TSTP Solution File: SYN116-10 by Toma---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Toma---0.4
% Problem : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : toma --casc %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 03:30:00 EDT 2023
% Result : Unsatisfiable 246.21s 246.45s
% Output : CNFRefutation 246.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : toma --casc %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 19:00:07 EDT 2023
% 0.14/0.34 % CPUTime :
% 246.21/246.45 % SZS status Unsatisfiable
% 246.21/246.45 % SZS output start Proof
% 246.21/246.45 original problem:
% 246.21/246.45 axioms:
% 246.21/246.45 ifeq(A, A, B, C) = B
% 246.21/246.45 s0(d()) = true()
% 246.21/246.45 q0(e(), d()) = true()
% 246.21/246.45 n0(d(), e()) = true()
% 246.21/246.45 m0(e(), d(), a()) = true()
% 246.21/246.45 s0(b()) = true()
% 246.21/246.45 q0(b(), b()) = true()
% 246.21/246.45 n0(d(), b()) = true()
% 246.21/246.45 m0(e(), d(), e()) = true()
% 246.21/246.45 r0(b()) = true()
% 246.21/246.45 p0(b(), d()) = true()
% 246.21/246.45 n0(e(), b()) = true()
% 246.21/246.45 m0(a(), X, a()) = true()
% 246.21/246.45 r0(e()) = true()
% 246.21/246.45 p0(b(), X) = true()
% 246.21/246.45 n0(a(), b()) = true()
% 246.21/246.45 m0(c(), b(), a()) = true()
% 246.21/246.45 q0(X, d()) = true()
% 246.21/246.45 p0(c(), b()) = true()
% 246.21/246.45 m0(X, d(), Y) = true()
% 246.21/246.45 l0(a()) = true()
% 246.21/246.45 q0(b(), e()) = true()
% 246.21/246.45 p0(b(), c()) = true()
% 246.21/246.45 m0(a(), e(), e()) = true()
% 246.21/246.45 l0(c()) = true()
% 246.21/246.45 q0(d(), d()) = true()
% 246.21/246.45 n0(d(), c()) = true()
% 246.21/246.45 m0(e(), b(), c()) = true()
% 246.21/246.45 k0(e()) = true()
% 246.21/246.45 q0(d(), b()) = true()
% 246.21/246.45 n0(e(), e()) = true()
% 246.21/246.45 m0(b(), b(), e()) = true()
% 246.21/246.45 k0(b()) = true()
% 246.21/246.45 q0(d(), c()) = true()
% 246.21/246.45 n0(c(), d()) = true()
% 246.21/246.45 m0(d(), e(), c()) = true()
% 246.21/246.45 q0(a(), b()) = true()
% 246.21/246.45 n0(b(), a()) = true()
% 246.21/246.45 m0(b(), a(), a()) = true()
% 246.21/246.45 ifeq(n0(J, I), true(), k1(I), true()) = true()
% 246.21/246.45 ifeq(n0(H, G), true(), l1(G, G), true()) = true()
% 246.21/246.45 ifeq(p0(E, C), true(), ifeq(r0(F), true(), ifeq(m0(D, C, E), true(), l1(C, D), true()), true()), true()) = true()
% 246.21/246.45 ifeq(l0(B), true(), ifeq(l1(B, B), true(), ifeq(k1(A), true(), l1(A, A), true()), true()), true()) = true()
% 246.21/246.45 ifeq(m0(C, C, B), true(), m1(B, C, B), true()) = true()
% 246.21/246.45 ifeq(m0(A, A, J), true(), m1(J, J, J), true()) = true()
% 246.21/246.45 ifeq(p0(I, H), true(), ifeq(r0(G), true(), m1(G, H, G), true()), true()) = true()
% 246.21/246.45 ifeq(l0(b()), true(), m1(b(), b(), b()), true()) = true()
% 246.21/246.45 ifeq(r0(E), true(), ifeq(q0(F, D), true(), ifeq(s0(E), true(), m1(D, D, D), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(C, B), true(), ifeq(l1(c(), c()), true(), ifeq(n0(C, C), true(), m1(B, B, c()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(k0(J), true(), ifeq(n0(A, A), true(), m1(J, J, A), true()), true()) = true()
% 246.21/246.45 ifeq(r0(e()), true(), m1(e(), e(), e()), true()) = true()
% 246.21/246.45 ifeq(q0(I, H), true(), m1(H, H, H), true()) = true()
% 246.21/246.45 ifeq(m0(F, G, E), true(), m1(E, E, E), true()) = true()
% 246.21/246.45 ifeq(l0(D), true(), ifeq(m0(C, C, B), true(), m1(B, C, C), true()), true()) = true()
% 246.21/246.45 ifeq(m1(J, A, I), true(), ifeq(m1(J, I, H), true(), m1(H, I, I), true()), true()) = true()
% 246.21/246.45 ifeq(q0(G, d()), true(), ifeq(s0(F), true(), m1(F, F, F), true()), true()) = true()
% 246.21/246.45 ifeq(q0(D, E), true(), ifeq(q0(D, C), true(), m1(C, C, C), true()), true()) = true()
% 246.21/246.45 ifeq(p0(A, B), true(), ifeq(r0(c()), true(), ifeq(q0(B, d()), true(), ifeq(s0(d()), true(), m1(A, B, c()), true()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(l0(c()), true(), m1(c(), c(), c()), true()) = true()
% 246.21/246.45 ifeq(k0(J), true(), ifeq(l0(I), true(), m1(I, J, I), true()), true()) = true()
% 246.21/246.45 ifeq(s0(e()), true(), m1(e(), e(), e()), true()) = true()
% 246.21/246.45 ifeq(l0(a()), true(), ifeq(s0(d()), true(), m1(a(), a(), a()), true()), true()) = true()
% 246.21/246.45 ifeq(m1(G, c(), G), true(), ifeq(m0(a(), H, a()), true(), ifeq(q0(F, G), true(), m1(F, a(), G), true()), true()), true()) = true()
% 246.21/246.45 ifeq(m0(D, E, C), true(), m1(C, C, C), true()) = true()
% 246.21/246.45 ifeq(l0(B), true(), ifeq(l0(A), true(), ifeq(p0(B, d()), true(), m1(A, A, A), true()), true()), true()) = true()
% 246.21/246.45 ifeq(q0(c(), d()), true(), ifeq(l1(a(), b()), true(), m1(b(), b(), b()), true()), true()) = true()
% 246.21/246.45 ifeq(k0(J), true(), ifeq(l0(J), true(), ifeq(m0(J, J, J), true(), m1(J, J, J), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(H, I), true(), ifeq(s0(H), true(), m1(H, I, H), true()), true()) = true()
% 246.21/246.45 ifeq(r0(e()), true(), m1(e(), e(), e()), true()) = true()
% 246.21/246.45 ifeq(k0(e()), true(), ifeq(r0(e()), true(), ifeq(r0(G), true(), ifeq(m0(a(), e(), c()), true(), m1(c(), a(), c()), true()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(s0(F), true(), m1(F, F, F), true()) = true()
% 246.21/246.45 ifeq(m1(E, D, C), true(), ifeq(q0(D, D), true(), m1(C, C, C), true()), true()) = true()
% 246.21/246.45 ifeq(q0(A, A), true(), ifeq(k1(a()), true(), ifeq(k1(B), true(), m1(A, B, B), true()), true()), true()) = true()
% 246.21/246.45 ifeq(l0(J), true(), ifeq(r0(I), true(), m1(I, J, I), true()), true()) = true()
% 246.21/246.45 ifeq(m0(b(), B, A), true(), n1(A, A, B), true()) = true()
% 246.21/246.45 ifeq(l0(I), true(), ifeq(p0(J, H), true(), ifeq(r0(H), true(), n1(H, I, H), true()), true()), true()) = true()
% 246.21/246.45 ifeq(q0(a(), G), true(), ifeq(n0(G, G), true(), n1(G, G, G), true()), true()) = true()
% 246.21/246.45 ifeq(m0(F, E, c()), true(), n1(E, c(), E), true()) = true()
% 246.21/246.45 ifeq(m0(C, D, e()), true(), ifeq(k1(C), true(), n1(C, e(), e()), true()), true()) = true()
% 246.21/246.45 ifeq(m1(b(), B, e()), true(), ifeq(s0(b()), true(), n1(e(), e(), B), true()), true()) = true()
% 246.21/246.45 ifeq(k0(H), true(), ifeq(m0(I, J, I), true(), ifeq(q0(A, J), true(), n1(H, H, H), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(G, G), true(), ifeq(k1(G), true(), n1(G, G, G), true()), true()) = true()
% 246.21/246.45 ifeq(p0(E, F), true(), ifeq(p0(D, D), true(), n1(D, E, D), true()), true()) = true()
% 246.21/246.45 ifeq(q0(d(), d()), true(), n1(d(), d(), d()), true()) = true()
% 246.21/246.45 ifeq(m1(B, C, A), true(), ifeq(k0(B), true(), n1(A, A, A), true()), true()) = true()
% 246.21/246.45 ifeq(p0(J, J), true(), ifeq(r0(I), true(), ifeq(l1(J, d()), true(), n1(I, d(), J), true()), true()), true()) = true()
% 246.21/246.45 ifeq(l0(c()), true(), n1(c(), c(), c()), true()) = true()
% 246.21/246.45 ifeq(l0(D), true(), ifeq(p0(b(), E), true(), ifeq(s0(b()), true(), n1(D, E, D), true()), true()), true()) = true()
% 246.21/246.45 ifeq(n1(C, B, C), true(), ifeq(m1(c(), B, C), true(), ifeq(m0(b(), C, c()), true(), n1(B, B, B), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(A, J), true(), ifeq(m0(J, J, J), true(), ifeq(s0(I), true(), ifeq(k1(I), true(), n1(I, I, I), true()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(a(), b()), true(), ifeq(p0(H, d()), true(), n1(a(), H, b()), true()), true()) = true()
% 246.21/246.45 ifeq(n1(E, F, E), true(), ifeq(l0(G), true(), ifeq(l1(G, E), true(), n1(E, F, F), true()), true()), true()) = true()
% 246.21/246.45 ifeq(n1(e(), e(), e()), true(), ifeq(p0(d(), d()), true(), ifeq(r0(b()), true(), n1(d(), e(), e()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(l0(a()), true(), ifeq(r0(a()), true(), n1(a(), a(), a()), true()), true()) = true()
% 246.21/246.45 ifeq(r0(D), true(), n1(D, D, D), true()) = true()
% 246.21/246.45 ifeq(l1(C, B), true(), ifeq(n0(C, B), true(), n1(B, B, B), true()), true()) = true()
% 246.21/246.45 ifeq(m0(J, A, A), true(), ifeq(m0(I, J, H), true(), n1(H, H, I), true()), true()) = true()
% 246.21/246.45 ifeq(m1(d(), e(), e()), true(), ifeq(k0(b()), true(), ifeq(q0(b(), e()), true(), n1(d(), d(), b()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(k0(G), true(), ifeq(s0(G), true(), n1(G, G, G), true()), true()) = true()
% 246.21/246.45 ifeq(n1(E, D, E), true(), ifeq(m0(E, E, F), true(), n1(D, D, D), true()), true()) = true()
% 246.21/246.45 ifeq(k0(E), true(), ifeq(n0(d(), D), true(), p1(D, D, E), true()), true()) = true()
% 246.21/246.45 ifeq(l0(A), true(), ifeq(m0(B, C, b()), true(), p1(A, A, A), true()), true()) = true()
% 246.21/246.45 ifeq(p0(I, J), true(), ifeq(l1(J, J), true(), ifeq(n0(J, J), true(), p1(I, I, I), true()), true()), true()) = true()
% 246.21/246.45 ifeq(n0(H, G), true(), p1(G, G, G), true()) = true()
% 246.21/246.45 ifeq(q0(F, E), true(), p1(E, E, E), true()) = true()
% 246.21/246.45 ifeq(k0(D), true(), p1(D, D, D), true()) = true()
% 246.21/246.45 ifeq(p0(C, B), true(), p1(B, B, C), true()) = true()
% 246.21/246.45 ifeq(p0(a(), c()), true(), p1(c(), c(), c()), true()) = true()
% 246.21/246.45 ifeq(p1(I, A, H), true(), ifeq(l0(J), true(), ifeq(s0(b()), true(), p1(H, I, H), true()), true()), true()) = true()
% 246.21/246.45 ifeq(s0(G), true(), ifeq(s0(F), true(), p1(F, F, F), true()), true()) = true()
% 246.21/246.45 ifeq(k0(b()), true(), ifeq(k0(D), true(), ifeq(k1(E), true(), ifeq(n0(e(), b()), true(), p1(D, D, D), true()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(C, B), true(), ifeq(r0(B), true(), p1(B, B, C), true()), true()) = true()
% 246.21/246.45 ifeq(p0(b(), a()), true(), p1(a(), a(), a()), true()) = true()
% 246.21/246.45 ifeq(m0(b(), c(), e()), true(), p1(c(), e(), b()), true()) = true()
% 246.21/246.45 ifeq(p0(d(), b()), true(), ifeq(m0(e(), a(), a()), true(), p1(d(), d(), b()), true()), true()) = true()
% 246.21/246.45 ifeq(k0(e()), true(), ifeq(l0(c()), true(), ifeq(k1(A), true(), p1(A, A, A), true()), true()), true()) = true()
% 246.21/246.45 ifeq(n1(H, J, G), true(), ifeq(l0(I), true(), ifeq(n0(H, H), true(), p1(G, G, G), true()), true()), true()) = true()
% 246.21/246.45 ifeq(m1(C, D, B), true(), ifeq(l0(F), true(), ifeq(q0(D, E), true(), p1(B, B, B), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p1(J, H, A), true(), ifeq(m0(J, H, A), true(), p1(H, I, J), true()), true()) = true()
% 246.21/246.45 ifeq(m1(F, G, b()), true(), ifeq(k0(G), true(), p1(F, b(), G), true()), true()) = true()
% 246.21/246.45 ifeq(m0(b(), E, b()), true(), ifeq(l1(D, b()), true(), p1(D, D, D), true()), true()) = true()
% 246.21/246.45 ifeq(p0(C, B), true(), p1(B, B, B), true()) = true()
% 246.21/246.45 ifeq(l0(I), true(), ifeq(m0(J, A, I), true(), p1(I, I, I), true()), true()) = true()
% 246.21/246.45 ifeq(p1(a(), a(), a()), true(), ifeq(r0(b()), true(), p1(a(), b(), a()), true()), true()) = true()
% 246.21/246.45 ifeq(l0(a()), true(), p1(a(), a(), a()), true()) = true()
% 246.21/246.45 ifeq(n1(c(), d(), H), true(), ifeq(r0(d()), true(), ifeq(s0(H), true(), ifeq(n0(c(), H), true(), p1(d(), d(), H), true()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(k0(e()), true(), ifeq(r0(e()), true(), p1(e(), e(), e()), true()), true()) = true()
% 246.21/246.45 ifeq(n1(D, C, G), true(), ifeq(q0(D, E), true(), ifeq(k1(F), true(), p1(C, C, C), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(C, J), true(), ifeq(n0(B, A), true(), q1(J, A, J), true()), true()) = true()
% 246.21/246.45 ifeq(q0(I, H), true(), q1(H, H, H), true()) = true()
% 246.21/246.45 ifeq(k0(b()), true(), ifeq(l0(c()), true(), ifeq(s0(e()), true(), q1(b(), e(), e()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(G, F), true(), q1(F, G, G), true()) = true()
% 246.21/246.45 ifeq(q1(E, C, D), true(), ifeq(n1(C, D, D), true(), ifeq(m1(B, D, C), true(), ifeq(p0(C, E), true(), q1(B, B, B), true()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(s0(A), true(), q1(A, A, A), true()) = true()
% 246.21/246.45 ifeq(m0(I, I, J), true(), ifeq(s0(H), true(), q1(H, H, H), true()), true()) = true()
