%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN207-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 01:47:18 PM UTC 2026
% Result : Unsatisfiable 10.64s 1.61s
% Output : Proof 10.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN207-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.18 % Computer : n007.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 15:36:25 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.64/1.61 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 10.64/1.61
% 10.64/1.61 % SZS status Unsatisfiable
% 10.64/1.61
% 10.64/1.64 % SZS output start Proof
% 10.64/1.64 Axiom 1 (axiom_5): s0(b) = true.
% 10.64/1.64 Axiom 2 (axiom_24): l0(c) = true.
% 10.64/1.64 Axiom 3 (axiom_20): l0(a) = true.
% 10.64/1.64 Axiom 4 (axiom_32): k0(b) = true.
% 10.64/1.64 Axiom 5 (axiom_14): p0(b, X) = true.
% 10.64/1.64 Axiom 6 (axiom_36): q0(a, b) = true.
% 10.64/1.64 Axiom 7 (axiom_37): n0(b, a) = true.
% 10.64/1.65 Axiom 8 (axiom_11): n0(e, b) = true.
% 10.64/1.65 Axiom 9 (axiom_30): n0(e, e) = true.
% 10.64/1.65 Axiom 10 (axiom_19): m0(X, d, Y) = true.
% 10.64/1.65 Axiom 11 (axiom_31): m0(b, b, e) = true.
% 10.64/1.65 Axiom 12 (axiom_38): m0(b, a, a) = true.
% 10.64/1.65 Axiom 13 (axiom_12): m0(a, X, a) = true.
% 10.64/1.65 Axiom 14 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 10.64/1.65 Axiom 15 (rule_125): ifeq(p0(X, X), true, s1(X), true) = true.
% 10.64/1.65 Axiom 16 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 10.64/1.65 Axiom 17 (rule_021): ifeq(k0(X), true, ifeq(l0(Y), true, m1(Y, X, Y), true), true) = true.
% 10.64/1.65 Axiom 18 (rule_189): ifeq(q2(b, X, b), true, ifeq(s1(b), true, s2(X), true), true) = true.
% 10.64/1.65 Axiom 19 (rule_011): ifeq(k0(X), true, ifeq(n0(Y, Y), true, m1(X, X, Y), true), true) = true.
% 10.64/1.65 Axiom 20 (rule_029): ifeq(p0(X, Y), true, ifeq(s0(X), true, m1(X, Y, X), true), true) = true.
% 10.64/1.65 Axiom 21 (rule_016): ifeq(m1(X, Y, Z), true, ifeq(m1(X, Z, W), true, m1(W, Z, Z), true), true) = true.
% 10.64/1.65 Axiom 22 (rule_183): ifeq(l2(X, Y), true, ifeq(k1(X), true, ifeq(l0(c), true, q2(Y, c, X), true), true), true) = true.
% 10.64/1.65 Axiom 23 (rule_273): ifeq(s2(X), true, ifeq(q2(Y, X, Y), true, ifeq(m0(Y, Z, W), true, s3(X, W), true), true), true) = true.
% 10.64/1.65 Axiom 24 (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.
% 10.64/1.65 Axiom 25 (rule_024): ifeq(m1(X, c, X), true, ifeq(m0(a, Y, a), true, ifeq(q0(Z, X), true, m1(Z, a, X), true), true), true) = true.
% 10.64/1.65
% 10.64/1.65 Goal 1 (prove_this): s3(c, c) = true.
