%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ056-2.005 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:30:51 PM UTC 2026
% Result : Unsatisfiable 28.25s 4.23s
% Output : Proof 110.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ056-2.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.07 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n020.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 22:38:19 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.25/4.23 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 28.25/4.23
% 28.25/4.23 % SZS status Unsatisfiable
% 28.25/4.23
% 101.74/13.63 % SZS output start Proof
% 101.74/13.63 Axiom 1 (neq7): neq(s2, s0) = true.
% 101.74/13.63 Axiom 2 (neq8): neq(s2, s1) = true.
% 101.74/13.63 Axiom 3 (neq3): neq(s0, s2) = true.
% 101.74/13.63 Axiom 4 (neq2): neq(s0, s1) = true.
% 101.74/13.63 Axiom 5 (neq6): neq(s1, s2) = true.
% 101.74/13.63 Axiom 6 (neq4): neq(s1, s0) = true.
% 101.74/13.63 Axiom 7 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 101.74/13.63 Axiom 8 (init): p(s0, s0, s0, s0, s0) = true.
% 101.74/13.63 Axiom 9 (rule1): ifeq(p(X, Y, Z, W, V), true, p(U, Y, Z, W, V), true) = true.
% 101.74/13.63 Axiom 10 (rule2): ifeq(neq(X, Y), true, ifeq(neq(X, Z), true, ifeq(p(X, Z, W, V, U), true, p(X, Y, W, V, U), true), true), true) = true.
% 101.74/13.63 Axiom 11 (rule3): ifeq(neq(X, Y), true, ifeq(neq(X, Z), true, ifeq(neq(W, Y), true, ifeq(neq(W, Z), true, ifeq(p(W, X, Z, V, U), true, p(W, X, Y, V, U), true), true), true), true), true) = true.
% 101.74/13.63 Axiom 12 (rule4): ifeq(neq(X, Y), true, ifeq(neq(X, Z), true, ifeq(neq(W, Y), true, ifeq(neq(W, Z), true, ifeq(neq(V, Y), true, ifeq(neq(V, Z), true, ifeq(p(V, W, X, Z, U), true, p(V, W, X, Y, U), true), true), true), true), true), true), true) = true.
% 103.55/14.02 Axiom 13 (rule5): ifeq(neq(X, Y), true, ifeq(neq(X, Z), true, ifeq(neq(W, Y), true, ifeq(neq(W, Z), true, ifeq(neq(V, Y), true, ifeq(neq(V, Z), true, ifeq(neq(U, Y), true, ifeq(neq(U, Z), true, ifeq(p(U, V, W, X, Z), true, p(U, V, W, X, Y), true), true), true), true), true), true), true), true), true) = true.
% 103.55/14.02
% 103.55/14.02 Goal 1 (goal): p(s2, s2, s2, s2, s2) = true.
% 103.55/14.02 Proof:
% 103.55/14.02 p(s2, s2, s2, s2, s2)
% 103.55/14.02 = { by axiom 7 (ifeq_axiom) R->L }
% 103.55/14.02 ifeq(true, true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 10 (rule2) R->L }
% 103.55/14.02 ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(p(s0, s1, s2, s2, s2), true, p(s0, s2, s2, s2, s2), true), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 3 (neq3) }
% 103.55/14.02 ifeq(ifeq(true, true, ifeq(neq(s0, s1), true, ifeq(p(s0, s1, s2, s2, s2), true, p(s0, s2, s2, s2, s2), true), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 7 (ifeq_axiom) }
% 103.55/14.02 ifeq(ifeq(neq(s0, s1), true, ifeq(p(s0, s1, s2, s2, s2), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 7 (ifeq_axiom) R->L }
% 103.55/14.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(true, true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 11 (rule3) R->L }
% 103.55/14.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(p(s1, s1, s0, s2, s2), true, p(s1, s1, s2, s2, s2), true), true), true), true), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 5 (neq6) }
% 103.55/14.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(p(s1, s1, s0, s2, s2), true, p(s1, s1, s2, s2, s2), true), true), true), true), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 7 (ifeq_axiom) }
% 103.55/14.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(p(s1, s1, s0, s2, s2), true, p(s1, s1, s2, s2, s2), true), true), true), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 6 (neq4) }
% 103.55/14.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(p(s1, s1, s0, s2, s2), true, p(s1, s1, s2, s2, s2), true), true), true), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 6 (neq4) }
% 103.55/14.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(p(s1, s1, s0, s2, s2), true, p(s1, s1, s2, s2, s2), true), true), true), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 7 (ifeq_axiom) }
% 103.55/14.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(p(s1, s1, s0, s2, s2), true, p(s1, s1, s2, s2, s2), true), true), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 5 (neq6) }
% 103.55/14.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(p(s1, s1, s0, s2, s2), true, p(s1, s1, s2, s2, s2), true), true), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 7 (ifeq_axiom) }
% 103.55/14.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(p(s1, s1, s0, s2, s2), true, p(s1, s1, s2, s2, s2), true), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.02 = { by axiom 7 (ifeq_axiom) }
% 103.55/14.03 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(p(s1, s1, s0, s2, s2), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.03 = { by axiom 7 (ifeq_axiom) R->L }
% 103.55/14.03 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(true, true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.03 = { by axiom 10 (rule2) R->L }