% 246.21/246.45 ifeq(q1(F, F, G), true(), ifeq(k0(G), true(), ifeq(l0(E), true(), q1(E, F, F), true()), true()), true()) = true()
% 246.21/246.45 ifeq(n0(D, C), true(), q1(C, C, C), true()) = true()
% 246.21/246.45 ifeq(p1(b(), b(), B), true(), ifeq(q0(B, b()), true(), ifeq(k1(B), true(), q1(B, B, B), true()), true()), true()) = true()
% 246.21/246.45 ifeq(k0(J), true(), ifeq(l0(A), true(), q1(J, J, J), true()), true()) = true()
% 246.21/246.45 ifeq(m0(I, c(), b()), true(), q1(I, I, I), true()) = true()
% 246.21/246.45 ifeq(l0(E), true(), ifeq(p0(H, E), true(), ifeq(r0(G), true(), ifeq(q0(F, F), true(), q1(E, F, E), true()), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(D, d()), true(), ifeq(s0(C), true(), q1(C, C, D), true()), true()) = true()
% 246.21/246.45 ifeq(s0(B), true(), q1(B, B, B), true()) = true()
% 246.21/246.45 ifeq(m0(e(), d(), A), true(), ifeq(m0(A, d(), A), true(), q1(e(), A, A), true()), true()) = true()
% 246.21/246.45 ifeq(p1(H, b(), b()), true(), ifeq(p0(I, J), true(), ifeq(q0(b(), b()), true(), q1(H, H, H), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(G, G), true(), ifeq(q0(F, E), true(), ifeq(k1(E), true(), q1(E, E, F), true()), true()), true()) = true()
% 246.21/246.45 ifeq(m0(C, D, B), true(), q1(B, B, B), true()) = true()
% 246.21/246.45 ifeq(m1(c(), d(), a()), true(), ifeq(m0(c(), b(), a()), true(), q1(d(), d(), c()), true()), true()) = true()
% 246.21/246.45 ifeq(s0(b()), true(), ifeq(k1(A), true(), q1(A, A, A), true()), true()) = true()
% 246.21/246.45 ifeq(m1(H, I, I), true(), ifeq(r0(J), true(), q1(H, H, I), true()), true()) = true()
% 246.21/246.45 ifeq(k0(G), true(), ifeq(m0(F, F, G), true(), q1(F, F, F), true()), true()) = true()
% 246.21/246.45 ifeq(l0(b()), true(), q1(b(), b(), b()), true()) = true()
% 246.21/246.45 ifeq(r0(E), true(), q1(E, E, E), true()) = true()
% 246.21/246.45 ifeq(k0(e()), true(), ifeq(s0(d()), true(), q1(d(), d(), d()), true()), true()) = true()
% 246.21/246.45 ifeq(n1(D, d(), C), true(), ifeq(p0(b(), d()), true(), ifeq(s0(b()), true(), q1(C, C, C), true()), true()), true()) = true()
% 246.21/246.45 ifeq(s0(b()), true(), ifeq(s0(B), true(), q1(B, b(), b()), true()), true()) = true()
% 246.21/246.45 ifeq(r0(b()), true(), q1(b(), b(), b()), true()) = true()
% 246.21/246.45 ifeq(m0(J, A, I), true(), q1(I, I, I), true()) = true()
% 246.21/246.45 ifeq(m0(G, H, G), true(), q1(G, G, G), true()) = true()
% 246.21/246.45 ifeq(r0(F), true(), ifeq(m0(c(), F, F), true(), q1(F, F, F), true()), true()) = true()
% 246.21/246.45 ifeq(q1(d(), E, d()), true(), ifeq(q0(D, E), true(), ifeq(s0(d()), true(), r1(D), true()), true()), true()) = true()
% 246.21/246.45 ifeq(p0(I, I), true(), s1(I), true()) = true()
% 246.21/246.45 ifeq(s1(H), true(), ifeq(q0(F, G), true(), s1(F), true()), true()) = true()
% 246.21/246.45 ifeq(k2(F, D), true(), ifeq(m1(E, D, C), true(), ifeq(k1(F), true(), k2(C, D), true()), true()), true()) = true()
% 246.21/246.45 ifeq(q1(B, B, d()), true(), ifeq(n1(e(), d(), B), true(), ifeq(m1(B, e(), B), true(), k2(B, B), true()), true()), true()) = true()
% 246.21/246.45 ifeq(q1(A, J, J), true(), k2(J, J), true()) = true()
% 246.21/246.45 ifeq(l1(e(), e()), true(), k2(e(), e()), true()) = true()
% 246.21/246.45 ifeq(l2(E, E), true(), ifeq(s1(D), true(), ifeq(n0(e(), E), true(), l2(D, E), true()), true()), true()) = true()
% 246.21/246.46 ifeq(s1(B), true(), ifeq(p0(A, A), true(), ifeq(m0(C, B, J), true(), l2(J, J), true()), true()), true()) = true()
% 246.21/246.46 ifeq(m1(I, H, H), true(), ifeq(p0(H, G), true(), ifeq(m0(H, G, I), true(), l2(G, G), true()), true()), true()) = true()
% 246.21/246.46 ifeq(s0(F), true(), ifeq(l1(G, H), true(), m2(F), true()), true()) = true()
% 246.21/246.46 ifeq(k1(b()), true(), m2(b()), true()) = true()
% 246.21/246.46 ifeq(p1(B, C, A), true(), n2(A), true()) = true()
% 246.21/246.46 ifeq(q1(c(), a(), d()), true(), ifeq(n1(e(), a(), e()), true(), ifeq(m1(b(), a(), e()), true(), ifeq(k1(c()), true(), n2(a()), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(k0(b()), true(), ifeq(l1(e(), c()), true(), n2(c()), true()), true()) = true()
% 246.21/246.46 ifeq(r1(b()), true(), ifeq(p1(b(), I, J), true(), ifeq(r0(e()), true(), n2(e()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(q1(B, a(), B), true(), p2(B, a(), B), true()) = true()
% 246.21/246.46 ifeq(l2(a(), A), true(), ifeq(k2(J, a()), true(), ifeq(k0(A), true(), ifeq(k1(A), true(), p2(J, J, J), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(q1(e(), e(), e()), true(), ifeq(l1(c(), b()), true(), p2(c(), e(), e()), true()), true()) = true()
% 246.21/246.46 ifeq(k2(c(), a()), true(), ifeq(n1(c(), I, I), true(), ifeq(p0(b(), I), true(), ifeq(r0(e()), true(), p2(b(), c(), a()), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(p1(G, H, e()), true(), ifeq(r0(e()), true(), p2(e(), G, H), true()), true()) = true()
% 246.21/246.46 ifeq(p2(C, D, C), true(), ifeq(p1(C, E, F), true(), ifeq(l1(E, F), true(), p2(C, D, D), true()), true()), true()) = true()
% 246.21/246.46 ifeq(r1(d()), true(), ifeq(l1(e(), c()), true(), p2(e(), c(), c()), true()), true()) = true()
% 246.21/246.46 ifeq(p2(A, J, A), true(), ifeq(m1(A, B, J), true(), p2(J, J, J), true()), true()) = true()
% 246.21/246.46 ifeq(r1(a()), true(), ifeq(m0(I, H, d()), true(), p2(H, H, d()), true()), true()) = true()
% 246.21/246.46 ifeq(m1(G, G, F), true(), p2(F, F, F), true()) = true()
% 246.21/246.46 ifeq(s0(d()), true(), ifeq(k1(d()), true(), p2(d(), d(), d()), true()), true()) = true()
% 246.21/246.46 ifeq(p2(C, D, C), true(), ifeq(n1(E, D, E), true(), ifeq(p0(C, D), true(), p2(C, D, D), true()), true()), true()) = true()
% 246.21/246.46 ifeq(n1(d(), d(), B), true(), p2(B, B, B), true()) = true()
% 246.21/246.46 ifeq(q1(A, A, A), true(), p2(A, A, A), true()) = true()
% 246.21/246.46 ifeq(p2(e(), H, I), true(), ifeq(k1(J), true(), p2(H, I, I), true()), true()) = true()
% 246.21/246.46 ifeq(q1(a(), G, F), true(), ifeq(n1(e(), F, a()), true(), p2(F, e(), G), true()), true()) = true()
% 246.21/246.46 ifeq(l1(E, d()), true(), p2(E, E, E), true()) = true()
% 246.21/246.46 ifeq(p2(B, D, B), true(), ifeq(s1(c()), true(), ifeq(q1(c(), B, D), true(), ifeq(s0(e()), true(), p2(B, B, C), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(k1(A), true(), p2(A, A, A), true()) = true()
% 246.21/246.46 ifeq(p2(a(), J, H), true(), ifeq(m1(a(), a(), I), true(), p2(H, H, H), true()), true()) = true()
% 246.21/246.46 ifeq(p1(d(), b(), e()), true(), p2(d(), b(), b()), true()) = true()
% 246.21/246.46 ifeq(q1(e(), c(), G), true(), ifeq(p1(G, b(), b()), true(), ifeq(n1(e(), e(), G), true(), p2(b(), c(), c()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(k2(E, c()), true(), ifeq(q1(F, c(), F), true(), p2(E, E, E), true()), true()) = true()
% 246.21/246.46 ifeq(p2(D, C, B), true(), ifeq(r1(C), true(), ifeq(p0(B, B), true(), p2(B, B, B), true()), true()), true()) = true()
% 246.21/246.46 ifeq(p2(J, J, A), true(), ifeq(q1(J, A, J), true(), p2(I, I, I), true()), true()) = true()
% 246.21/246.46 ifeq(m1(a(), H, d()), true(), ifeq(n0(H, d()), true(), p2(a(), H, d()), true()), true()) = true()
% 246.21/246.46 ifeq(s1(G), true(), ifeq(k1(G), true(), p2(G, G, G), true()), true()) = true()
% 246.21/246.46 ifeq(l2(e(), b()), true(), ifeq(r1(e()), true(), ifeq(m1(d(), a(), c()), true(), ifeq(l1(e(), c()), true(), p2(a(), c(), b()), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(q1(E, E, E), true(), ifeq(p1(D, F, D), true(), p2(D, D, D), true()), true()) = true()
% 246.21/246.46 ifeq(n1(C, e(), e()), true(), p2(C, e(), C), true()) = true()
% 246.21/246.46 ifeq(n1(B, B, B), true(), ifeq(p0(A, A), true(), p2(A, A, A), true()), true()) = true()
% 246.21/246.46 ifeq(p1(e(), e(), a()), true(), p2(a(), a(), a()), true()) = true()
% 246.21/246.46 ifeq(r1(J), true(), ifeq(r0(I), true(), p2(I, I, I), true()), true()) = true()
% 246.21/246.46 ifeq(n2(H), true(), ifeq(k1(e()), true(), p2(H, H, H), true()), true()) = true()
% 246.21/246.46 ifeq(l1(G, F), true(), p2(F, F, F), true()) = true()
% 246.21/246.46 ifeq(m1(E, D, E), true(), p2(D, E, D), true()) = true()
% 246.21/246.46 ifeq(p1(E, E, E), true(), ifeq(k0(F), true(), q2(E, F, F), true()), true()) = true()
% 246.21/246.46 ifeq(n1(C, B, D), true(), ifeq(q0(C, B), true(), q2(B, B, B), true()), true()) = true()
% 246.21/246.46 ifeq(n1(J, J, A), true(), ifeq(k1(A), true(), q2(J, J, J), true()), true()) = true()
% 246.21/246.46 ifeq(q2(d(), c(), a()), true(), ifeq(s1(c()), true(), ifeq(q0(e(), c()), true(), q2(d(), a(), a()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(p1(I, I, I), true(), q2(I, I, I), true()) = true()
% 246.21/246.46 ifeq(q2(G, H, F), true(), ifeq(p1(F, F, H), true(), ifeq(n1(G, F, H), true(), q2(F, G, F), true()), true()), true()) = true()
% 246.21/246.46 ifeq(l2(E, D), true(), ifeq(l0(c()), true(), ifeq(k1(E), true(), q2(D, c(), E), true()), true()), true()) = true()
% 246.21/246.46 ifeq(q1(C, c(), B), true(), q2(B, B, B), true()) = true()
% 246.21/246.46 ifeq(q2(A, A, J), true(), ifeq(n1(J, d(), A), true(), ifeq(k1(I), true(), q2(I, I, I), true()), true()), true()) = true()
% 246.21/246.46 ifeq(l1(H, G), true(), q2(G, G, H), true()) = true()
% 246.21/246.46 ifeq(q2(D, D, D), true(), ifeq(r1(D), true(), ifeq(k0(D), true(), ifeq(m0(E, F, C), true(), q2(C, D, C), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(r1(G), true(), ifeq(l0(G), true(), r2(G), true()), true()) = true()
% 246.21/246.46 ifeq(q2(b(), H, b()), true(), ifeq(s1(b()), true(), s2(H), true()), true()) = true()
% 246.21/246.46 ifeq(s1(a()), true(), ifeq(s0(d()), true(), s2(d()), true()), true()) = true()
% 246.21/246.46 ifeq(s1(d()), true(), ifeq(r1(d()), true(), s2(d()), true()), true()) = true()
% 246.21/246.46 ifeq(p2(B, A, C), true(), ifeq(s1(A), true(), ifeq(n0(J, C), true(), k3(J, A, J), true()), true()), true()) = true()
% 246.21/246.46 ifeq(s2(I), true(), ifeq(q2(d(), I, d()), true(), ifeq(s1(H), true(), k3(H, H, H), true()), true()), true()) = true()
% 246.21/246.46 ifeq(k2(G, F), true(), k3(F, F, G), true()) = true()
% 246.21/246.46 ifeq(s2(e()), true(), ifeq(k2(c(), e()), true(), k3(c(), c(), c()), true()), true()) = true()
% 246.21/246.46 ifeq(p2(D, E, D), true(), ifeq(m1(C, C, E), true(), k3(C, C, C), true()), true()) = true()
% 246.21/246.46 ifeq(l2(B, b()), true(), ifeq(k1(A), true(), k3(A, A, A), true()), true()) = true()
% 246.21/246.46 ifeq(r2(c()), true(), ifeq(k0(a()), true(), k3(c(), c(), c()), true()), true()) = true()
% 246.21/246.46 ifeq(k3(F, G, G), true(), ifeq(p2(G, H, e()), true(), ifeq(s1(G), true(), k3(F, F, F), true()), true()), true()) = true()
% 246.21/246.46 ifeq(m2(E), true(), ifeq(m2(D), true(), ifeq(p1(C, D, B), true(), k3(B, B, C), true()), true()), true()) = true()
% 246.21/246.46 ifeq(k3(H, A, J), true(), ifeq(k2(G, J), true(), ifeq(q0(I, H), true(), k3(G, G, H), true()), true()), true()) = true()
% 246.21/246.46 ifeq(r2(a()), true(), ifeq(l2(e(), b()), true(), ifeq(p1(a(), d(), b()), true(), k3(d(), d(), d()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(r2(a()), true(), k3(a(), a(), a()), true()) = true()
% 246.21/246.46 ifeq(p2(F, E, E), true(), k3(E, E, E), true()) = true()
% 246.21/246.46 ifeq(p2(D, C, C), true(), k3(C, D, C), true()) = true()
% 246.21/246.46 ifeq(r2(c()), true(), ifeq(l1(b(), I), true(), k3(I, I, I), true()), true()) = true()
% 246.21/246.46 ifeq(k3(G, H, G), true(), ifeq(s2(E), true(), ifeq(m2(F), true(), ifeq(l1(G, H), true(), k3(E, E, E), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(n2(D), true(), k3(D, D, D), true()) = true()
% 246.21/246.46 ifeq(r2(e()), true(), ifeq(l0(C), true(), ifeq(r0(e()), true(), k3(C, C, C), true()), true()), true()) = true()
% 246.21/246.46 ifeq(m2(B), true(), k3(B, B, B), true()) = true()
% 246.21/246.46 ifeq(p2(J, A, A), true(), ifeq(r1(I), true(), k3(I, I, I), true()), true()) = true()
% 246.21/246.46 ifeq(r2(c()), true(), k3(c(), c(), c()), true()) = true()
% 246.21/246.46 ifeq(p2(G, H, G), true(), ifeq(r0(G), true(), l3(G, H), true()), true()) = true()
