2026
% Result : Unsatisfiable 7.30s 1.20s
% Output : Proof 7.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN137-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n004.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 15:36:22 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.30/1.20 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 7.30/1.20
% 7.30/1.20 % SZS status Unsatisfiable
% 7.30/1.20
% 7.55/1.27 % SZS output start Proof
% 7.55/1.27 Axiom 1 (axiom_5): s0(b) = true.
% 7.55/1.27 Axiom 2 (axiom_24): l0(c) = true.
% 7.55/1.27 Axiom 3 (axiom_32): k0(b) = true.
% 7.55/1.27 Axiom 4 (axiom_14): p0(b, X) = true.
% 7.55/1.27 Axiom 5 (axiom_17): q0(X, d) = true.
% 7.55/1.27 Axiom 6 (axiom_11): n0(e, b) = true.
% 7.55/1.27 Axiom 7 (axiom_30): n0(e, e) = true.
% 7.55/1.27 Axiom 8 (axiom_26): n0(d, c) = true.
% 7.55/1.27 Axiom 9 (axiom_31): m0(b, b, e) = true.
% 7.55/1.27 Axiom 10 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 7.55/1.27 Axiom 11 (rule_125): ifeq(p0(X, X), true, s1(X), true) = true.
% 7.55/1.27 Axiom 12 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 7.55/1.27 Axiom 13 (rule_126): ifeq(s1(X), true, ifeq(q0(Y, Z), true, s1(Y), true), true) = true.
% 7.55/1.27 Axiom 14 (rule_189): ifeq(q2(b, X, b), true, ifeq(s1(b), true, s2(X), true), true) = true.
% 7.55/1.27 Axiom 15 (rule_011): ifeq(k0(X), true, ifeq(n0(Y, Y), true, m1(X, X, Y), true), true) = true.
% 7.55/1.27 Axiom 16 (rule_029): ifeq(p0(X, Y), true, ifeq(s0(X), true, m1(X, Y, X), true), true) = true.
% 7.55/1.27 Axiom 17 (rule_237): ifeq(s2(c), true, ifeq(q2(X, c, c), true, m3(X, c, X), true), true) = true.
% 7.55/1.27 Axiom 18 (rule_016): ifeq(m1(X, Y, Z), true, ifeq(m1(X, Z, W), true, m1(W, Z, Z), true), true) = true.
% 7.55/1.27 Axiom 19 (rule_131): ifeq(l2(X, X), true, ifeq(s1(Y), true, ifeq(n0(e, X), true, l2(Y, X), true), true), true) = true.
% 7.55/1.27 Axiom 20 (rule_183): ifeq(l2(X, Y), true, ifeq(k1(X), true, ifeq(l0(c), true, q2(Y, c, X), true), true), true) = true.
% 7.55/1.27 Axiom 21 (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.
% 7.55/1.27
% 7.55/1.27 Goal 1 (prove_this): m3(b, c, b) = true.
% 7.55/1.27 Proof:
% 7.55/1.27 m3(b, c, b)
% 7.55/1.27 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.27 ifeq(true, true, m3(b, c, b), true)
% 7.55/1.27 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.27 ifeq(true, true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 14 (rule_189) R->L }
% 7.55/1.27 ifeq(ifeq(q2(b, c, b), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.27 ifeq(ifeq(ifeq(true, true, q2(b, c, b), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 12 (rule_001) R->L }
% 7.55/1.27 ifeq(ifeq(ifeq(ifeq(n0(e, b), true, k1(b), true), true, q2(b, c, b), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 6 (axiom_11) }
% 7.55/1.27 ifeq(ifeq(ifeq(ifeq(true, true, k1(b), true), true, q2(b, c, b), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.27 ifeq(ifeq(ifeq(k1(b), true, q2(b, c, b), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.27 ifeq(ifeq(ifeq(true, true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 21 (rule_134) R->L }
% 7.55/1.27 ifeq(ifeq(ifeq(ifeq(m1(e, b, b), true, ifeq(p0(b, b), true, ifeq(m0(b, b, e), true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 9 (axiom_31) }
% 7.55/1.27 ifeq(ifeq(ifeq(ifeq(m1(e, b, b), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.27 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(e, b, b), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.27 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 16 (rule_029) R->L }
% 7.55/1.27 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, X), true, ifeq(s0(b), true, m1(b, X, b), true), true), true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.27 = { by axiom 1 (axiom_5) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, X), true, ifeq(true, true, m1(b, X, b), true), true), true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 4 (axiom_14) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, m1(b, X, b), true), true), true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(b, X, b), true), true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, X, b), true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 15 (rule_011) R->L }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, X, b), true, ifeq(ifeq(k0(b), true, ifeq(n0(e, e), true, m1(b, b, e), true), true), true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 7 (axiom_30) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, X, b), true, ifeq(ifeq(k0(b), true, ifeq(true, true, m1(b, b, e), true), true), true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, X, b), true, ifeq(ifeq(k0(b), true, m1(b, b, e), true), true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 3 (axiom_32) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, X, b), true, ifeq(ifeq(true, true, m1(b, b, e), true), true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, X, b), true, ifeq(m1(b, b, e), true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 18 (rule_016) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 4 (axiom_14) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, l2(b, b), true), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(ifeq(ifeq(ifeq(true, true, l2(b, b), true), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(ifeq(ifeq(l2(b, b), true, ifeq(k1(b), true, q2(b, c, b), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.28 ifeq(ifeq(ifeq(l2(b, b), true, ifeq(k1(b), true, ifeq(true, true, q2(b, c, b), true), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 2 (axiom_24) R->L }
% 7.55/1.28 ifeq(ifeq(ifeq(l2(b, b), true, ifeq(k1(b), true, ifeq(l0(c), true, q2(b, c, b), true), true), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 20 (rule_183) }