% 103.55/14.03 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(p(s2, s0, s0, s2, s2), true, p(s2, s1, s0, s2, s2), true), true), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.03 = { by axiom 1 (neq7) }
% 103.55/14.03 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(true, true, ifeq(p(s2, s0, s0, s2, s2), true, p(s2, s1, s0, s2, s2), true), true), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.03 = { by axiom 7 (ifeq_axiom) }
% 103.55/14.03 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(p(s2, s0, s0, s2, s2), true, p(s2, s1, s0, s2, s2), true), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.03 = { by axiom 2 (neq8) }
% 103.55/14.03 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p(s2, s0, s0, s2, s2), true, p(s2, s1, s0, s2, s2), true), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.03 = { by axiom 7 (ifeq_axiom) }
% 103.55/14.03 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(p(s2, s0, s0, s2, s2), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.03 = { by axiom 7 (ifeq_axiom) R->L }
% 103.55/14.03 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.03 = { by axiom 12 (rule4) R->L }
% 103.55/14.04 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(p(s0, s0, s0, s1, s2), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.04 = { by axiom 7 (ifeq_axiom) R->L }
% 103.55/14.04 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(true, true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.04 = { by axiom 10 (rule2) R->L }
% 103.55/14.04 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(p(s1, s2, s0, s1, s2), true, p(s1, s0, s0, s1, s2), true), true), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.04 = { by axiom 5 (neq6) }
% 103.55/14.04 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s0), true, ifeq(true, true, ifeq(p(s1, s2, s0, s1, s2), true, p(s1, s0, s0, s1, s2), true), true), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.04 = { by axiom 7 (ifeq_axiom) }
% 103.55/14.04 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s0), true, ifeq(p(s1, s2, s0, s1, s2), true, p(s1, s0, s0, s1, s2), true), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.05 = { by axiom 6 (neq4) }
% 103.55/14.05 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(p(s1, s2, s0, s1, s2), true, p(s1, s0, s0, s1, s2), true), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.05 = { by axiom 7 (ifeq_axiom) }
% 103.55/14.05 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(p(s1, s2, s0, s1, s2), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.05 = { by axiom 7 (ifeq_axiom) R->L }
% 103.55/14.05 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(true, true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 103.55/14.05 = { by axiom 11 (rule3) R->L }
% 104.41/14.06 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(p(s2, s2, s1, s1, s2), true, p(s2, s2, s0, s1, s2), true), true), true), true), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.06 = { by axiom 1 (neq7) }
% 104.41/14.06 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(p(s2, s2, s1, s1, s2), true, p(s2, s2, s0, s1, s2), true), true), true), true), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.06 = { by axiom 7 (ifeq_axiom) }
% 104.41/14.06 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(p(s2, s2, s1, s1, s2), true, p(s2, s2, s0, s1, s2), true), true), true), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.06 = { by axiom 2 (neq8) }
% 104.41/14.07 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(true, true, ifeq(p(s2, s2, s1, s1, s2), true, p(s2, s2, s0, s1, s2), true), true), true), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.07 = { by axiom 2 (neq8) }
% 104.41/14.07 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(neq(s2, s0), true, ifeq(true, true, ifeq(p(s2, s2, s1, s1, s2), true, p(s2, s2, s0, s1, s2), true), true), true), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.07 = { by axiom 7 (ifeq_axiom) }
% 104.41/14.07 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s0), true, ifeq(true, true, ifeq(p(s2, s2, s1, s1, s2), true, p(s2, s2, s0, s1, s2), true), true), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.07 = { by axiom 1 (neq7) }
% 104.41/14.08 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(p(s2, s2, s1, s1, s2), true, p(s2, s2, s0, s1, s2), true), true), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.08 = { by axiom 7 (ifeq_axiom) }
% 104.41/14.08 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p(s2, s2, s1, s1, s2), true, p(s2, s2, s0, s1, s2), true), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.08 = { by axiom 7 (ifeq_axiom) }
% 104.41/14.08 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(p(s2, s2, s1, s1, s2), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.08 = { by axiom 7 (ifeq_axiom) R->L }
% 104.41/14.08 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.09 = { by axiom 10 (rule2) R->L }
% 104.41/14.09 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(p(s0, s1, s1, s1, s2), true, p(s0, s2, s1, s1, s2), true), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.09 = { by axiom 3 (neq3) }