% 246.21/246.46 ifeq(p2(E, F, D), true(), ifeq(p1(D, D, E), true(), l3(D, D), true()), true()) = true()
% 246.21/246.46 ifeq(n2(C), true(), ifeq(m2(b()), true(), l3(C, C), true()), true()) = true()
% 246.21/246.46 ifeq(r2(B), true(), l3(B, B), true()) = true()
% 246.21/246.46 ifeq(l3(A, A), true(), ifeq(n2(J), true(), ifeq(l1(A, I), true(), l3(I, I), true()), true()), true()) = true()
% 246.21/246.46 ifeq(s2(H), true(), ifeq(l1(G, G), true(), l3(G, G), true()), true()) = true()
% 246.21/246.46 ifeq(k2(a(), d()), true(), l3(d(), d()), true()) = true()
% 246.21/246.46 ifeq(k3(E, D, D), true(), ifeq(l2(F, F), true(), l3(D, D), true()), true()) = true()
% 246.21/246.46 ifeq(k2(b(), c()), true(), l3(c(), c()), true()) = true()
% 246.21/246.46 ifeq(k3(a(), c(), a()), true(), ifeq(s2(d()), true(), ifeq(r0(b()), true(), l3(d(), c()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(s2(B), true(), ifeq(l2(C, J), true(), ifeq(m0(B, B, A), true(), ifeq(m0(J, C, C), true(), m3(J, A, J), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(m3(G, I, G), true(), ifeq(l2(a(), a()), true(), ifeq(k2(H, I), true(), ifeq(n0(I, a()), true(), m3(G, G, G), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(s2(E), true(), ifeq(r2(C), true(), ifeq(q0(D, E), true(), ifeq(s0(F), true(), m3(C, C, C), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(m3(B, J, B), true(), ifeq(n2(J), true(), ifeq(m2(A), true(), m3(J, A, A), true()), true()), true()) = true()
% 246.21/246.46 ifeq(q2(a(), b(), a()), true(), m3(b(), b(), b()), true()) = true()
% 246.21/246.46 ifeq(q2(b(), c(), d()), true(), ifeq(m2(d()), true(), ifeq(l1(d(), b()), true(), m3(c(), b(), d()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(r2(H), true(), ifeq(k2(c(), I), true(), m3(H, I, H), true()), true()) = true()
% 246.21/246.46 ifeq(n2(G), true(), ifeq(l2(G, G), true(), m3(G, G, G), true()), true()) = true()
% 246.21/246.46 ifeq(n2(E), true(), ifeq(m2(F), true(), m3(E, E, E), true()), true()) = true()
% 246.21/246.46 ifeq(p2(D, e(), e()), true(), ifeq(n2(e()), true(), m3(D, e(), e()), true()), true()) = true()
% 246.21/246.46 ifeq(k3(B, C, B), true(), ifeq(r2(C), true(), m3(B, B, C), true()), true()) = true()
% 246.21/246.46 ifeq(n2(A), true(), m3(A, A, A), true()) = true()
% 246.21/246.46 ifeq(s2(c()), true(), ifeq(q2(J, c(), c()), true(), m3(J, c(), J), true()), true()) = true()
% 246.21/246.46 ifeq(p2(I, I, I), true(), m3(I, I, I), true()) = true()
% 246.21/246.46 ifeq(l2(a(), b()), true(), m3(b(), b(), b()), true()) = true()
% 246.21/246.46 ifeq(p2(E, F, D), true(), n3(D), true()) = true()
% 246.21/246.46 ifeq(q2(F, d(), C), true(), ifeq(k2(D, E), true(), p3(C, D, E), true()), true()) = true()
% 246.21/246.46 ifeq(k3(A, B, J), true(), ifeq(r2(A), true(), p3(J, A, B), true()), true()) = true()
% 246.21/246.46 ifeq(n3(I), true(), ifeq(l3(b(), e()), true(), ifeq(q2(I, d(), I), true(), ifeq(p2(d(), b(), c()), true(), p3(I, d(), e()), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(n2(H), true(), p3(H, H, H), true()) = true()
% 246.21/246.46 ifeq(p3(G, G, F), true(), ifeq(l3(F, E), true(), ifeq(l1(F, F), true(), p3(E, E, E), true()), true()), true()) = true()
% 246.21/246.46 ifeq(l2(D, D), true(), p3(D, D, D), true()) = true()
% 246.21/246.46 ifeq(q2(B, C, A), true(), ifeq(n2(A), true(), ifeq(s1(B), true(), p3(A, A, A), true()), true()), true()) = true()
% 246.21/246.46 ifeq(n3(I), true(), ifeq(p2(J, I, I), true(), p3(I, I, I), true()), true()) = true()
% 246.21/246.46 ifeq(n2(H), true(), ifeq(k1(H), true(), p3(H, H, H), true()), true()) = true()
% 246.21/246.46 ifeq(q2(F, G, E), true(), ifeq(k1(E), true(), p3(E, E, E), true()), true()) = true()
% 246.21/246.46 ifeq(m3(B, C, D), true(), ifeq(p2(A, B, D), true(), p3(A, B, B), true()), true()) = true()
% 246.21/246.46 ifeq(k2(J, J), true(), ifeq(q0(I, H), true(), p3(H, H, H), true()), true()) = true()
% 246.21/246.46 ifeq(k2(c(), b()), true(), p3(b(), c(), b()), true()) = true()
% 246.21/246.46 ifeq(m3(e(), G, e()), true(), ifeq(q2(G, G, b()), true(), p3(e(), b(), e()), true()), true()) = true()
% 246.21/246.46 ifeq(q2(I, G, H), true(), ifeq(n0(I, G), true(), q3(G, H), true()), true()) = true()
% 246.21/246.46 ifeq(q3(F, E), true(), ifeq(p2(F, E, E), true(), q3(E, E), true()), true()) = true()
% 246.21/246.46 ifeq(q3(C, B), true(), ifeq(s2(B), true(), ifeq(n1(D, B, C), true(), q3(B, C), true()), true()), true()) = true()
% 246.21/246.46 ifeq(r2(I), true(), ifeq(l2(A, A), true(), ifeq(s1(J), true(), q3(I, I), true()), true()), true()) = true()
% 246.21/246.46 ifeq(q3(H, G), true(), ifeq(r2(d()), true(), ifeq(m0(H, d(), H), true(), ifeq(k1(G), true(), q3(G, G), true()), true()), true()), true()) = true()
% 246.21/246.46 ifeq(s2(H), true(), ifeq(l2(c(), G), true(), r3(G, H, H), true()), true()) = true()
% 246.21/246.46 ifeq(r2(D), true(), ifeq(n1(F, F, F), true(), ifeq(l1(E, F), true(), r3(D, D, D), true()), true()), true()) = true()
% 246.21/246.46 ifeq(r3(A, B, A), true(), ifeq(l2(C, B), true(), ifeq(p1(B, C, A), true(), r3(A, A, A), true()), true()), true()) = true()
% 246.21/246.46 ifeq(r3(I, I, J), true(), ifeq(m0(d(), J, I), true(), r3(I, I, I), true()), true()) = true()
% 246.21/246.46 ifeq(s2(H), true(), r3(H, H, H), true()) = true()
% 246.21/246.46 ifeq(l2(G, F), true(), r3(F, F, F), true()) = true()
% 246.21/246.46 ifeq(r2(E), true(), r3(E, E, E), true()) = true()
% 246.21/246.46 ifeq(p2(B, D, C), true(), r3(B, C, B), true()) = true()
% 246.21/246.46 ifeq(r3(I, A, A), true(), ifeq(m3(J, b(), H), true(), ifeq(m2(I), true(), r3(H, H, I), true()), true()), true()) = true()
% 246.24/246.49 ifeq(m3(a(), G, G), true(), ifeq(q2(G, e(), G), true(), ifeq(m2(b()), true(), ifeq(k2(a(), a()), true(), r3(a(), a(), e()), true()), true()), true()), true()) = true()
% 246.24/246.49 ifeq(p2(b(), F, b()), true(), ifeq(l2(F, F), true(), ifeq(r0(F), true(), r3(F, b(), F), true()), true()), true()) = true()
% 246.24/246.49 ifeq(r3(D, D, D), true(), ifeq(p3(D, C, E), true(), r3(C, C, C), true()), true()) = true()
% 246.24/246.49 ifeq(r3(B, J, J), true(), ifeq(r2(B), true(), ifeq(k2(A, B), true(), r3(J, A, B), true()), true()), true()) = true()
% 246.24/246.49 ifeq(s2(I), true(), ifeq(q2(A, I, A), true(), ifeq(m0(A, B, J), true(), s3(I, J), true()), true()), true()) = true()
% 246.24/246.49 ifeq(q3(e(), b()), true(), ifeq(n3(e()), true(), ifeq(n0(c(), d()), true(), k4(c()), true()), true()), true()) = true()
% 246.24/246.49 ifeq(r3(C, e(), D), true(), ifeq(q3(C, C), true(), ifeq(q1(a(), a(), D), true(), k4(e()), true()), true()), true()) = true()
% 246.24/246.49 ifeq(p3(A, B, J), true(), l4(J), true()) = true()
% 246.24/246.49 ifeq(l4(I), true(), ifeq(m0(I, H, H), true(), l4(H), true()), true()) = true()
% 246.24/246.49 ifeq(s3(a(), E), true(), ifeq(l2(G, F), true(), m4(E, F), true()), true()) = true()
% 246.24/246.49 ifeq(n4(J, J), true(), ifeq(p3(J, A, A), true(), n4(J, A), true()), true()) = true()
% 246.24/246.49 ifeq(k3(c(), c(), e()), true(), ifeq(q1(d(), d(), d()), true(), n4(d(), d()), true()), true()) = true()
% 246.24/246.49 ifeq(p3(b(), e(), a()), true(), ifeq(l3(b(), a()), true(), n4(e(), e()), true()), true()) = true()
% 246.24/246.49 ifeq(k4(I), true(), ifeq(m3(H, H, H), true(), n4(H, H), true()), true()) = true()
% 246.24/246.49 ifeq(r3(H, G, H), true(), ifeq(r0(G), true(), p4(G, G, H), true()), true()) = true()
% 246.24/246.49 ifeq(q3(E, F), true(), ifeq(n3(D), true(), p4(D, D, D), true()), true()) = true()
% 246.24/246.49 ifeq(k3(B, B, C), true(), p4(B, C, B), true()) = true()
% 246.24/246.49 ifeq(p4(J, J, A), true(), ifeq(r3(I, I, H), true(), p4(H, I, I), true()), true()) = true()
% 246.24/246.49 ifeq(p4(F, G, F), true(), ifeq(l4(D), true(), ifeq(n0(D, E), true(), p4(D, D, D), true()), true()), true()) = true()
% 246.24/246.49 ifeq(p4(A, C, A), true(), ifeq(m3(B, C, A), true(), p4(A, A, A), true()), true()) = true()
% 246.24/246.49 ifeq(p3(J, J, I), true(), p4(I, I, I), true()) = true()
% 246.24/246.49 ifeq(n4(F, H), true(), ifeq(k3(G, H, H), true(), ifeq(p1(H, G, F), true(), p4(F, F, F), true()), true()), true()) = true()
% 246.24/246.49 ifeq(n4(E, C), true(), ifeq(q3(D, E), true(), ifeq(l3(D, D), true(), p4(C, C, C), true()), true()), true()) = true()
% 246.24/246.49 ifeq(n3(a()), true(), ifeq(m3(B, c(), a()), true(), p4(c(), c(), B), true()), true()) = true()
% 246.24/246.49 ifeq(m3(E, F, E), true(), ifeq(k3(D, D, B), true(), ifeq(q2(E, C, B), true(), q4(B, C), true()), true()), true()) = true()
% 246.24/246.49 ifeq(q4(J, A), true(), ifeq(l4(J), true(), ifeq(r1(I), true(), q4(I, I), true()), true()), true()) = true()
% 246.24/246.49 ifeq(k3(c(), e(), b()), true(), ifeq(l1(b(), c()), true(), q4(b(), b()), true()), true()) = true()
% 246.24/246.49 ifeq(q3(H, I), true(), ifeq(n3(G), true(), ifeq(p0(J, G), true(), r4(G), true()), true()), true()) = true()
% 246.24/246.49 ifeq(p3(B, C, D), true(), ifeq(l1(A, C), true(), s4(A), true()), true()) = true()
% 246.24/246.49 ifeq(s4(F), true(), ifeq(r3(G, E, E), true(), k5(E), true()), true()) = true()
% 246.24/246.49 ifeq(s4(e()), true(), ifeq(n1(b(), b(), b()), true(), k5(b()), true()), true()) = true()
% 246.24/246.49 ifeq(q4(I, I), true(), ifeq(k1(H), true(), l5(H), true()), true()) = true()
% 246.24/246.49 ifeq(p4(D, F, E), true(), ifeq(r0(D), true(), m5(D, E), true()), true()) = true()
% 246.24/246.49 ifeq(k4(C), true(), m5(C, C), true()) = true()
% 246.24/246.49 ifeq(s4(B), true(), ifeq(m4(e(), e()), true(), m5(B, B), true()), true()) = true()
% 246.24/246.49 ifeq(s4(A), true(), ifeq(r0(J), true(), m5(J, J), true()), true()) = true()
% 246.24/246.49 ifeq(n5(F, C), true(), ifeq(q4(D, E), true(), ifeq(p4(F, F, C), true(), ifeq(n4(B, E), true(), n5(B, C), true()), true()), true()), true()) = true()
% 246.24/246.49 ifeq(n5(A, J), true(), ifeq(m0(A, J, A), true(), n5(J, J), true()), true()) = true()
% 246.24/246.49 ifeq(n4(I, H), true(), n5(H, H), true()) = true()
% 246.24/246.49 ifeq(k5(d()), true(), ifeq(m4(G, G), true(), ifeq(p0(E, F), true(), n5(E, E), true()), true()), true()) = true()
% 246.24/246.49 ifeq(p4(c(), d(), c()), true(), n5(d(), d()), true()) = true()
% 246.24/246.49 ifeq(n4(b(), e()), true(), ifeq(r3(d(), b(), c()), true(), n5(b(), e()), true()), true()) = true()
% 246.24/246.49 ifeq(q4(D, C), true(), n5(C, C), true()) = true()
% 246.24/246.49 ifeq(r4(B), true(), n5(B, B), true()) = true()
% 246.24/246.49 ifeq(k4(A), true(), ifeq(s1(A), true(), n5(A, A), true()), true()) = true()
% 246.24/246.49 ifeq(p4(b(), b(), J), true(), ifeq(p4(I, H, H), true(), ifeq(s1(H), true(), n5(H, H), true()), true()), true()) = true()
% 246.24/246.49 ifeq(n4(G, d()), true(), ifeq(k3(d(), G, a()), true(), n5(d(), G), true()), true()) = true()
% 246.24/246.49 ifeq(s4(F), true(), ifeq(l2(E, E), true(), p5(E, E, F), true()), true()) = true()
% 246.24/246.49 ifeq(p5(B, D, B), true(), ifeq(m4(D, C), true(), ifeq(l2(B, D), true(), p5(B, C, C), true()), true()), true()) = true()
% 246.24/246.49 ifeq(q4(J, A), true(), ifeq(s1(I), true(), p5(I, J, I), true()), true()) = true()
% 246.24/246.49 ifeq(k5(b()), true(), ifeq(p4(G, G, H), true(), p5(b(), b(), b()), true()), true()) = true()
% 246.24/246.49 ifeq(s4(J), true(), ifeq(m2(A), true(), q5(J, A), true()), true()) = true()
% 246.24/246.49 ifeq(r4(a()), true(), q5(a(), a()), true()) = true()
% 246.24/246.49 ifeq(l4(I), true(), q5(I, I), true()) = true()
% 246.24/246.49 ifeq(q4(H, H), true(), q5(H, H), true()) = true()
% 246.24/246.49 ifeq(m4(G, G), true(), q5(G, G), true()) = true()
% 246.24/246.49 ifeq(s4(C), true(), ifeq(n3(D), true(), ifeq(k0(b()), true(), r5(C, D), true()), true()), true()) = true()
% 246.24/246.49 ifeq(k4(B), true(), r5(B, B), true()) = true()
% 246.24/246.49 ifeq(r4(I), true(), ifeq(l4(H), true(), s5(H), true()), true()) = true()
% 246.24/246.49 ifeq(s5(G), true(), ifeq(l5(G), true(), ifeq(k4(E), true(), ifeq(s3(E, F), true(), s5(E), true()), true()), true()), true()) = true()
% 246.24/246.49 goal:
% 246.24/246.49 k5(b()) != true()
% 246.24/246.49 To show the unsatisfiability of the original goal,
% 246.24/246.49 it suffices to show that k5(b()) = true() (skolemized goal) is valid under the axioms.