% 10.64/1.65 Proof:
% 10.64/1.65 s3(c, c)
% 10.64/1.65 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.65 ifeq(true, true, s3(c, c), true)
% 10.64/1.65 = { by axiom 10 (axiom_19) R->L }
% 10.64/1.65 ifeq(m0(a, d, c), true, s3(c, c), true)
% 10.64/1.65 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.65 ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true)
% 10.64/1.65 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.65 ifeq(true, true, ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 18 (rule_189) R->L }
% 10.64/1.65 ifeq(ifeq(q2(b, c, b), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.65 ifeq(ifeq(ifeq(true, true, q2(b, c, b), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 16 (rule_001) R->L }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 8 (axiom_11) }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.65 ifeq(ifeq(ifeq(k1(b), true, q2(b, c, b), true), true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 24 (rule_134) R->L }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 11 (axiom_31) }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 20 (rule_029) R->L }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 1 (axiom_5) }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 5 (axiom_14) }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 19 (rule_011) R->L }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.65 = { by axiom 9 (axiom_30) }
% 10.64/1.65 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 4 (axiom_32) }
% 10.64/1.66 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 21 (rule_016) }
% 10.64/1.66 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 5 (axiom_14) }
% 10.64/1.66 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 2 (axiom_24) R->L }
% 10.64/1.66 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, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 22 (rule_183) }
% 10.64/1.66 ifeq(ifeq(true, true, ifeq(s1(b), true, s2(c), true), true), true, ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 ifeq(ifeq(s1(b), true, s2(c), true), true, ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 ifeq(ifeq(ifeq(true, true, s1(b), true), true, s2(c), true), true, ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 5 (axiom_14) R->L }
% 10.64/1.66 ifeq(ifeq(ifeq(p0(b, b), true, s1(b), true), true, s2(c), true), true, ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 15 (rule_125) }
% 10.64/1.66 ifeq(ifeq(true, true, s2(c), true), true, ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(true, true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 22 (rule_183) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(l2(a, a), true, ifeq(k1(a), true, ifeq(l0(c), true, q2(a, c, a), true), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 2 (axiom_24) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(l2(a, a), true, ifeq(k1(a), true, ifeq(true, true, q2(a, c, a), true), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(l2(a, a), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(true, true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 21 (rule_016) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(m1(a, a, b), true, ifeq(m1(a, b, a), true, m1(a, b, b), true), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(m1(a, a, b), true, ifeq(ifeq(true, true, m1(a, b, a), true), true, m1(a, b, b), true), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 3 (axiom_20) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(m1(a, a, b), true, ifeq(ifeq(l0(a), true, m1(a, b, a), true), true, m1(a, b, b), true), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(m1(a, a, b), true, ifeq(ifeq(true, true, ifeq(l0(a), true, m1(a, b, a), true), true), true, m1(a, b, b), true), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 4 (axiom_32) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(m1(a, a, b), true, ifeq(ifeq(k0(b), true, ifeq(l0(a), true, m1(a, b, a), true), true), true, m1(a, b, b), true), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 17 (rule_021) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(m1(a, a, b), true, ifeq(true, true, m1(a, b, b), true), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(m1(a, a, b), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(a, a, b), true), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 6 (axiom_36) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(q0(a, b), true, m1(a, a, b), true), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 20 (rule_029) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, c), true, ifeq(s0(b), true, m1(b, c, b), true), true), true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 1 (axiom_5) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, c), true, ifeq(true, true, m1(b, c, b), true), true), true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 5 (axiom_14) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, m1(b, c, b), true), true), true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(b, c, b), true), true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, c, b), true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, c, b), true, ifeq(true, true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 13 (axiom_12) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(ifeq(m1(b, c, b), true, ifeq(m0(a, Y, a), true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true), true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 25 (rule_024) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(ifeq(true, true, m1(a, b, b), true), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(m1(a, b, b), true, l2(a, a), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(m1(a, b, b), true, ifeq(true, true, l2(a, a), true), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(m1(a, b, b), true, ifeq(true, true, ifeq(true, true, l2(a, a), true), true), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 5 (axiom_14) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(m1(a, b, b), true, ifeq(p0(b, a), true, ifeq(true, true, l2(a, a), true), true), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 12 (axiom_38) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(m1(a, b, b), true, ifeq(p0(b, a), true, ifeq(m0(b, a, a), true, l2(a, a), true), true), true), true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 24 (rule_134) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(true, true, ifeq(k1(a), true, q2(a, c, a), true), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(k1(a), true, q2(a, c, a), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(true, true, k1(a), true), true, q2(a, c, a), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 7 (axiom_37) R->L }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(ifeq(n0(b, a), true, k1(a), true), true, q2(a, c, a), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 16 (rule_001) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(ifeq(true, true, q2(a, c, a), true), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 14 (ifeq_axiom) }
% 10.64/1.66 ifeq(s2(c), true, ifeq(q2(a, c, a), true, ifeq(m0(a, d, c), true, s3(c, c), true), true), true)
% 10.64/1.66 = { by axiom 23 (rule_273) }
% 10.64/1.66 true
% 10.64/1.66 % SZS output end Proof
% 10.64/1.66
% 10.64/1.66 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------