% 104.41/14.09 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(neq(s0, s1), true, ifeq(p(s0, s1, s1, s1, s2), true, p(s0, s2, s1, s1, s2), true), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.10 = { by axiom 7 (ifeq_axiom) }
% 104.41/14.10 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(p(s0, s1, s1, s1, s2), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.10 = { by axiom 7 (ifeq_axiom) R->L }
% 104.41/14.10 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(true, true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.11 = { by axiom 13 (rule5) R->L }
% 104.41/14.11 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(p(s1, s1, s1, s1, s0), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.11 = { by axiom 7 (ifeq_axiom) R->L }
% 104.41/14.12 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(true, true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.12 = { by axiom 10 (rule2) R->L }
% 104.41/14.12 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(p(s2, s0, s1, s1, s0), true, p(s2, s1, s1, s1, s0), true), true), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.13 = { by axiom 1 (neq7) }
% 104.41/14.13 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(true, true, ifeq(p(s2, s0, s1, s1, s0), true, p(s2, s1, s1, s1, s0), true), true), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.14 = { by axiom 7 (ifeq_axiom) }
% 104.41/14.14 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(p(s2, s0, s1, s1, s0), true, p(s2, s1, s1, s1, s0), true), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.14 = { by axiom 2 (neq8) }
% 104.41/14.15 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(true, true, ifeq(p(s2, s0, s1, s1, s0), true, p(s2, s1, s1, s1, s0), true), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.41/14.15 = { by axiom 7 (ifeq_axiom) }
% 104.41/14.15 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(p(s2, s0, s1, s1, s0), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.91/14.16 = { by axiom 7 (ifeq_axiom) R->L }
% 104.91/14.16 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(true, true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.91/14.17 = { by axiom 11 (rule3) R->L }
% 104.91/14.17 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(p(s0, s0, s2, s1, s0), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.91/14.18 = { by axiom 7 (ifeq_axiom) R->L }
% 104.91/14.18 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(true, true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.91/14.19 = { by axiom 10 (rule2) R->L }
% 104.91/14.19 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(p(s1, s2, s2, s1, s0), true, p(s1, s0, s2, s1, s0), true), true), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 104.91/14.20 = { by axiom 5 (neq6) }
% 105.15/14.21 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(neq(s1, s0), true, ifeq(true, true, ifeq(p(s1, s2, s2, s1, s0), true, p(s1, s0, s2, s1, s0), true), true), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.15/14.21 = { by axiom 7 (ifeq_axiom) }
% 105.15/14.21 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(neq(s1, s0), true, ifeq(p(s1, s2, s2, s1, s0), true, p(s1, s0, s2, s1, s0), true), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.15/14.22 = { by axiom 6 (neq4) }
% 105.15/14.23 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(true, true, ifeq(p(s1, s2, s2, s1, s0), true, p(s1, s0, s2, s1, s0), true), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.15/14.23 = { by axiom 7 (ifeq_axiom) }
% 105.15/14.24 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(p(s1, s2, s2, s1, s0), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.15/14.25 = { by axiom 7 (ifeq_axiom) R->L }
% 105.15/14.25 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(true, true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.15/14.26 = { by axiom 12 (rule4) R->L }
% 105.15/14.27 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(p(s2, s2, s2, s0, s0), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.15/14.27 = { by axiom 7 (ifeq_axiom) R->L }
% 105.15/14.28 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(true, true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.15/14.29 = { by axiom 10 (rule2) R->L }
% 105.15/14.30 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(p(s0, s1, s2, s0, s0), true, p(s0, s2, s2, s0, s0), true), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.66/14.30 = { by axiom 3 (neq3) }
% 105.66/14.31 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(true, true, ifeq(neq(s0, s1), true, ifeq(p(s0, s1, s2, s0, s0), true, p(s0, s2, s2, s0, s0), true), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.66/14.32 = { by axiom 7 (ifeq_axiom) }
% 105.66/14.33 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(p(s0, s1, s2, s0, s0), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.66/14.34 = { by axiom 7 (ifeq_axiom) R->L }
% 105.66/14.34 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(true, true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.66/14.36 = { by axiom 11 (rule3) R->L }
% 105.66/14.36 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(p(s1, s1, s0, s0, s0), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.66/14.38 = { by axiom 7 (ifeq_axiom) R->L }