% 246.24/246.49 Here is an equational proof:
% 246.24/246.49 0: ifeq(X0, X0, X1, X2) = X1.
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 1: s0(d()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 3: n0(d(), e()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 5: s0(b()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 7: n0(d(), b()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 9: r0(b()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 13: r0(e()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 14: p0(b(), X3) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 17: q0(X3, d()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 18: p0(c(), b()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 19: m0(X3, d(), X4) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 21: q0(b(), e()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 24: l0(c()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 30: n0(e(), e()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 31: m0(b(), b(), e()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 34: n0(c(), d()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 37: n0(b(), a()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 39: ifeq(n0(X5, X6), true(), k1(X6), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 40: ifeq(n0(X7, X8), true(), l1(X8, X8), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 43: ifeq(m0(X2, X2, X1), true(), m1(X1, X2, X1), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 50: ifeq(r0(e()), true(), m1(e(), e(), e()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 51: ifeq(q0(X6, X7), true(), m1(X7, X7, X7), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 52: ifeq(m0(X10, X8, X9), true(), m1(X9, X9, X9), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 53: ifeq(l0(X11), true(), ifeq(m0(X2, X2, X1), true(), m1(X1, X2, X2), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 55: ifeq(q0(X8, d()), true(), ifeq(s0(X10), true(), m1(X10, X10, X10), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 56: ifeq(q0(X11, X9), true(), ifeq(q0(X11, X2), true(), m1(X2, X2, X2), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 71: ifeq(m1(X9, X11, X2), true(), ifeq(q0(X11, X11), true(), m1(X2, X2, X2), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 74: ifeq(m0(b(), X1, X0), true(), n1(X0, X0, X1), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 83: ifeq(q0(d(), d()), true(), n1(d(), d(), d()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 94: ifeq(r0(X11), true(), n1(X11, X11, X11), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 99: ifeq(n1(X9, X11, X9), true(), ifeq(m0(X9, X9, X10), true(), n1(X11, X11, X11), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 103: ifeq(n0(X7, X8), true(), p1(X8, X8, X8), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 121: ifeq(p0(X2, X1), true(), p1(X1, X1, X1), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 128: ifeq(p0(X2, X5), true(), ifeq(n0(X1, X0), true(), q1(X5, X0, X5), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 136: ifeq(n0(X11, X2), true(), q1(X2, X2, X2), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 143: ifeq(m0(e(), d(), X0), true(), ifeq(m0(X0, d(), X0), true(), q1(e(), X0, X0), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 161: ifeq(p0(X6, X6), true(), s1(X6), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 162: ifeq(s1(X7), true(), ifeq(q0(X10, X8), true(), s1(X10), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 165: ifeq(q1(X0, X5, X5), true(), k2(X5, X5), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 171: ifeq(k1(b()), true(), m2(b()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 172: ifeq(p1(X1, X2, X0), true(), n2(X0), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 188: ifeq(n1(d(), d(), X1), true(), p2(X1, X1, X1), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 190: ifeq(p2(e(), X7, X6), true(), ifeq(k1(X5), true(), p2(X7, X6, X6), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 198: ifeq(k2(X9, c()), true(), ifeq(q1(X10, c(), X10), true(), p2(X9, X9, X9), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 209: ifeq(n2(X7), true(), ifeq(k1(e()), true(), p2(X7, X7, X7), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 210: ifeq(l1(X8, X10), true(), p2(X10, X10, X10), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 211: ifeq(m1(X9, X11, X9), true(), p2(X11, X9, X11), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 216: ifeq(p1(X6, X6, X6), true(), q2(X6, X6, X6), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 219: ifeq(q1(X2, c(), X1), true(), q2(X1, X1, X1), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 221: ifeq(l1(X7, X8), true(), q2(X8, X8, X7), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 225: ifeq(s1(a()), true(), ifeq(s0(d()), true(), s2(d()), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 243: ifeq(n2(X11), true(), k3(X11, X11, X11), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 250: ifeq(n2(X2), true(), ifeq(m2(b()), true(), l3(X2, X2), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 255: ifeq(k3(X9, X11, X11), true(), ifeq(l2(X10, X10), true(), l3(X11, X11), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 273: ifeq(p2(X9, X10, X11), true(), n3(X11), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 274: ifeq(q2(X10, d(), X2), true(), ifeq(k2(X11, X9), true(), p3(X2, X11, X9), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 277: ifeq(n2(X7), true(), p3(X7, X7, X7), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 279: ifeq(l2(X11, X11), true(), p3(X11, X11, X11), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 280: ifeq(q2(X1, X2, X0), true(), ifeq(n2(X0), true(), ifeq(s1(X1), true(), p3(X0, X0, X0), true()), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 293: ifeq(s2(X7), true(), ifeq(l2(c(), X8), true(), r3(X8, X7, X7), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 296: ifeq(r3(X6, X6, X5), true(), ifeq(m0(d(), X5, X6), true(), r3(X6, X6, X6), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 298: ifeq(l2(X8, X10), true(), r3(X10, X10, X10), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 300: ifeq(p2(X1, X11, X2), true(), r3(X1, X2, X1), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 309: ifeq(p3(X0, X1, X5), true(), l4(X5), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 320: ifeq(p4(X10, X8, X10), true(), ifeq(l4(X11), true(), ifeq(n0(X11, X9), true(), p4(X11, X11, X11), true()), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 322: ifeq(p3(X5, X5, X6), true(), p4(X6, X6, X6), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 330: ifeq(p3(X1, X2, X11), true(), ifeq(l1(X0, X2), true(), s4(X0), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 331: ifeq(s4(X10), true(), ifeq(r3(X8, X9, X9), true(), k5(X9), true()), true()) = true().
% 246.24/246.49 Proof: Axiom.
% 246.24/246.49
% 246.24/246.49 362: n0(d(), e()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 3,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 363: s0(b()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 5,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 365: n0(d(), b()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 7,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 366: r0(b()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 9,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 369: r0(e()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 13,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 370: p0(b(), X3) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 14,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 373: q0(X3, d()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 17,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 374: p0(c(), b()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 18,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 375: m0(X3, d(), X4) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 19,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 377: q0(b(), e()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 21,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 379: l0(c()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 24,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 384: n0(e(), e()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 30,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 385: m0(b(), b(), e()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 31,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 388: n0(c(), d()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 34,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 391: n0(b(), a()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 37,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 393: ifeq(n0(X5, X6), s0(d()), k1(X6), s0(d())) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 39,
% 246.24/246.49 lhs with equations [1,1]
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 394: ifeq(n0(X7, X8), s0(d()), l1(X8, X8), s0(d())) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 40,
% 246.24/246.49 lhs with equations [1,1]
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 397: ifeq(m0(X2, X2, X1), s0(d()), m1(X1, X2, X1), s0(d())) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 43,
% 246.24/246.49 lhs with equations [1,1]
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 404: m1(e(), e(), e()) = s0(d()).
% 246.24/246.49 Proof: Rewrite equation 50,
% 246.24/246.49 lhs with equations [369,1,1,0]
% 246.24/246.49 rhs with equations [1].
% 246.24/246.49
% 246.24/246.49 405: ifeq(q0(X6, X7), m1(e(), e(), e()), m1(X7, X7, X7), m1(e(), e(), e())) = m1(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 51,
% 246.24/246.49 lhs with equations [1,404,1,404]
% 246.24/246.49 rhs with equations [1,404].
% 246.24/246.49
% 246.24/246.49 406: ifeq(m0(X10, X8, X9), m1(e(), e(), e()), m1(X9, X9, X9), m1(e(), e(), e())) = m1(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 52,
% 246.24/246.49 lhs with equations [1,404,1,404]
% 246.24/246.49 rhs with equations [1,404].
% 246.24/246.49
% 246.24/246.49 407: ifeq(l0(X11), m1(e(), e(), e()), ifeq(m0(X2, X2, X1), m1(e(), e(), e()), m1(X1, X2, X2), m1(e(), e(), e())), m1(e(), e(), e())) = m1(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 53,
% 246.24/246.49 lhs with equations [1,404,1,404,1,404,1,404]
% 246.24/246.49 rhs with equations [1,404].
% 246.24/246.49
% 246.24/246.49 409: ifeq(s0(X10), m1(e(), e(), e()), m1(X10, X10, X10), m1(e(), e(), e())) = m1(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 55,
% 246.24/246.49 lhs with equations [373,404,1,404,1,404,1,404,1,404,0]
% 246.24/246.49 rhs with equations [1,404].
% 246.24/246.49
% 246.24/246.49 410: ifeq(q0(X11, X9), m1(e(), e(), e()), m1(e(), e(), e()), m1(e(), e(), e())) = m1(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 56,
% 246.24/246.49 lhs with equations [1,404,1,404,1,404,405,1,404]
% 246.24/246.49 rhs with equations [1,404].
% 246.24/246.49
% 246.24/246.49 421: ifeq(m1(X9, X11, X2), m1(e(), e(), e()), ifeq(q0(X11, X11), m1(e(), e(), e()), m1(X2, X2, X2), m1(e(), e(), e())), m1(e(), e(), e())) = m1(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 71,
% 246.24/246.49 lhs with equations [1,404,1,404,1,404,1,404]
% 246.24/246.49 rhs with equations [1,404].
% 246.24/246.49
% 246.24/246.49 424: ifeq(m0(b(), X1, X0), m1(e(), e(), e()), n1(X0, X0, X1), m1(e(), e(), e())) = m1(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 74,
% 246.24/246.49 lhs with equations [1,404,1,404]
% 246.24/246.49 rhs with equations [1,404].
% 246.24/246.49
% 246.24/246.49 433: n1(d(), d(), d()) = m1(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 83,
% 246.24/246.49 lhs with equations [373,404,1,404,1,404,0]
% 246.24/246.49 rhs with equations [1,404].
% 246.24/246.49
% 246.24/246.49 444: ifeq(r0(X11), n1(d(), d(), d()), n1(X11, X11, X11), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 94,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 449: ifeq(n1(X9, X11, X9), n1(d(), d(), d()), ifeq(m0(X9, X9, X10), n1(d(), d(), d()), n1(X11, X11, X11), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 99,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 453: ifeq(n0(X7, X8), n1(d(), d(), d()), p1(X8, X8, X8), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 103,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 471: ifeq(p0(X2, X1), n1(d(), d(), d()), p1(X1, X1, X1), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 121,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 477: ifeq(p0(X2, X5), n1(d(), d(), d()), ifeq(n0(X1, X0), n1(d(), d(), d()), q1(X5, X0, X5), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 128,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 485: ifeq(n0(X11, X2), n1(d(), d(), d()), q1(X2, X2, X2), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 136,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 491: q1(e(), X0, X0) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 143,
% 246.24/246.49 lhs with equations [375,404,433,1,404,433,375,404,433,1,404,433,1,404,433,0,1,404,433,0]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 507: ifeq(p0(X6, X6), n1(d(), d(), d()), s1(X6), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 161,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 508: ifeq(s1(X7), n1(d(), d(), d()), ifeq(q0(X10, X8), n1(d(), d(), d()), s1(X10), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 162,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 511: ifeq(q1(X0, X5, X5), n1(d(), d(), d()), k2(X5, X5), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 165,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 517: ifeq(k1(b()), n1(d(), d(), d()), m2(b()), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 171,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 518: ifeq(p1(X1, X2, X0), n1(d(), d(), d()), n2(X0), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 172,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 534: ifeq(n1(d(), d(), X1), n1(d(), d(), d()), p2(X1, X1, X1), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 188,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 536: ifeq(p2(e(), X7, X6), n1(d(), d(), d()), ifeq(k1(X5), n1(d(), d(), d()), p2(X7, X6, X6), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 190,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 544: ifeq(k2(X9, c()), n1(d(), d(), d()), ifeq(q1(X10, c(), X10), n1(d(), d(), d()), p2(X9, X9, X9), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 198,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 555: ifeq(n2(X7), n1(d(), d(), d()), ifeq(k1(e()), n1(d(), d(), d()), p2(X7, X7, X7), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 209,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 556: ifeq(l1(X8, X10), n1(d(), d(), d()), p2(X10, X10, X10), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 210,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 557: ifeq(m1(X9, X11, X9), n1(d(), d(), d()), p2(X11, X9, X11), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 211,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 562: ifeq(p1(X6, X6, X6), n1(d(), d(), d()), q2(X6, X6, X6), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 216,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 565: ifeq(q1(X2, c(), X1), n1(d(), d(), d()), q2(X1, X1, X1), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 219,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 567: ifeq(l1(X7, X8), n1(d(), d(), d()), q2(X8, X8, X7), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 221,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 571: ifeq(s1(a()), n1(d(), d(), d()), s2(d()), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 225,
% 246.24/246.49 lhs with equations [1,404,433,404,433,1,404,433,1,404,433,0,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 589: ifeq(n2(X11), n1(d(), d(), d()), k3(X11, X11, X11), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 243,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 596: ifeq(n2(X2), n1(d(), d(), d()), ifeq(m2(b()), n1(d(), d(), d()), l3(X2, X2), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 250,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 601: ifeq(k3(X9, X11, X11), n1(d(), d(), d()), ifeq(l2(X10, X10), n1(d(), d(), d()), l3(X11, X11), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 255,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 619: ifeq(p2(X9, X10, X11), n1(d(), d(), d()), n3(X11), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 273,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 620: ifeq(q2(X10, d(), X2), n1(d(), d(), d()), ifeq(k2(X11, X9), n1(d(), d(), d()), p3(X2, X11, X9), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 274,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 623: ifeq(n2(X7), n1(d(), d(), d()), p3(X7, X7, X7), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 277,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 625: ifeq(l2(X11, X11), n1(d(), d(), d()), p3(X11, X11, X11), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 279,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 626: ifeq(q2(X1, X2, X0), n1(d(), d(), d()), ifeq(n2(X0), n1(d(), d(), d()), ifeq(s1(X1), n1(d(), d(), d()), p3(X0, X0, X0), n1(d(), d(), d())), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 280,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 639: ifeq(s2(X7), n1(d(), d(), d()), ifeq(l2(c(), X8), n1(d(), d(), d()), r3(X8, X7, X7), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 293,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 642: ifeq(r3(X6, X6, X5), n1(d(), d(), d()), ifeq(m0(d(), X5, X6), n1(d(), d(), d()), r3(X6, X6, X6), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 296,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 644: ifeq(l2(X8, X10), n1(d(), d(), d()), r3(X10, X10, X10), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 298,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 646: ifeq(p2(X1, X11, X2), n1(d(), d(), d()), r3(X1, X2, X1), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 300,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 655: ifeq(p3(X0, X1, X5), n1(d(), d(), d()), l4(X5), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 309,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 666: ifeq(p4(X10, X8, X10), n1(d(), d(), d()), ifeq(l4(X11), n1(d(), d(), d()), ifeq(n0(X11, X9), n1(d(), d(), d()), p4(X11, X11, X11), n1(d(), d(), d())), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 320,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 668: ifeq(p3(X5, X5, X6), n1(d(), d(), d()), p4(X6, X6, X6), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 322,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 676: ifeq(p3(X1, X2, X11), n1(d(), d(), d()), ifeq(l1(X0, X2), n1(d(), d(), d()), s4(X0), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 330,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 677: ifeq(s4(X10), n1(d(), d(), d()), ifeq(r3(X8, X9, X9), n1(d(), d(), d()), k5(X9), n1(d(), d(), d())), n1(d(), d(), d())) = n1(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 331,
% 246.24/246.49 lhs with equations [1,404,433,1,404,433,1,404,433,1,404,433]
% 246.24/246.49 rhs with equations [1,404,433].