% 7.55/1.28 ifeq(ifeq(true, true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(ifeq(s1(b), true, s2(c), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.28 ifeq(ifeq(ifeq(true, true, s1(b), true), true, s2(c), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 4 (axiom_14) R->L }
% 7.55/1.28 ifeq(ifeq(ifeq(p0(b, b), true, s1(b), true), true, s2(c), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 11 (rule_125) }
% 7.55/1.28 ifeq(ifeq(true, true, s2(c), true), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(s2(c), true, ifeq(true, true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 20 (rule_183) R->L }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(l2(c, b), true, ifeq(k1(c), true, ifeq(l0(c), true, q2(b, c, c), true), true), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 2 (axiom_24) }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(l2(c, b), true, ifeq(k1(c), true, ifeq(true, true, q2(b, c, c), true), true), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(l2(c, b), true, ifeq(k1(c), true, q2(b, c, c), true), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(l2(c, b), true, ifeq(ifeq(true, true, k1(c), true), true, q2(b, c, c), true), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 8 (axiom_26) R->L }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(l2(c, b), true, ifeq(ifeq(n0(d, c), true, k1(c), true), true, q2(b, c, c), true), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 12 (rule_001) }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(l2(c, b), true, ifeq(true, true, q2(b, c, c), true), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(l2(c, b), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(ifeq(true, true, l2(c, b), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 6 (axiom_11) R->L }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(ifeq(n0(e, b), true, l2(c, b), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(ifeq(true, true, ifeq(n0(e, b), true, l2(c, b), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 13 (rule_126) R->L }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(s1(b), true, ifeq(q0(c, d), true, s1(c), true), true), true, ifeq(n0(e, b), true, l2(c, b), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 5 (axiom_17) }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(s1(b), true, ifeq(true, true, s1(c), true), true), true, ifeq(n0(e, b), true, l2(c, b), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(s1(b), true, s1(c), true), true, ifeq(n0(e, b), true, l2(c, b), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, s1(b), true), true, s1(c), true), true, ifeq(n0(e, b), true, l2(c, b), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.28 = { by axiom 4 (axiom_14) R->L }
% 7.55/1.28 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, b), true, s1(b), true), true, s1(c), true), true, ifeq(n0(e, b), true, l2(c, b), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 11 (rule_125) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(true, true, s1(c), true), true, ifeq(n0(e, b), true, l2(c, b), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(true, true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 21 (rule_134) R->L }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(m1(e, b, b), true, ifeq(p0(b, b), true, ifeq(m0(b, b, e), true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 9 (axiom_31) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(m1(e, b, b), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(e, b, b), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) R->L }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 16 (rule_029) R->L }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, Y), true, ifeq(s0(b), true, m1(b, Y, b), true), true), true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 1 (axiom_5) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, Y), true, ifeq(true, true, m1(b, Y, b), true), true), true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 4 (axiom_14) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, m1(b, Y, b), true), true), true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(b, Y, b), true), true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, Y, b), true, ifeq(true, true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 15 (rule_011) R->L }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, Y, b), true, ifeq(ifeq(k0(b), true, ifeq(n0(e, e), true, m1(b, b, e), true), true), true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 7 (axiom_30) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, Y, b), true, ifeq(ifeq(k0(b), true, ifeq(true, true, m1(b, b, e), true), true), true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, Y, b), true, ifeq(ifeq(k0(b), true, m1(b, b, e), true), true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 3 (axiom_32) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, Y, b), true, ifeq(ifeq(true, true, m1(b, b, e), true), true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, Y, b), true, ifeq(m1(b, b, e), true, m1(e, b, b), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 18 (rule_016) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(p0(b, b), true, ifeq(true, true, l2(b, b), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 4 (axiom_14) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, l2(b, b), true), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(true, true, l2(b, b), true), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(ifeq(l2(b, b), true, ifeq(s1(c), true, ifeq(n0(e, b), true, l2(c, b), true), true), true), true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 19 (rule_131) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(ifeq(true, true, q2(b, c, c), true), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 10 (ifeq_axiom) }
% 7.55/1.29 ifeq(s2(c), true, ifeq(q2(b, c, c), true, m3(b, c, b), true), true)
% 7.55/1.29 = { by axiom 17 (rule_237) }
% 7.55/1.29 true
% 7.55/1.29 % SZS output end Proof
% 7.55/1.29
% 7.55/1.29 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------