% 105.66/14.38 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(true, true, p(s1, s1, s0, s0, s0), true), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 105.66/14.40 = { by axiom 10 (rule2) R->L }
% 106.15/14.40 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(p(s2, s0, s0, s0, s0), true, p(s2, s1, s0, s0, s0), true), true), true), true, p(s1, s1, s0, s0, s0), true), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 106.15/14.42 = { by axiom 7 (ifeq_axiom) R->L }
% 106.15/14.43 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(true, true, p(s2, s0, s0, s0, s0), true), true, p(s2, s1, s0, s0, s0), true), true), true), true, p(s1, s1, s0, s0, s0), true), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 106.15/14.44 = { by axiom 8 (init) R->L }
% 106.15/14.45 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(p(s0, s0, s0, s0, s0), true, p(s2, s0, s0, s0, s0), true), true, p(s2, s1, s0, s0, s0), true), true), true), true, p(s1, s1, s0, s0, s0), true), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 106.15/14.46 = { by axiom 9 (rule1) }
% 106.15/14.47 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(true, true, p(s2, s1, s0, s0, s0), true), true), true), true, p(s1, s1, s0, s0, s0), true), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 106.15/14.48 = { by axiom 7 (ifeq_axiom) }
% 106.15/14.49 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, p(s2, s1, s0, s0, s0), true), true), true, p(s1, s1, s0, s0, s0), true), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 106.65/14.50 = { by axiom 2 (neq8) }
% 106.65/14.51 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(true, true, ifeq(neq(s2, s0), true, p(s2, s1, s0, s0, s0), true), true), true, p(s1, s1, s0, s0, s0), true), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 106.65/14.52 = { by axiom 7 (ifeq_axiom) }
% 106.65/14.53 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(neq(s2, s0), true, p(s2, s1, s0, s0, s0), true), true, p(s1, s1, s0, s0, s0), true), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 106.65/14.54 = { by axiom 1 (neq7) }
% 106.65/14.55 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(true, true, p(s2, s1, s0, s0, s0), true), true, p(s1, s1, s0, s0, s0), true), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 106.65/14.56 = { by axiom 7 (ifeq_axiom) }
% 106.65/14.57 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(p(s2, s1, s0, s0, s0), true, p(s1, s1, s0, s0, s0), true), true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 106.65/14.58 = { by axiom 9 (rule1) }
% 106.65/14.58 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(true, true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 106.65/14.59 = { by axiom 6 (neq4) }
% 107.15/14.60 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(true, true, p(s1, s1, s2, s0, s0), true), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.15/14.61 = { by axiom 7 (ifeq_axiom) }
% 107.15/14.62 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(true, true, p(s1, s1, s2, s0, s0), true), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.15/14.63 = { by axiom 7 (ifeq_axiom) }
% 107.15/14.64 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, p(s1, s1, s2, s0, s0), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.15/14.65 = { by axiom 5 (neq6) }
% 107.15/14.65 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s0), true, p(s1, s1, s2, s0, s0), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.15/14.66 = { by axiom 5 (neq6) }
% 107.15/14.67 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(neq(s1, s0), true, p(s1, s1, s2, s0, s0), true), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.15/14.68 = { by axiom 7 (ifeq_axiom) }
% 107.15/14.68 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(neq(s1, s0), true, p(s1, s1, s2, s0, s0), true), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.15/14.69 = { by axiom 7 (ifeq_axiom) }
% 107.65/14.70 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s0), true, p(s1, s1, s2, s0, s0), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.65/14.71 = { by axiom 6 (neq4) }
% 107.65/14.72 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, p(s1, s1, s2, s0, s0), true), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.65/14.73 = { by axiom 7 (ifeq_axiom) }
% 107.65/14.73 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(p(s1, s1, s2, s0, s0), true, p(s0, s1, s2, s0, s0), true), true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.65/14.74 = { by axiom 9 (rule1) }
% 107.65/14.75 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(true, true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.65/14.76 = { by axiom 4 (neq2) }
% 107.65/14.76 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, p(s0, s2, s2, s0, s0), true), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.65/14.77 = { by axiom 7 (ifeq_axiom) }
% 107.65/14.78 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(ifeq(true, true, p(s0, s2, s2, s0, s0), true), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.65/14.79 = { by axiom 7 (ifeq_axiom) }