% 246.24/246.49
% 246.24/246.49 708: p2(d(), d(), d()) = n1(d(), d(), d()).
% 246.24/246.49 Proof: A critical pair between equations 0 and 534.
% 246.24/246.49
% 246.24/246.49 709: s0(d()) = ifeq(s0(d()), s0(d()), k1(e()), s0(d())).
% 246.24/246.49 Proof: A critical pair between equations 393 and 362.
% 246.24/246.49
% 246.24/246.49 710: s0(d()) = ifeq(s0(d()), s0(d()), k1(b()), s0(d())).
% 246.24/246.49 Proof: A critical pair between equations 393 and 365.
% 246.24/246.49
% 246.24/246.49 713: s0(d()) = ifeq(s0(d()), s0(d()), k1(a()), s0(d())).
% 246.24/246.49 Proof: A critical pair between equations 393 and 391.
% 246.24/246.49
% 246.24/246.49 714: s0(d()) = ifeq(s0(d()), s0(d()), l1(e(), e()), s0(d())).
% 246.24/246.49 Proof: A critical pair between equations 394 and 362.
% 246.24/246.49
% 246.24/246.49 717: s0(d()) = ifeq(s0(d()), s0(d()), l1(d(), d()), s0(d())).
% 246.24/246.49 Proof: A critical pair between equations 394 and 388.
% 246.24/246.49
% 246.24/246.49 722: true() = l1(d(), d()).
% 246.24/246.49 Proof: Rewrite equation 717,
% 246.24/246.49 lhs with equations [1]
% 246.24/246.49 rhs with equations [1,1,1,0].
% 246.24/246.49
% 246.24/246.49 725: true() = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 714,
% 246.24/246.49 lhs with equations [1]
% 246.24/246.49 rhs with equations [1,1,1,0].
% 246.24/246.49
% 246.24/246.49 726: l1(e(), e()) = k1(a()).
% 246.24/246.49 Proof: Rewrite equation 713,
% 246.24/246.49 lhs with equations [1,725]
% 246.24/246.49 rhs with equations [1,725,1,725,1,725,0].
% 246.24/246.49
% 246.24/246.49 729: l1(e(), e()) = k1(b()).
% 246.24/246.49 Proof: Rewrite equation 710,
% 246.24/246.49 lhs with equations [1,725]
% 246.24/246.49 rhs with equations [1,725,1,725,1,725,0].
% 246.24/246.49
% 246.24/246.49 730: l1(e(), e()) = k1(e()).
% 246.24/246.49 Proof: Rewrite equation 709,
% 246.24/246.49 lhs with equations [1,725]
% 246.24/246.49 rhs with equations [1,725,1,725,1,725,0].
% 246.24/246.49
% 246.24/246.49 731: p2(d(), d(), d()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 708,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 762: ifeq(s4(X10), l1(e(), e()), ifeq(r3(X8, X9, X9), l1(e(), e()), k5(X9), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 677,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 763: ifeq(p3(X1, X2, X11), l1(e(), e()), ifeq(l1(X0, X2), l1(e(), e()), s4(X0), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 676,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 771: ifeq(p3(X5, X5, X6), l1(e(), e()), p4(X6, X6, X6), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 668,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 773: ifeq(p4(X10, X8, X10), l1(e(), e()), ifeq(l4(X11), l1(e(), e()), ifeq(n0(X11, X9), l1(e(), e()), p4(X11, X11, X11), l1(e(), e())), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 666,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 784: ifeq(p3(X0, X1, X5), l1(e(), e()), l4(X5), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 655,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 793: ifeq(p2(X1, X11, X2), l1(e(), e()), r3(X1, X2, X1), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 646,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 795: ifeq(l2(X8, X10), l1(e(), e()), r3(X10, X10, X10), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 644,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 797: ifeq(r3(X6, X6, X5), l1(e(), e()), ifeq(m0(d(), X5, X6), l1(e(), e()), r3(X6, X6, X6), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 642,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 800: ifeq(s2(X7), l1(e(), e()), ifeq(l2(c(), X8), l1(e(), e()), r3(X8, X7, X7), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 639,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 813: ifeq(q2(X1, X2, X0), l1(e(), e()), ifeq(n2(X0), l1(e(), e()), ifeq(s1(X1), l1(e(), e()), p3(X0, X0, X0), l1(e(), e())), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 626,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 814: ifeq(l2(X11, X11), l1(e(), e()), p3(X11, X11, X11), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 625,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 816: ifeq(n2(X7), l1(e(), e()), p3(X7, X7, X7), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 623,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 819: ifeq(q2(X10, d(), X2), l1(e(), e()), ifeq(k2(X11, X9), l1(e(), e()), p3(X2, X11, X9), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 620,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 820: ifeq(p2(X9, X10, X11), l1(e(), e()), n3(X11), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 619,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 838: ifeq(k3(X9, X11, X11), l1(e(), e()), ifeq(l2(X10, X10), l1(e(), e()), l3(X11, X11), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 601,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 843: ifeq(n2(X2), l1(e(), e()), ifeq(m2(b()), l1(e(), e()), l3(X2, X2), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 596,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 850: ifeq(n2(X11), l1(e(), e()), k3(X11, X11, X11), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 589,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 868: ifeq(s1(a()), l1(e(), e()), s2(d()), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 571,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 872: ifeq(l1(X7, X8), l1(e(), e()), q2(X8, X8, X7), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 567,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 874: ifeq(q1(X2, c(), X1), l1(e(), e()), q2(X1, X1, X1), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 565,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 877: ifeq(p1(X6, X6, X6), l1(e(), e()), q2(X6, X6, X6), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 562,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 882: ifeq(m1(X9, X11, X9), l1(e(), e()), p2(X11, X9, X11), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 557,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 883: ifeq(l1(X8, X10), l1(e(), e()), p2(X10, X10, X10), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 556,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 884: ifeq(n2(X7), l1(e(), e()), p2(X7, X7, X7), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 555,
% 246.24/246.49 lhs with equations [433,404,1,725,730,433,404,1,725,433,404,1,725,0,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 895: ifeq(k2(X9, c()), l1(e(), e()), ifeq(q1(X10, c(), X10), l1(e(), e()), p2(X9, X9, X9), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 544,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 903: ifeq(p2(e(), X7, X6), l1(e(), e()), ifeq(k1(X5), l1(e(), e()), p2(X7, X6, X6), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 536,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 920: ifeq(p1(X1, X2, X0), l1(e(), e()), n2(X0), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 518,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 921: m2(b()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 517,
% 246.24/246.49 lhs with equations [729,433,404,1,725,433,404,1,725,0]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 927: ifeq(q1(X0, X5, X5), l1(e(), e()), k2(X5, X5), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 511,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 930: ifeq(s1(X7), l1(e(), e()), ifeq(q0(X10, X8), l1(e(), e()), s1(X10), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 508,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 931: ifeq(p0(X6, X6), l1(e(), e()), s1(X6), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 507,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 947: q1(e(), X0, X0) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 491,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 953: ifeq(n0(X11, X2), l1(e(), e()), q1(X2, X2, X2), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 485,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 961: ifeq(p0(X2, X5), l1(e(), e()), ifeq(n0(X1, X0), l1(e(), e()), q1(X5, X0, X5), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 477,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 967: ifeq(p0(X2, X1), l1(e(), e()), p1(X1, X1, X1), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 471,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 984: ifeq(n0(X7, X8), l1(e(), e()), p1(X8, X8, X8), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 453,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 988: ifeq(n1(X9, X11, X9), l1(e(), e()), ifeq(m0(X9, X9, X10), l1(e(), e()), n1(X11, X11, X11), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 449,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725,433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 993: ifeq(r0(X11), l1(e(), e()), n1(X11, X11, X11), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 444,
% 246.24/246.49 lhs with equations [433,404,1,725,433,404,1,725]
% 246.24/246.49 rhs with equations [433,404,1,725].
% 246.24/246.49
% 246.24/246.49 1012: ifeq(m0(b(), X1, X0), l1(e(), e()), n1(X0, X0, X1), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 424,
% 246.24/246.49 lhs with equations [404,1,725,404,1,725]
% 246.24/246.49 rhs with equations [404,1,725].
% 246.24/246.49
% 246.24/246.49 1015: ifeq(m1(X9, X11, X2), l1(e(), e()), ifeq(q0(X11, X11), l1(e(), e()), m1(X2, X2, X2), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 421,
% 246.24/246.49 lhs with equations [404,1,725,404,1,725,404,1,725,404,1,725]
% 246.24/246.49 rhs with equations [404,1,725].
% 246.24/246.49
% 246.24/246.49 1026: ifeq(q0(X11, X9), l1(e(), e()), l1(e(), e()), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 410,
% 246.24/246.49 lhs with equations [404,1,725,404,1,725,404,1,725]
% 246.24/246.49 rhs with equations [404,1,725].
% 246.24/246.49
% 246.24/246.49 1027: ifeq(s0(X10), l1(e(), e()), m1(X10, X10, X10), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 409,
% 246.24/246.49 lhs with equations [404,1,725,404,1,725]
% 246.24/246.49 rhs with equations [404,1,725].
% 246.24/246.49
% 246.24/246.49 1029: ifeq(l0(X11), l1(e(), e()), ifeq(m0(X2, X2, X1), l1(e(), e()), m1(X1, X2, X2), l1(e(), e())), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 407,
% 246.24/246.49 lhs with equations [404,1,725,404,1,725,404,1,725,404,1,725]
% 246.24/246.49 rhs with equations [404,1,725].
% 246.24/246.49
% 246.24/246.49 1030: ifeq(m0(X10, X8, X9), l1(e(), e()), m1(X9, X9, X9), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 406,
% 246.24/246.49 lhs with equations [404,1,725,404,1,725]
% 246.24/246.49 rhs with equations [404,1,725].
% 246.24/246.49
% 246.24/246.49 1038: ifeq(m0(X2, X2, X1), l1(e(), e()), m1(X1, X2, X1), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 397,
% 246.24/246.49 lhs with equations [1,725,1,725]
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1042: ifeq(n0(X5, X6), l1(e(), e()), k1(X6), l1(e(), e())) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 393,
% 246.24/246.49 lhs with equations [1,725,1,725]
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1044: n0(b(), a()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 391,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1050: m0(b(), b(), e()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 385,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1051: n0(e(), e()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 384,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1056: l0(c()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 379,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1058: q0(b(), e()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 377,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1060: m0(X3, d(), X4) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 375,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1061: p0(c(), b()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 374,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1062: q0(X3, d()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 373,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1065: p0(b(), X3) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 370,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1069: r0(b()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 366,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1072: s0(b()) = l1(e(), e()).
% 246.24/246.49 Proof: Rewrite equation 363,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1,725].
% 246.24/246.49
% 246.24/246.49 1076: l1(e(), e()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: A critical pair between equations 883 and 0.
% 246.24/246.49
% 246.24/246.49 1082: l1(e(), e()) = ifeq(s2(X12), l1(e(), e()), l1(e(), e()), l1(e(), e())).
% 246.24/246.49 Proof: A critical pair between equations 800 and 795.
% 246.24/246.49
% 246.24/246.49 1086: l1(e(), e()) = ifeq(true(), l1(e(), e()), q2(d(), d(), d()), l1(e(), e())).
% 246.24/246.49 Proof: A critical pair between equations 872 and 722.
% 246.24/246.49
% 246.24/246.49 1087: p2(e(), e(), e()) = q2(d(), d(), d()).
% 246.24/246.49 Proof: Rewrite equation 1086,
% 246.24/246.49 lhs with equations [1076]
% 246.24/246.49 rhs with equations [725,1076,1076,1076,0].
% 246.24/246.49
% 246.24/246.49 1091: p2(e(), e(), e()) = ifeq(s2(X12), p2(e(), e(), e()), p2(e(), e(), e()), p2(e(), e(), e())).
% 246.24/246.49 Proof: Rewrite equation 1082,
% 246.24/246.49 lhs with equations [1076]
% 246.24/246.49 rhs with equations [1076,1076,1076].
% 246.24/246.49
% 246.24/246.49 1100: s0(b()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1072,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1103: r0(b()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1069,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1107: p0(b(), X3) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1065,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1110: q0(X3, d()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1062,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1111: p0(c(), b()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1061,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1112: m0(X3, d(), X4) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1060,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1114: q0(b(), e()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1058,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1116: l0(c()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1056,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1121: n0(e(), e()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1051,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1122: m0(b(), b(), e()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1050,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1128: n0(b(), a()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1044,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1130: ifeq(n0(X5, X6), p2(e(), e(), e()), k1(X6), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1042,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1134: ifeq(m0(X2, X2, X1), p2(e(), e(), e()), m1(X1, X2, X1), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1038,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1142: ifeq(m0(X10, X8, X9), p2(e(), e(), e()), m1(X9, X9, X9), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1030,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1143: ifeq(l0(X11), p2(e(), e(), e()), ifeq(m0(X2, X2, X1), p2(e(), e(), e()), m1(X1, X2, X2), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1029,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1145: ifeq(s0(X10), p2(e(), e(), e()), m1(X10, X10, X10), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1027,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1146: ifeq(q0(X11, X9), p2(e(), e(), e()), p2(e(), e(), e()), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1026,
% 246.24/246.49 lhs with equations [1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1157: ifeq(m1(X9, X11, X2), p2(e(), e(), e()), ifeq(q0(X11, X11), p2(e(), e(), e()), m1(X2, X2, X2), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1015,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1160: ifeq(m0(b(), X1, X0), p2(e(), e(), e()), n1(X0, X0, X1), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 1012,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1179: ifeq(r0(X11), p2(e(), e(), e()), n1(X11, X11, X11), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 993,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1184: ifeq(n1(X9, X11, X9), p2(e(), e(), e()), ifeq(m0(X9, X9, X10), p2(e(), e(), e()), n1(X11, X11, X11), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 988,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1188: ifeq(n0(X7, X8), p2(e(), e(), e()), p1(X8, X8, X8), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 984,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1205: ifeq(p0(X2, X1), p2(e(), e(), e()), p1(X1, X1, X1), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 967,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1211: ifeq(p0(X2, X5), p2(e(), e(), e()), ifeq(n0(X1, X0), p2(e(), e(), e()), q1(X5, X0, X5), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 961,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1219: ifeq(n0(X11, X2), p2(e(), e(), e()), q1(X2, X2, X2), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 953,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1225: q1(e(), X0, X0) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 947,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1241: ifeq(p0(X6, X6), p2(e(), e(), e()), s1(X6), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 931,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1242: ifeq(s1(X7), p2(e(), e(), e()), ifeq(q0(X10, X8), p2(e(), e(), e()), s1(X10), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 930,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1245: ifeq(q1(X0, X5, X5), p2(e(), e(), e()), k2(X5, X5), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 927,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1251: m2(b()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 921,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1252: ifeq(p1(X1, X2, X0), p2(e(), e(), e()), n2(X0), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 920,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1269: ifeq(p2(e(), X7, X6), p2(e(), e(), e()), ifeq(k1(X5), p2(e(), e(), e()), p2(X7, X6, X6), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 903,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1277: ifeq(k2(X9, c()), p2(e(), e(), e()), ifeq(q1(X10, c(), X10), p2(e(), e(), e()), p2(X9, X9, X9), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 895,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1288: ifeq(n2(X7), p2(e(), e(), e()), p2(X7, X7, X7), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 884,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1289: ifeq(l1(X8, X10), p2(e(), e(), e()), p2(X10, X10, X10), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 883,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1290: ifeq(m1(X9, X11, X9), p2(e(), e(), e()), p2(X11, X9, X11), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 882,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1295: ifeq(p1(X6, X6, X6), p2(e(), e(), e()), q2(X6, X6, X6), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 877,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1298: ifeq(q1(X2, c(), X1), p2(e(), e(), e()), q2(X1, X1, X1), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 874,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1304: ifeq(s1(a()), p2(e(), e(), e()), s2(d()), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 868,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1322: ifeq(n2(X11), p2(e(), e(), e()), k3(X11, X11, X11), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 850,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1329: ifeq(n2(X2), p2(e(), e(), e()), l3(X2, X2), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 843,
% 246.24/246.49 lhs with equations [1076,1251,1076,1076,0,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1334: ifeq(k3(X9, X11, X11), p2(e(), e(), e()), ifeq(l2(X10, X10), p2(e(), e(), e()), l3(X11, X11), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 838,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1352: ifeq(p2(X9, X10, X11), p2(e(), e(), e()), n3(X11), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 820,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1353: ifeq(q2(X10, d(), X2), p2(e(), e(), e()), ifeq(k2(X11, X9), p2(e(), e(), e()), p3(X2, X11, X9), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 819,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1356: ifeq(n2(X7), p2(e(), e(), e()), p3(X7, X7, X7), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 816,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1358: ifeq(l2(X11, X11), p2(e(), e(), e()), p3(X11, X11, X11), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 814,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1359: ifeq(q2(X1, X2, X0), p2(e(), e(), e()), ifeq(n2(X0), p2(e(), e(), e()), ifeq(s1(X1), p2(e(), e(), e()), p3(X0, X0, X0), p2(e(), e(), e())), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 813,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1375: ifeq(r3(X6, X6, X5), p2(e(), e(), e()), ifeq(m0(d(), X5, X6), p2(e(), e(), e()), r3(X6, X6, X6), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 797,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1379: ifeq(p2(X1, X11, X2), p2(e(), e(), e()), r3(X1, X2, X1), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 793,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1388: ifeq(p3(X0, X1, X5), p2(e(), e(), e()), l4(X5), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 784,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1399: ifeq(p4(X10, X8, X10), p2(e(), e(), e()), ifeq(l4(X11), p2(e(), e(), e()), ifeq(n0(X11, X9), p2(e(), e(), e()), p4(X11, X11, X11), p2(e(), e(), e())), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 773,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1401: ifeq(p3(X5, X5, X6), p2(e(), e(), e()), p4(X6, X6, X6), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 771,
% 246.24/246.49 lhs with equations [1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1409: ifeq(p3(X1, X2, X11), p2(e(), e(), e()), ifeq(l1(X0, X2), p2(e(), e(), e()), s4(X0), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 763,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1410: ifeq(s4(X10), p2(e(), e(), e()), ifeq(r3(X8, X9, X9), p2(e(), e(), e()), k5(X9), p2(e(), e(), e())), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 762,
% 246.24/246.49 lhs with equations [1076,1076,1076,1076]
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1441: p2(d(), d(), d()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 731,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1442: p2(e(), e(), e()) = k1(e()).
% 246.24/246.49 Proof: Rewrite equation 730,
% 246.24/246.49 lhs with equations [1076]
% 246.24/246.49 rhs with equations [].
% 246.24/246.49
% 246.24/246.49 1446: p2(e(), e(), e()) = k1(a()).
% 246.24/246.49 Proof: Rewrite equation 726,
% 246.24/246.49 lhs with equations [1076]
% 246.24/246.49 rhs with equations [].
% 246.24/246.49
% 246.24/246.49 1447: true() = p2(e(), e(), e()).
% 246.24/246.49 Proof: Rewrite equation 725,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1076].
% 246.24/246.49
% 246.24/246.49 1450: p2(e(), e(), e()) = l1(d(), d()).
% 246.24/246.49 Proof: Rewrite equation 722,
% 246.24/246.49 lhs with equations [1447]
% 246.24/246.49 rhs with equations [].
% 246.24/246.49
% 246.24/246.49 1456: r3(e(), e(), e()) = p2(e(), e(), e()).
% 246.24/246.49 Proof: A critical pair between equations 0 and 1379.
% 246.24/246.49
% 246.24/246.49 1459: ifeq(k1(X10), p2(e(), e(), e()), p2(e(), e(), e()), p2(e(), e(), e())) = p2(e(), e(), e()).
% 246.24/246.49 Proof: A critical pair between equations 0 and 1269.
% 246.24/246.49
% 246.24/246.49 1461: p2(e(), e(), e()) = ifeq(l0(X11), p2(e(), e(), e()), p2(e(), e(), e()), p2(e(), e(), e())).
% 246.24/246.49 Proof: A critical pair between equations 1143 and 1134.
% 246.24/246.49
% 246.24/246.49 1468: true() = ifeq(l0(X11), true(), true(), true()).
% 246.24/246.49 Proof: Rewrite equation 1461,
% 246.24/246.49 lhs with equations [1447]
% 246.24/246.49 rhs with equations [1447,1447,1447].
% 246.24/246.49
% 246.24/246.49 1470: ifeq(k1(X10), true(), true(), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1459,
% 246.24/246.49 lhs with equations [1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1473: r3(e(), e(), e()) = true().
% 246.24/246.49 Proof: Rewrite equation 1456,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1479: true() = l1(d(), d()).
% 246.24/246.49 Proof: Rewrite equation 1450,
% 246.24/246.49 lhs with equations [1447]
% 246.24/246.49 rhs with equations [].
% 246.24/246.49
% 246.24/246.49 1482: true() = k1(a()).
% 246.24/246.49 Proof: Rewrite equation 1446,
% 246.24/246.49 lhs with equations [1447]
% 246.24/246.49 rhs with equations [].
% 246.24/246.49
% 246.24/246.49 1486: true() = k1(e()).
% 246.24/246.49 Proof: Rewrite equation 1442,
% 246.24/246.49 lhs with equations [1447]
% 246.24/246.49 rhs with equations [].
% 246.24/246.49
% 246.24/246.49 1487: p2(d(), d(), d()) = true().
% 246.24/246.49 Proof: Rewrite equation 1441,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1518: ifeq(s4(X10), true(), ifeq(r3(X8, X9, X9), true(), k5(X9), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1410,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1519: ifeq(p3(X1, X2, X11), true(), ifeq(l1(X0, X2), true(), s4(X0), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1409,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1527: ifeq(p3(X5, X5, X6), true(), p4(X6, X6, X6), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1401,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1529: ifeq(p4(X10, X8, X10), true(), ifeq(l4(X11), true(), ifeq(n0(X11, X9), true(), p4(X11, X11, X11), true()), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1399,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1540: ifeq(p3(X0, X1, X5), true(), l4(X5), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1388,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1549: ifeq(p2(X1, X11, X2), true(), r3(X1, X2, X1), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1379,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1553: ifeq(r3(X6, X6, X5), true(), ifeq(m0(d(), X5, X6), true(), r3(X6, X6, X6), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1375,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1569: ifeq(q2(X1, X2, X0), true(), ifeq(n2(X0), true(), ifeq(s1(X1), true(), p3(X0, X0, X0), true()), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1359,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1570: ifeq(l2(X11, X11), true(), p3(X11, X11, X11), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1358,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1572: ifeq(n2(X7), true(), p3(X7, X7, X7), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1356,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1575: ifeq(q2(X10, d(), X2), true(), ifeq(k2(X11, X9), true(), p3(X2, X11, X9), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1353,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1576: ifeq(p2(X9, X10, X11), true(), n3(X11), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1352,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1594: ifeq(k3(X9, X11, X11), true(), ifeq(l2(X10, X10), true(), l3(X11, X11), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1334,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1599: ifeq(n2(X2), true(), l3(X2, X2), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1329,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1606: ifeq(n2(X11), true(), k3(X11, X11, X11), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1322,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1624: ifeq(s1(a()), true(), s2(d()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1304,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1630: ifeq(q1(X2, c(), X1), true(), q2(X1, X1, X1), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1298,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1633: ifeq(p1(X6, X6, X6), true(), q2(X6, X6, X6), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1295,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1638: ifeq(m1(X9, X11, X9), true(), p2(X11, X9, X11), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1290,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1639: ifeq(l1(X8, X10), true(), p2(X10, X10, X10), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1289,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1640: ifeq(n2(X7), true(), p2(X7, X7, X7), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1288,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1651: ifeq(k2(X9, c()), true(), ifeq(q1(X10, c(), X10), true(), p2(X9, X9, X9), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1277,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1676: ifeq(p1(X1, X2, X0), true(), n2(X0), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1252,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1683: ifeq(q1(X0, X5, X5), true(), k2(X5, X5), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1245,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1686: ifeq(s1(X7), true(), ifeq(q0(X10, X8), true(), s1(X10), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1242,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1687: ifeq(p0(X6, X6), true(), s1(X6), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1241,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1702: q1(e(), X0, X0) = true().
% 246.24/246.49 Proof: Rewrite equation 1225,
% 246.24/246.49 lhs with equations []
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1708: ifeq(n0(X11, X2), true(), q1(X2, X2, X2), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1219,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1716: ifeq(p0(X2, X5), true(), ifeq(n0(X1, X0), true(), q1(X5, X0, X5), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1211,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1722: ifeq(p0(X2, X1), true(), p1(X1, X1, X1), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1205,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1739: ifeq(n0(X7, X8), true(), p1(X8, X8, X8), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1188,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1743: ifeq(n1(X9, X11, X9), true(), ifeq(m0(X9, X9, X10), true(), n1(X11, X11, X11), true()), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1184,
% 246.24/246.49 lhs with equations [1447,1447,1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1748: ifeq(r0(X11), true(), n1(X11, X11, X11), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1179,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1767: ifeq(m0(b(), X1, X0), true(), n1(X0, X0, X1), true()) = true().
% 246.24/246.49 Proof: Rewrite equation 1160,
% 246.24/246.49 lhs with equations [1447,1447]
% 246.24/246.49 rhs with equations [1447].
% 246.24/246.49
% 246.24/246.49 1770: ifeq(m1(X9, X11, X2), true(), ifeq(q0(X11, X11), true(), m1(X2, X2, X2), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1157,
% 246.24/246.50 lhs with equations [1447,1447,1447,1447]
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1781: ifeq(q0(X11, X9), true(), true(), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1146,
% 246.24/246.50 lhs with equations [1447,1447,1447]
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1782: ifeq(s0(X10), true(), m1(X10, X10, X10), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1145,
% 246.24/246.50 lhs with equations [1447,1447]
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1785: ifeq(m0(X10, X8, X9), true(), m1(X9, X9, X9), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1142,
% 246.24/246.50 lhs with equations [1447,1447]
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1793: ifeq(m0(X2, X2, X1), true(), m1(X1, X2, X1), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1134,
% 246.24/246.50 lhs with equations [1447,1447]
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1797: ifeq(n0(X5, X6), true(), k1(X6), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1130,
% 246.24/246.50 lhs with equations [1447,1447]
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1799: n0(b(), a()) = true().
% 246.24/246.50 Proof: Rewrite equation 1128,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1805: m0(b(), b(), e()) = true().
% 246.24/246.50 Proof: Rewrite equation 1122,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1806: n0(e(), e()) = true().
% 246.24/246.50 Proof: Rewrite equation 1121,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1811: l0(c()) = true().
% 246.24/246.50 Proof: Rewrite equation 1116,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1813: q0(b(), e()) = true().
% 246.24/246.50 Proof: Rewrite equation 1114,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1815: m0(X3, d(), X4) = true().
% 246.24/246.50 Proof: Rewrite equation 1112,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1816: p0(c(), b()) = true().
% 246.24/246.50 Proof: Rewrite equation 1111,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1817: q0(X3, d()) = true().
% 246.24/246.50 Proof: Rewrite equation 1110,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1820: p0(b(), X3) = true().
% 246.24/246.50 Proof: Rewrite equation 1107,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1824: r0(b()) = true().
% 246.24/246.50 Proof: Rewrite equation 1103,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1827: s0(b()) = true().
% 246.24/246.50 Proof: Rewrite equation 1100,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1831: l1(e(), e()) = true().
% 246.24/246.50 Proof: Rewrite equation 1076,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1447].
% 246.24/246.50
% 246.24/246.50 1837: true() = ifeq(s2(X12), true(), true(), true()).
% 246.24/246.50 Proof: Rewrite equation 1091,
% 246.24/246.50 lhs with equations [1447]
% 246.24/246.50 rhs with equations [1447,1447,1447].
% 246.24/246.50
% 246.24/246.50 1840: true() = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1087,
% 246.24/246.50 lhs with equations [1447]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 1849: true() = ifeq(true(), true(), s1(b()), true()).
% 246.24/246.50 Proof: A critical pair between equations 1687 and 1820.
% 246.24/246.50
% 246.24/246.50 1852: true() = ifeq(l1(X8, d()), true(), true(), true()).
% 246.24/246.50 Proof: A critical pair between equations 1639 and 1487.
% 246.24/246.50
% 246.24/246.50 1853: q2(d(), d(), d()) = ifeq(l1(X8, d()), q2(d(), d(), d()), q2(d(), d(), d()), q2(d(), d(), d())).
% 246.24/246.50 Proof: Rewrite equation 1852,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [1840,1840,1840].
% 246.24/246.50
% 246.24/246.50 1856: q2(d(), d(), d()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 1849,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [1840,1840,1840,0].
% 246.24/246.50
% 246.24/246.50 1866: q2(d(), d(), d()) = ifeq(s2(X12), q2(d(), d(), d()), q2(d(), d(), d()), q2(d(), d(), d())).
% 246.24/246.50 Proof: Rewrite equation 1837,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [1840,1840,1840].
% 246.24/246.50
% 246.24/246.50 1872: l1(e(), e()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1831,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1876: s0(b()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1827,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1879: r0(b()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1824,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1883: p0(b(), X3) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1820,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1886: q0(X3, d()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1817,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1887: p0(c(), b()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1816,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1888: m0(X3, d(), X4) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1815,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1890: q0(b(), e()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1813,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1892: l0(c()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1811,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1897: n0(e(), e()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1806,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1898: m0(b(), b(), e()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1805,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1904: n0(b(), a()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1799,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1906: ifeq(n0(X5, X6), q2(d(), d(), d()), k1(X6), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1797,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1910: ifeq(m0(X2, X2, X1), q2(d(), d(), d()), m1(X1, X2, X1), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1793,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1918: ifeq(m0(X10, X8, X9), q2(d(), d(), d()), m1(X9, X9, X9), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1785,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1921: ifeq(s0(X10), q2(d(), d(), d()), m1(X10, X10, X10), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1782,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1922: ifeq(q0(X11, X9), q2(d(), d(), d()), q2(d(), d(), d()), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1781,
% 246.24/246.50 lhs with equations [1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1933: ifeq(m1(X9, X11, X2), q2(d(), d(), d()), ifeq(q0(X11, X11), q2(d(), d(), d()), m1(X2, X2, X2), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1770,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1936: ifeq(m0(b(), X1, X0), q2(d(), d(), d()), n1(X0, X0, X1), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1767,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1955: ifeq(r0(X11), q2(d(), d(), d()), n1(X11, X11, X11), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1748,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1960: ifeq(n1(X9, X11, X9), q2(d(), d(), d()), ifeq(m0(X9, X9, X10), q2(d(), d(), d()), n1(X11, X11, X11), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1743,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1964: ifeq(n0(X7, X8), q2(d(), d(), d()), p1(X8, X8, X8), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1739,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1981: ifeq(p0(X2, X1), q2(d(), d(), d()), p1(X1, X1, X1), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1722,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1987: ifeq(p0(X2, X5), q2(d(), d(), d()), ifeq(n0(X1, X0), q2(d(), d(), d()), q1(X5, X0, X5), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1716,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 1995: ifeq(n0(X11, X2), q2(d(), d(), d()), q1(X2, X2, X2), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1708,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2001: q1(e(), X0, X0) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1702,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2017: ifeq(s1(X7), q2(d(), d(), d()), ifeq(q0(X10, X8), q2(d(), d(), d()), s1(X10), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1686,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2020: ifeq(q1(X0, X5, X5), q2(d(), d(), d()), k2(X5, X5), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1683,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2027: ifeq(p1(X1, X2, X0), q2(d(), d(), d()), n2(X0), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1676,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2052: ifeq(k2(X9, c()), q2(d(), d(), d()), ifeq(q1(X10, c(), X10), q2(d(), d(), d()), p2(X9, X9, X9), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1651,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2063: ifeq(n2(X7), q2(d(), d(), d()), p2(X7, X7, X7), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1640,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2065: ifeq(m1(X9, X11, X9), q2(d(), d(), d()), p2(X11, X9, X11), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1638,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2070: ifeq(p1(X6, X6, X6), q2(d(), d(), d()), q2(X6, X6, X6), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1633,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2073: ifeq(q1(X2, c(), X1), q2(d(), d(), d()), q2(X1, X1, X1), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1630,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2079: ifeq(s1(a()), q2(d(), d(), d()), s2(d()), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1624,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2097: ifeq(n2(X11), q2(d(), d(), d()), k3(X11, X11, X11), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1606,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2104: ifeq(n2(X2), q2(d(), d(), d()), l3(X2, X2), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1599,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2109: ifeq(k3(X9, X11, X11), q2(d(), d(), d()), ifeq(l2(X10, X10), q2(d(), d(), d()), l3(X11, X11), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1594,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2127: ifeq(p2(X9, X10, X11), q2(d(), d(), d()), n3(X11), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1576,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2128: ifeq(q2(X10, d(), X2), q2(d(), d(), d()), ifeq(k2(X11, X9), q2(d(), d(), d()), p3(X2, X11, X9), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1575,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2131: ifeq(n2(X7), q2(d(), d(), d()), p3(X7, X7, X7), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1572,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2133: ifeq(l2(X11, X11), q2(d(), d(), d()), p3(X11, X11, X11), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1570,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2134: ifeq(q2(X1, X2, X0), q2(d(), d(), d()), ifeq(n2(X0), q2(d(), d(), d()), ifeq(s1(X1), q2(d(), d(), d()), p3(X0, X0, X0), q2(d(), d(), d())), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1569,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2150: ifeq(r3(X6, X6, X5), q2(d(), d(), d()), ifeq(m0(d(), X5, X6), q2(d(), d(), d()), r3(X6, X6, X6), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1553,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2154: ifeq(p2(X1, X11, X2), q2(d(), d(), d()), r3(X1, X2, X1), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1549,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2163: ifeq(p3(X0, X1, X5), q2(d(), d(), d()), l4(X5), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1540,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2174: ifeq(p4(X10, X8, X10), q2(d(), d(), d()), ifeq(l4(X11), q2(d(), d(), d()), ifeq(n0(X11, X9), q2(d(), d(), d()), p4(X11, X11, X11), q2(d(), d(), d())), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1529,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2176: ifeq(p3(X5, X5, X6), q2(d(), d(), d()), p4(X6, X6, X6), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1527,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2184: ifeq(p3(X1, X2, X11), q2(d(), d(), d()), ifeq(l1(X0, X2), q2(d(), d(), d()), s4(X0), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1519,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2185: ifeq(s4(X10), q2(d(), d(), d()), ifeq(r3(X8, X9, X9), q2(d(), d(), d()), k5(X9), q2(d(), d(), d())), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1518,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2216: p2(d(), d(), d()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1487,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2217: q2(d(), d(), d()) = k1(e()).