% 107.65/14.79 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(ifeq(p(s0, s2, s2, s0, s0), true, p(s2, s2, s2, s0, s0), true), true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 107.65/14.80 = { by axiom 9 (rule1) }
% 108.16/14.81 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(true, true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.16/14.81 = { by axiom 1 (neq7) }
% 108.16/14.82 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(neq(s2, s1), true, ifeq(true, true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(true, true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.16/14.83 = { by axiom 1 (neq7) }
% 108.16/14.83 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(true, true, ifeq(neq(s2, s1), true, ifeq(true, true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(true, true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.16/14.84 = { by axiom 7 (ifeq_axiom) }
% 108.16/14.84 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s1), true, ifeq(true, true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(true, true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.16/14.85 = { by axiom 7 (ifeq_axiom) }
% 108.16/14.86 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, ifeq(true, true, p(s2, s2, s2, s1, s0), true), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.16/14.86 = { by axiom 7 (ifeq_axiom) }
% 108.16/14.87 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s1), true, ifeq(neq(s2, s0), true, p(s2, s2, s2, s1, s0), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.16/14.87 = { by axiom 2 (neq8) }
% 108.16/14.88 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(neq(s2, s1), true, ifeq(true, true, ifeq(neq(s2, s0), true, p(s2, s2, s2, s1, s0), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.16/14.89 = { by axiom 2 (neq8) }
% 108.16/14.89 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s1), true, ifeq(true, true, ifeq(true, true, ifeq(neq(s2, s0), true, p(s2, s2, s2, s1, s0), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.16/14.90 = { by axiom 2 (neq8) }
% 108.65/14.90 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(true, true, ifeq(neq(s2, s0), true, p(s2, s2, s2, s1, s0), true), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/14.91 = { by axiom 7 (ifeq_axiom) }
% 108.65/14.92 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(neq(s2, s0), true, p(s2, s2, s2, s1, s0), true), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/14.92 = { by axiom 7 (ifeq_axiom) }
% 108.65/14.93 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(neq(s2, s0), true, p(s2, s2, s2, s1, s0), true), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/14.94 = { by axiom 7 (ifeq_axiom) }
% 108.65/14.94 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s2, s0), true, p(s2, s2, s2, s1, s0), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/14.95 = { by axiom 1 (neq7) }
% 108.65/14.95 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p(s2, s2, s2, s1, s0), true), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/14.96 = { by axiom 7 (ifeq_axiom) }
% 108.65/14.97 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(ifeq(p(s2, s2, s2, s1, s0), true, p(s1, s2, s2, s1, s0), true), true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/14.97 = { by axiom 9 (rule1) }
% 108.65/14.98 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(ifeq(true, true, p(s1, s0, s2, s1, s0), true), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/14.98 = { by axiom 7 (ifeq_axiom) }
% 108.65/14.99 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(ifeq(p(s1, s0, s2, s1, s0), true, p(s0, s0, s2, s1, s0), true), true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/14.99 = { by axiom 9 (rule1) }
% 108.65/15.00 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(true, true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/15.00 = { by axiom 3 (neq3) }
% 108.65/15.01 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(true, true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(true, true, p(s0, s0, s1, s1, s0), true), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/15.01 = { by axiom 7 (ifeq_axiom) }
% 108.65/15.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(true, true, p(s0, s0, s1, s1, s0), true), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/15.02 = { by axiom 7 (ifeq_axiom) }
% 108.65/15.02 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, p(s0, s0, s1, s1, s0), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/15.03 = { by axiom 4 (neq2) }
% 108.65/15.03 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(true, true, ifeq(neq(s0, s2), true, p(s0, s0, s1, s1, s0), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/15.04 = { by axiom 4 (neq2) }
% 108.65/15.04 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(neq(s0, s2), true, p(s0, s0, s1, s1, s0), true), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/15.04 = { by axiom 7 (ifeq_axiom) }
% 108.65/15.05 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(neq(s0, s2), true, p(s0, s0, s1, s1, s0), true), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 108.65/15.05 = { by axiom 7 (ifeq_axiom) }