% 246.24/246.50 Proof: Rewrite equation 1486,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 2221: q2(d(), d(), d()) = k1(a()).
% 246.24/246.50 Proof: Rewrite equation 1482,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 2222: q2(d(), d(), d()) = p2(e(), e(), e()).
% 246.24/246.50 Proof: Rewrite equation 1447,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 2225: q2(d(), d(), d()) = l1(d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1479,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 2231: r3(e(), e(), e()) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1473,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2234: ifeq(k1(X10), q2(d(), d(), d()), q2(d(), d(), d()), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 1470,
% 246.24/246.50 lhs with equations [1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2236: q2(d(), d(), d()) = ifeq(l0(X11), q2(d(), d(), d()), q2(d(), d(), d()), q2(d(), d(), d())).
% 246.24/246.50 Proof: Rewrite equation 1468,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [1840,1840,1840].
% 246.24/246.50
% 246.24/246.50 2242: ifeq(k2(X14, X15), q2(d(), d(), d()), p3(d(), X14, X15), q2(d(), d(), d())) = q2(d(), d(), d()).
% 246.24/246.50 Proof: A critical pair between equations 0 and 2128.
% 246.24/246.50
% 246.24/246.50 2243: q2(d(), d(), d()) = ifeq(n0(X5, e()), q2(d(), d(), d()), q2(d(), d(), d()), q2(d(), d(), d())).
% 246.24/246.50 Proof: A critical pair between equations 1906 and 2217.
% 246.24/246.50
% 246.24/246.50 2249: q2(d(), d(), d()) = ifeq(p0(X2, X13), q2(d(), d(), d()), q2(d(), d(), d()), q2(d(), d(), d())).
% 246.24/246.50 Proof: A critical pair between equations 1987 and 1995.
% 246.24/246.50
% 246.24/246.50 2253: true() = ifeq(p0(X2, X13), true(), true(), true()).
% 246.24/246.50 Proof: Rewrite equation 2249,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [1840,1840,1840].
% 246.24/246.50
% 246.24/246.50 2254: true() = ifeq(n0(X5, e()), true(), true(), true()).
% 246.24/246.50 Proof: Rewrite equation 2243,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [1840,1840,1840].
% 246.24/246.50
% 246.24/246.50 2255: ifeq(k2(X14, X15), true(), p3(d(), X14, X15), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2242,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2261: true() = ifeq(l0(X11), true(), true(), true()).
% 246.24/246.50 Proof: Rewrite equation 2236,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [1840,1840,1840].
% 246.24/246.50
% 246.24/246.50 2263: ifeq(k1(X10), true(), true(), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2234,
% 246.24/246.50 lhs with equations [1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2266: r3(e(), e(), e()) = true().
% 246.24/246.50 Proof: Rewrite equation 2231,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2272: true() = l1(d(), d()).
% 246.24/246.50 Proof: Rewrite equation 2225,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 2275: true() = p2(e(), e(), e()).
% 246.24/246.50 Proof: Rewrite equation 2222,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 2276: true() = k1(a()).
% 246.24/246.50 Proof: Rewrite equation 2221,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 2281: p2(d(), d(), d()) = true().
% 246.24/246.50 Proof: Rewrite equation 2216,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2312: ifeq(s4(X10), true(), ifeq(r3(X8, X9, X9), true(), k5(X9), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2185,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2313: ifeq(p3(X1, X2, X11), true(), ifeq(l1(X0, X2), true(), s4(X0), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2184,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2321: ifeq(p3(X5, X5, X6), true(), p4(X6, X6, X6), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2176,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2323: ifeq(p4(X10, X8, X10), true(), ifeq(l4(X11), true(), ifeq(n0(X11, X9), true(), p4(X11, X11, X11), true()), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2174,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2334: ifeq(p3(X0, X1, X5), true(), l4(X5), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2163,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2343: ifeq(p2(X1, X11, X2), true(), r3(X1, X2, X1), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2154,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2347: ifeq(r3(X6, X6, X5), true(), ifeq(m0(d(), X5, X6), true(), r3(X6, X6, X6), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2150,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2363: ifeq(q2(X1, X2, X0), true(), ifeq(n2(X0), true(), ifeq(s1(X1), true(), p3(X0, X0, X0), true()), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2134,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2364: ifeq(l2(X11, X11), true(), p3(X11, X11, X11), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2133,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2366: ifeq(n2(X7), true(), p3(X7, X7, X7), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2131,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2370: ifeq(p2(X9, X10, X11), true(), n3(X11), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2127,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2388: ifeq(k3(X9, X11, X11), true(), ifeq(l2(X10, X10), true(), l3(X11, X11), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2109,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2393: ifeq(n2(X2), true(), l3(X2, X2), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2104,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2400: ifeq(n2(X11), true(), k3(X11, X11, X11), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2097,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2418: ifeq(s1(a()), true(), s2(d()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2079,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2424: ifeq(q1(X2, c(), X1), true(), q2(X1, X1, X1), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2073,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2427: ifeq(p1(X6, X6, X6), true(), q2(X6, X6, X6), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2070,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2432: ifeq(m1(X9, X11, X9), true(), p2(X11, X9, X11), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2065,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2434: ifeq(n2(X7), true(), p2(X7, X7, X7), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2063,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2445: ifeq(k2(X9, c()), true(), ifeq(q1(X10, c(), X10), true(), p2(X9, X9, X9), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2052,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2470: ifeq(p1(X1, X2, X0), true(), n2(X0), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2027,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2477: ifeq(q1(X0, X5, X5), true(), k2(X5, X5), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2020,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2480: ifeq(s1(X7), true(), ifeq(q0(X10, X8), true(), s1(X10), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 2017,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2496: q1(e(), X0, X0) = true().
% 246.24/246.50 Proof: Rewrite equation 2001,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2516: ifeq(p0(X2, X1), true(), p1(X1, X1, X1), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1981,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2533: ifeq(n0(X7, X8), true(), p1(X8, X8, X8), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1964,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2537: ifeq(n1(X9, X11, X9), true(), ifeq(m0(X9, X9, X10), true(), n1(X11, X11, X11), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1960,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2542: ifeq(r0(X11), true(), n1(X11, X11, X11), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1955,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2561: ifeq(m0(b(), X1, X0), true(), n1(X0, X0, X1), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1936,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2564: ifeq(m1(X9, X11, X2), true(), ifeq(q0(X11, X11), true(), m1(X2, X2, X2), true()), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1933,
% 246.24/246.50 lhs with equations [1840,1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2575: ifeq(q0(X11, X9), true(), true(), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1922,
% 246.24/246.50 lhs with equations [1840,1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2576: ifeq(s0(X10), true(), m1(X10, X10, X10), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1921,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2579: ifeq(m0(X10, X8, X9), true(), m1(X9, X9, X9), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1918,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2587: ifeq(m0(X2, X2, X1), true(), m1(X1, X2, X1), true()) = true().
% 246.24/246.50 Proof: Rewrite equation 1910,
% 246.24/246.50 lhs with equations [1840,1840]
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2593: n0(b(), a()) = true().
% 246.24/246.50 Proof: Rewrite equation 1904,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2599: m0(b(), b(), e()) = true().
% 246.24/246.50 Proof: Rewrite equation 1898,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2600: n0(e(), e()) = true().
% 246.24/246.50 Proof: Rewrite equation 1897,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2605: l0(c()) = true().
% 246.24/246.50 Proof: Rewrite equation 1892,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2607: q0(b(), e()) = true().
% 246.24/246.50 Proof: Rewrite equation 1890,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2609: m0(X3, d(), X4) = true().
% 246.24/246.50 Proof: Rewrite equation 1888,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2610: p0(c(), b()) = true().
% 246.24/246.50 Proof: Rewrite equation 1887,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2611: q0(X3, d()) = true().
% 246.24/246.50 Proof: Rewrite equation 1886,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2614: p0(b(), X3) = true().
% 246.24/246.50 Proof: Rewrite equation 1883,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2618: r0(b()) = true().
% 246.24/246.50 Proof: Rewrite equation 1879,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2621: s0(b()) = true().
% 246.24/246.50 Proof: Rewrite equation 1876,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2625: l1(e(), e()) = true().
% 246.24/246.50 Proof: Rewrite equation 1872,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [1840].
% 246.24/246.50
% 246.24/246.50 2631: true() = ifeq(s2(X12), true(), true(), true()).
% 246.24/246.50 Proof: Rewrite equation 1866,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [1840,1840,1840].
% 246.24/246.50
% 246.24/246.50 2641: true() = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 1856,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 2644: true() = ifeq(l1(X8, d()), true(), true(), true()).
% 246.24/246.50 Proof: Rewrite equation 1853,
% 246.24/246.50 lhs with equations [1840]
% 246.24/246.50 rhs with equations [1840,1840,1840].
% 246.24/246.50
% 246.24/246.50 2652: true() = ifeq(true(), true(), k2(X6, X6), true()).
% 246.24/246.50 Proof: A critical pair between equations 2477 and 2496.
% 246.24/246.50
% 246.24/246.50 2656: true() = ifeq(p2(e(), X11, e()), true(), true(), true()).
% 246.24/246.50 Proof: A critical pair between equations 2343 and 2266.
% 246.24/246.50
% 246.24/246.50 2657: s1(b()) = ifeq(p2(e(), X11, e()), s1(b()), s1(b()), s1(b())).
% 246.24/246.50 Proof: Rewrite equation 2656,
% 246.24/246.50 lhs with equations [2641]
% 246.24/246.50 rhs with equations [2641,2641,2641].
% 246.24/246.50
% 246.24/246.50 2661: s1(b()) = k2(X6, X6).
% 246.24/246.50 Proof: Rewrite equation 2652,
% 246.24/246.50 lhs with equations [2641]
% 246.24/246.50 rhs with equations [2641,2641,2641,0].
% 246.24/246.50
% 246.24/246.50 2665: s1(b()) = ifeq(l1(X8, d()), s1(b()), s1(b()), s1(b())).
% 246.24/246.50 Proof: Rewrite equation 2644,
% 246.24/246.50 lhs with equations [2641]
% 246.24/246.50 rhs with equations [2641,2641,2641].
% 246.24/246.50
% 246.24/246.50 2678: s1(b()) = ifeq(s2(X12), s1(b()), s1(b()), s1(b())).
% 246.24/246.50 Proof: Rewrite equation 2631,
% 246.24/246.50 lhs with equations [2641]
% 246.24/246.50 rhs with equations [2641,2641,2641].
% 246.24/246.50
% 246.24/246.50 2684: l1(e(), e()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2625,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2688: s0(b()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2621,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2691: r0(b()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2618,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2695: p0(b(), X3) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2614,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2698: q0(X3, d()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2611,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2699: p0(c(), b()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2610,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2700: m0(X3, d(), X4) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2609,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2702: q0(b(), e()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2607,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2704: l0(c()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2605,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2709: n0(e(), e()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2600,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2710: m0(b(), b(), e()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2599,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2716: n0(b(), a()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2593,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2722: ifeq(m0(X2, X2, X1), s1(b()), m1(X1, X2, X1), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2587,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2730: ifeq(m0(X10, X8, X9), s1(b()), m1(X9, X9, X9), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2579,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2733: ifeq(s0(X10), s1(b()), m1(X10, X10, X10), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2576,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2734: ifeq(q0(X11, X9), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2575,
% 246.24/246.50 lhs with equations [2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2745: ifeq(m1(X9, X11, X2), s1(b()), ifeq(q0(X11, X11), s1(b()), m1(X2, X2, X2), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2564,
% 246.24/246.50 lhs with equations [2641,2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2748: ifeq(m0(b(), X1, X0), s1(b()), n1(X0, X0, X1), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2561,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2767: ifeq(r0(X11), s1(b()), n1(X11, X11, X11), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2542,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2772: ifeq(n1(X9, X11, X9), s1(b()), ifeq(m0(X9, X9, X10), s1(b()), n1(X11, X11, X11), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2537,
% 246.24/246.50 lhs with equations [2641,2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2776: ifeq(n0(X7, X8), s1(b()), p1(X8, X8, X8), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2533,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2793: ifeq(p0(X2, X1), s1(b()), p1(X1, X1, X1), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2516,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2829: ifeq(s1(X7), s1(b()), ifeq(q0(X10, X8), s1(b()), s1(X10), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2480,
% 246.24/246.50 lhs with equations [2641,2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2838: ifeq(p1(X1, X2, X0), s1(b()), n2(X0), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2470,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2863: ifeq(k2(X9, c()), s1(b()), ifeq(q1(X10, c(), X10), s1(b()), p2(X9, X9, X9), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2445,
% 246.24/246.50 lhs with equations [2641,2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2874: ifeq(n2(X7), s1(b()), p2(X7, X7, X7), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2434,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2876: ifeq(m1(X9, X11, X9), s1(b()), p2(X11, X9, X11), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2432,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2881: ifeq(p1(X6, X6, X6), s1(b()), q2(X6, X6, X6), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2427,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2884: ifeq(q1(X2, c(), X1), s1(b()), q2(X1, X1, X1), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2424,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2890: ifeq(s1(a()), s1(b()), s2(d()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2418,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2908: ifeq(n2(X11), s1(b()), k3(X11, X11, X11), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2400,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2915: ifeq(n2(X2), s1(b()), l3(X2, X2), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2393,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2920: ifeq(k3(X9, X11, X11), s1(b()), ifeq(l2(X10, X10), s1(b()), l3(X11, X11), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2388,
% 246.24/246.50 lhs with equations [2641,2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2938: ifeq(p2(X9, X10, X11), s1(b()), n3(X11), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2370,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2942: ifeq(n2(X7), s1(b()), p3(X7, X7, X7), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2366,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2944: ifeq(l2(X11, X11), s1(b()), p3(X11, X11, X11), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2364,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2945: ifeq(q2(X1, X2, X0), s1(b()), ifeq(n2(X0), s1(b()), ifeq(s1(X1), s1(b()), p3(X0, X0, X0), s1(b())), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2363,
% 246.24/246.50 lhs with equations [2641,2641,2641,2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2961: ifeq(r3(X6, X6, X5), s1(b()), ifeq(m0(d(), X5, X6), s1(b()), r3(X6, X6, X6), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2347,
% 246.24/246.50 lhs with equations [2641,2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2965: ifeq(p2(X1, X11, X2), s1(b()), r3(X1, X2, X1), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2343,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2974: ifeq(p3(X0, X1, X5), s1(b()), l4(X5), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2334,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2985: ifeq(p4(X10, X8, X10), s1(b()), ifeq(l4(X11), s1(b()), ifeq(n0(X11, X9), s1(b()), p4(X11, X11, X11), s1(b())), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2323,
% 246.24/246.50 lhs with equations [2641,2641,2641,2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2987: ifeq(p3(X5, X5, X6), s1(b()), p4(X6, X6, X6), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2321,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2995: ifeq(p3(X1, X2, X11), s1(b()), ifeq(l1(X0, X2), s1(b()), s4(X0), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2313,
% 246.24/246.50 lhs with equations [2641,2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 2996: ifeq(s4(X10), s1(b()), ifeq(r3(X8, X9, X9), s1(b()), k5(X9), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2312,
% 246.24/246.50 lhs with equations [2641,2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 3027: p2(d(), d(), d()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2281,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 3032: s1(b()) = k1(a()).