% 109.42/15.06 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, p(s0, s0, s1, s1, s0), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.06 = { by axiom 3 (neq3) }
% 109.42/15.06 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p(s0, s0, s1, s1, s0), true), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.07 = { by axiom 7 (ifeq_axiom) }
% 109.42/15.07 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(ifeq(p(s0, s0, s1, s1, s0), true, p(s2, s0, s1, s1, s0), true), true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.07 = { by axiom 9 (rule1) }
% 109.42/15.08 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(ifeq(true, true, p(s2, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.08 = { by axiom 7 (ifeq_axiom) }
% 109.42/15.08 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(ifeq(p(s2, s1, s1, s1, s0), true, p(s1, s1, s1, s1, s0), true), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.09 = { by axiom 9 (rule1) }
% 109.42/15.09 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(true, true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.09 = { by axiom 6 (neq4) }
% 109.42/15.09 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(true, true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.10 = { by axiom 6 (neq4) }
% 109.42/15.10 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(true, true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.10 = { by axiom 6 (neq4) }
% 109.42/15.11 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(true, true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.11 = { by axiom 7 (ifeq_axiom) }
% 109.42/15.11 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(true, true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.12 = { by axiom 7 (ifeq_axiom) }
% 109.42/15.12 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(true, true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.12 = { by axiom 7 (ifeq_axiom) }
% 109.42/15.12 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, ifeq(true, true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.13 = { by axiom 7 (ifeq_axiom) }
% 109.42/15.13 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s0), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.13 = { by axiom 5 (neq6) }
% 109.42/15.13 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(neq(s1, s0), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.13 = { by axiom 5 (neq6) }
% 109.42/15.14 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(true, true, ifeq(neq(s1, s0), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.14 = { by axiom 5 (neq6) }
% 109.42/15.14 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s2), true, ifeq(true, true, ifeq(true, true, ifeq(true, true, ifeq(neq(s1, s0), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.14 = { by axiom 5 (neq6) }
% 109.42/15.15 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(true, true, ifeq(true, true, ifeq(neq(s1, s0), true, p(s1, s1, s1, s1, s2), true), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.15 = { by axiom 7 (ifeq_axiom) }
% 109.42/15.15 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(true, true, ifeq(neq(s1, s0), true, p(s1, s1, s1, s1, s2), true), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.42/15.15 = { by axiom 7 (ifeq_axiom) }
% 109.42/15.15 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(neq(s1, s0), true, p(s1, s1, s1, s1, s2), true), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.16 = { by axiom 7 (ifeq_axiom) }
% 109.95/15.16 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, ifeq(neq(s1, s0), true, p(s1, s1, s1, s1, s2), true), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.16 = { by axiom 7 (ifeq_axiom) }
% 109.95/15.16 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(neq(s1, s0), true, p(s1, s1, s1, s1, s2), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.16 = { by axiom 6 (neq4) }
% 109.95/15.17 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, p(s1, s1, s1, s1, s2), true), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.17 = { by axiom 7 (ifeq_axiom) }
% 109.95/15.17 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(p(s1, s1, s1, s1, s2), true, p(s0, s1, s1, s1, s2), true), true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.17 = { by axiom 9 (rule1) }
% 109.95/15.17 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, ifeq(true, true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.18 = { by axiom 4 (neq2) }
% 109.95/15.18 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, p(s0, s2, s1, s1, s2), true), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.18 = { by axiom 7 (ifeq_axiom) }
% 109.95/15.18 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p(s0, s2, s1, s1, s2), true), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.18 = { by axiom 7 (ifeq_axiom) }
% 109.95/15.18 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p(s0, s2, s1, s1, s2), true, p(s2, s2, s1, s1, s2), true), true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.18 = { by axiom 9 (rule1) }
% 109.95/15.19 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p(s2, s2, s0, s1, s2), true), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.19 = { by axiom 7 (ifeq_axiom) }
% 109.95/15.19 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(p(s2, s2, s0, s1, s2), true, p(s1, s2, s0, s1, s2), true), true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.19 = { by axiom 9 (rule1) }
% 109.95/15.19 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, p(s1, s0, s0, s1, s2), true), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.19 = { by axiom 7 (ifeq_axiom) }
% 109.95/15.19 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(ifeq(p(s1, s0, s0, s1, s2), true, p(s0, s0, s0, s1, s2), true), true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.19 = { by axiom 9 (rule1) }
% 109.95/15.19 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(true, true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.20 = { by axiom 4 (neq2) }
% 109.95/15.20 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(neq(s0, s2), true, ifeq(true, true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(true, true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.20 = { by axiom 4 (neq2) }
% 109.95/15.20 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(true, true, ifeq(neq(s0, s2), true, ifeq(true, true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(true, true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 109.95/15.20 = { by axiom 7 (ifeq_axiom) }
% 109.95/15.20 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s2), true, ifeq(true, true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(true, true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.20 = { by axiom 7 (ifeq_axiom) }
% 110.16/15.20 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, ifeq(true, true, p(s0, s0, s0, s2, s2), true), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.20 = { by axiom 7 (ifeq_axiom) }
% 110.16/15.20 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s2), true, ifeq(neq(s0, s1), true, p(s0, s0, s0, s2, s2), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.20 = { by axiom 3 (neq3) }
% 110.16/15.21 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(neq(s0, s2), true, ifeq(true, true, ifeq(neq(s0, s1), true, p(s0, s0, s0, s2, s2), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.21 = { by axiom 3 (neq3) }
% 110.16/15.21 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s2), true, ifeq(true, true, ifeq(true, true, ifeq(neq(s0, s1), true, p(s0, s0, s0, s2, s2), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.21 = { by axiom 3 (neq3) }
% 110.16/15.21 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(true, true, ifeq(neq(s0, s1), true, p(s0, s0, s0, s2, s2), true), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.21 = { by axiom 7 (ifeq_axiom) }
% 110.16/15.21 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(neq(s0, s1), true, p(s0, s0, s0, s2, s2), true), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.21 = { by axiom 7 (ifeq_axiom) }
% 110.16/15.21 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(neq(s0, s1), true, p(s0, s0, s0, s2, s2), true), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.21 = { by axiom 7 (ifeq_axiom) }
% 110.16/15.21 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(neq(s0, s1), true, p(s0, s0, s0, s2, s2), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.24 = { by axiom 4 (neq2) }
% 110.16/15.24 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p(s0, s0, s0, s2, s2), true), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.24 = { by axiom 7 (ifeq_axiom) }
% 110.16/15.24 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p(s0, s0, s0, s2, s2), true, p(s2, s0, s0, s2, s2), true), true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.24 = { by axiom 9 (rule1) }
% 110.16/15.24 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p(s2, s1, s0, s2, s2), true), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.24 = { by axiom 7 (ifeq_axiom) }
% 110.16/15.25 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(ifeq(p(s2, s1, s0, s2, s2), true, p(s1, s1, s0, s2, s2), true), true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.25 = { by axiom 9 (rule1) }
% 110.16/15.25 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(ifeq(true, true, p(s1, s1, s2, s2, s2), true), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.25 = { by axiom 7 (ifeq_axiom) }
% 110.16/15.25 ifeq(ifeq(neq(s0, s1), true, ifeq(ifeq(p(s1, s1, s2, s2, s2), true, p(s0, s1, s2, s2, s2), true), true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.25 = { by axiom 9 (rule1) }
% 110.16/15.25 ifeq(ifeq(neq(s0, s1), true, ifeq(true, true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.25 = { by axiom 4 (neq2) }
% 110.16/15.25 ifeq(ifeq(true, true, ifeq(true, true, p(s0, s2, s2, s2, s2), true), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.25 = { by axiom 7 (ifeq_axiom) }
% 110.16/15.25 ifeq(ifeq(true, true, p(s0, s2, s2, s2, s2), true), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.25 = { by axiom 7 (ifeq_axiom) }
% 110.16/15.25 ifeq(p(s0, s2, s2, s2, s2), true, p(s2, s2, s2, s2, s2), true)
% 110.16/15.25 = { by axiom 9 (rule1) }
% 110.16/15.25 true
% 110.16/15.25 % SZS output end Proof
% 110.16/15.25
% 110.16/15.25 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------