% 246.24/246.50 Proof: Rewrite equation 2276,
% 246.24/246.50 lhs with equations [2641]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3033: s1(b()) = p2(e(), e(), e()).
% 246.24/246.50 Proof: Rewrite equation 2275,
% 246.24/246.50 lhs with equations [2641]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3036: s1(b()) = l1(d(), d()).
% 246.24/246.50 Proof: Rewrite equation 2272,
% 246.24/246.50 lhs with equations [2641]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3045: ifeq(k1(X10), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2263,
% 246.24/246.50 lhs with equations [2641,2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 3047: s1(b()) = ifeq(l0(X11), s1(b()), s1(b()), s1(b())).
% 246.24/246.50 Proof: Rewrite equation 2261,
% 246.24/246.50 lhs with equations [2641]
% 246.24/246.50 rhs with equations [2641,2641,2641].
% 246.24/246.50
% 246.24/246.50 3053: ifeq(k2(X14, X15), s1(b()), p3(d(), X14, X15), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2255,
% 246.24/246.50 lhs with equations [2641,2641]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 3054: s1(b()) = ifeq(n0(X5, e()), s1(b()), s1(b()), s1(b())).
% 246.24/246.50 Proof: Rewrite equation 2254,
% 246.24/246.50 lhs with equations [2641]
% 246.24/246.50 rhs with equations [2641,2641,2641].
% 246.24/246.50
% 246.24/246.50 3055: s1(b()) = ifeq(p0(X2, X13), s1(b()), s1(b()), s1(b())).
% 246.24/246.50 Proof: Rewrite equation 2253,
% 246.24/246.50 lhs with equations [2641]
% 246.24/246.50 rhs with equations [2641,2641,2641].
% 246.24/246.50
% 246.24/246.50 3058: ifeq(q0(X12, X13), s1(b()), s1(X12), s1(b())) = s1(b()).
% 246.24/246.50 Proof: A critical pair between equations 0 and 2829.
% 246.24/246.50
% 246.24/246.50 3061: s1(b()) = ifeq(s1(b()), s1(b()), m1(e(), b(), e()), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2722 and 2710.
% 246.24/246.50
% 246.24/246.50 3063: s1(b()) = ifeq(s1(b()), s1(b()), m1(X12, X12, X12), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2730 and 2700.
% 246.24/246.50
% 246.24/246.50 3068: s1(b()) = m1(X12, X12, X12).
% 246.24/246.50 Proof: Rewrite equation 3063,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3069: s1(b()) = m1(e(), b(), e()).
% 246.24/246.50 Proof: Rewrite equation 3061,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3072: ifeq(m1(X9, X11, X2), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2745,
% 246.24/246.50 lhs with equations [3068,2734]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3074: ifeq(s0(X10), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2733,
% 246.24/246.50 lhs with equations [3068]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3075: ifeq(m0(X10, X8, X9), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2730,
% 246.24/246.50 lhs with equations [3068]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3078: s1(b()) = ifeq(s1(b()), s1(b()), s1(X14), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3058 and 2698.
% 246.24/246.50
% 246.24/246.50 3082: s1(b()) = ifeq(s1(b()), s1(b()), p3(d(), X16, X16), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3053 and 2661.
% 246.24/246.50
% 246.24/246.50 3088: s1(b()) = p3(d(), X16, X16).
% 246.24/246.50 Proof: Rewrite equation 3082,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3090: s1(b()) = s1(X14).
% 246.24/246.50 Proof: Rewrite equation 3078,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3095: s2(d()) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2890,
% 246.24/246.50 lhs with equations [3090,0]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3130: s1(b()) = ifeq(s2(X12), s1(b()), s1(X15), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2678 and 3090.
% 246.24/246.50
% 246.24/246.50 3131: s1(b()) = ifeq(s2(X12), s1(X15), s1(b()), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2678 and 3090.
% 246.24/246.50
% 246.24/246.50 3141: s1(b()) = ifeq(s1(b()), s1(X15), s1(b()), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3131 and 3095.
% 246.24/246.50
% 246.24/246.50 3142: s1(b()) = ifeq(s2(X12), s1(b()), s1(X15), s1(X16)).
% 246.24/246.50 Proof: A critical pair between equations 3130 and 3090.
% 246.24/246.50
% 246.24/246.50 3143: s1(b()) = ifeq(s1(b()), s1(b()), s1(X15), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3130 and 3095.
% 246.24/246.50
% 246.24/246.50 3146: s1(b()) = s1(X15).
% 246.24/246.50 Proof: Rewrite equation 3143,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3149: s1(b()) = ifeq(s1(b()), s1(b()), s1(X15), s1(X16)).
% 246.24/246.50 Proof: A critical pair between equations 3142 and 3095.
% 246.24/246.50
% 246.24/246.50 3151: s1(b()) = ifeq(s1(b()), s1(X15), s1(X16), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3141 and 3146.
% 246.24/246.50
% 246.24/246.50 3158: s1(b()) = ifeq(s0(X10), s1(b()), s1(X16), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3074 and 3146.
% 246.24/246.50
% 246.24/246.50 3159: s1(b()) = s1(X15).
% 246.24/246.50 Proof: Rewrite equation 3149,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3162: s1(b()) = ifeq(s1(b()), s1(b()), s1(X16), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3158 and 2688.
% 246.24/246.50
% 246.24/246.50 3166: s1(b()) = ifeq(s1(b()), s1(X15), s1(X16), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3151 and 3159.
% 246.24/246.50
% 246.24/246.50 3171: s1(b()) = ifeq(l0(X11), s1(b()), s1(X16), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3047 and 3159.
% 246.24/246.50
% 246.24/246.50 3172: s1(b()) = s1(X16).
% 246.24/246.50 Proof: Rewrite equation 3162,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3173: s1(b()) = ifeq(l0(X11), s1(b()), s1(X16), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3171 and 3172.
% 246.24/246.50
% 246.24/246.50 3180: s1(b()) = ifeq(s1(b()), s1(b()), s1(X16), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3166 and 3172.
% 246.24/246.50
% 246.24/246.50 3181: s1(b()) = ifeq(s1(X18), s1(X15), s1(X16), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3166 and 3172.
% 246.24/246.50
% 246.24/246.50 3185: s1(b()) = s1(X16).
% 246.24/246.50 Proof: Rewrite equation 3180,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3193: s1(b()) = ifeq(s1(b()), s1(b()), s1(X16), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3173 and 2704.
% 246.24/246.50
% 246.24/246.50 3195: s1(b()) = ifeq(k1(X10), s1(b()), s1(X17), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3045 and 3185.
% 246.24/246.50
% 246.24/246.50 3197: s1(b()) = ifeq(s1(b()), s1(b()), l4(X17), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2974 and 3088.
% 246.24/246.50
% 246.24/246.50 3199: s1(b()) = l4(X17).
% 246.24/246.50 Proof: Rewrite equation 3197,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3200: s1(b()) = s1(X16).
% 246.24/246.50 Proof: Rewrite equation 3193,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3203: ifeq(p4(X10, X8, X10), s1(b()), ifeq(n0(X11, X9), s1(b()), p4(X11, X11, X11), s1(b())), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2985,
% 246.24/246.50 lhs with equations [3199,0]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3213: s1(b()) = ifeq(k1(X10), s1(b()), s1(X17), s1(X18)).
% 246.24/246.50 Proof: A critical pair between equations 3195 and 3200.
% 246.24/246.50
% 246.24/246.50 3230: s1(b()) = ifeq(s1(b()), s1(b()), s1(X17), s1(X18)).
% 246.24/246.50 Proof: A critical pair between equations 3213 and 3032.
% 246.24/246.50
% 246.24/246.50 3233: s1(b()) = s1(X17).
% 246.24/246.50 Proof: Rewrite equation 3230,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3244: s1(b()) = ifeq(l1(X8, d()), s1(b()), s1(X18), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2665 and 3233.
% 246.24/246.50
% 246.24/246.50 3247: s1(b()) = ifeq(s1(b()), s1(b()), s1(X18), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3244 and 3036.
% 246.24/246.50
% 246.24/246.50 3258: s1(b()) = ifeq(q0(b(), X13), s1(b()), s1(X17), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3058 and 3185.
% 246.24/246.50
% 246.24/246.50 3259: s1(b()) = s1(X18).
% 246.24/246.50 Proof: Rewrite equation 3247,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3260: s1(b()) = ifeq(q0(b(), X13), s1(b()), s1(X17), s1(X19)).
% 246.24/246.50 Proof: A critical pair between equations 3258 and 3259.
% 246.24/246.50
% 246.24/246.50 3273: s1(b()) = ifeq(s1(b()), s1(b()), s1(X17), s1(X19)).
% 246.24/246.50 Proof: A critical pair between equations 3260 and 2702.
% 246.24/246.50
% 246.24/246.50 3283: s1(b()) = ifeq(p0(X2, X13), s1(b()), s1(b()), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3055 and 3185.
% 246.24/246.50
% 246.24/246.50 3284: s1(b()) = s1(X17).
% 246.24/246.50 Proof: Rewrite equation 3273,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3286: s1(b()) = ifeq(p0(X2, X13), s1(b()), s1(X18), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3283 and 3284.
% 246.24/246.50
% 246.24/246.50 3299: s1(b()) = ifeq(s1(b()), s1(b()), s1(X18), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3286 and 2699.
% 246.24/246.50
% 246.24/246.50 3309: s1(b()) = ifeq(n0(X5, e()), s1(b()), s1(b()), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3054 and 3185.
% 246.24/246.50
% 246.24/246.50 3310: s1(b()) = s1(X18).
% 246.24/246.50 Proof: Rewrite equation 3299,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3312: s1(b()) = ifeq(n0(X5, e()), s1(b()), s1(X19), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3309 and 3310.
% 246.24/246.50
% 246.24/246.50 3324: s1(b()) = ifeq(s1(b()), s1(b()), s1(X19), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3312 and 2709.
% 246.24/246.50
% 246.24/246.50 3336: s1(b()) = s1(X19).
% 246.24/246.50 Proof: Rewrite equation 3324,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3343: s1(b()) = ifeq(n2(X2), s1(X20), l3(X2, X2), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2915 and 3336.
% 246.24/246.50
% 246.24/246.50 3352: s1(b()) = ifeq(n2(X2), s1(X20), l3(X2, X2), s1(X21)).
% 246.24/246.50 Proof: A critical pair between equations 3343 and 3185.
% 246.24/246.50
% 246.24/246.50 3370: s1(b()) = ifeq(p2(e(), X11, e()), s1(b()), s1(X20), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2657 and 3336.
% 246.24/246.50
% 246.24/246.50 3373: s1(b()) = ifeq(s1(b()), s1(b()), s1(X20), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3370 and 3033.
% 246.24/246.50
% 246.24/246.50 3385: s1(b()) = s1(X20).
% 246.24/246.50 Proof: Rewrite equation 3373,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3391: s1(b()) = ifeq(m0(X10, X8, X9), s1(b()), s1(X21), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3075 and 3385.
% 246.24/246.50
% 246.24/246.50 3394: s1(b()) = ifeq(m1(X9, X11, X2), s1(b()), s1(X21), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3072 and 3385.
% 246.24/246.50
% 246.24/246.50 3400: s1(b()) = ifeq(s1(b()), s1(b()), s1(X21), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3394 and 3068.
% 246.24/246.50
% 246.24/246.50 3406: s1(b()) = ifeq(m0(X10, X8, X9), s1(b()), s1(X21), s1(X22)).
% 246.24/246.50 Proof: A critical pair between equations 3391 and 3185.
% 246.24/246.50
% 246.24/246.50 3412: s1(b()) = s1(X21).
% 246.24/246.50 Proof: Rewrite equation 3400,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3417: s1(b()) = ifeq(m0(X10, X8, X9), s1(X23), s1(X21), s1(X22)).
% 246.24/246.50 Proof: A critical pair between equations 3406 and 3412.
% 246.24/246.50
% 246.24/246.50 3436: s1(b()) = ifeq(s1(b()), s1(b()), r3(d(), d(), d()), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2965 and 3027.
% 246.24/246.50
% 246.24/246.50 3441: s1(b()) = r3(d(), d(), d()).
% 246.24/246.50 Proof: Rewrite equation 3436,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3452: s1(b()) = ifeq(s1(b()), s1(b()), n1(b(), b(), b()), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2767 and 2691.
% 246.24/246.50
% 246.24/246.50 3454: s1(b()) = ifeq(n1(b(), b(), b()), s1(b()), s1(b()), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2772 and 2748.
% 246.24/246.50
% 246.24/246.50 3460: s1(b()) = n1(b(), b(), b()).
% 246.24/246.50 Proof: Rewrite equation 3452,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3473: s1(b()) = ifeq(n1(b(), b(), b()), s1(b()), s1(X17), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3454 and 3185.
% 246.24/246.50
% 246.24/246.50 3475: s1(b()) = s1(X17).
% 246.24/246.50 Proof: Rewrite equation 3473,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [3460,0].
% 246.24/246.50
% 246.24/246.50 3502: s1(b()) = ifeq(p2(d(), X11, d()), s1(b()), s1(b()), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2965 and 3441.
% 246.24/246.50
% 246.24/246.50 3518: s1(b()) = ifeq(p2(d(), X11, d()), s1(b()), s1(X18), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3502 and 3475.
% 246.24/246.50
% 246.24/246.50 3548: s1(b()) = ifeq(s1(b()), s1(b()), s1(X18), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3518 and 3027.
% 246.24/246.50
% 246.24/246.50 3562: s1(b()) = s1(X18).
% 246.24/246.50 Proof: Rewrite equation 3548,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3566: s1(b()) = ifeq(s1(b()), s1(b()), p1(X4, X4, X4), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2793 and 2695.
% 246.24/246.50
% 246.24/246.50 3579: s1(b()) = p1(X4, X4, X4).
% 246.24/246.50 Proof: Rewrite equation 3566,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3580: q2(X6, X6, X6) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2881,
% 246.24/246.50 lhs with equations [3579,0]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3588: ifeq(n0(X7, X8), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2776,
% 246.24/246.50 lhs with equations [3579]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3591: s1(b()) = ifeq(s1(b()), s1(b()), n2(X5), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2838 and 3579.
% 246.24/246.50
% 246.24/246.50 3594: s1(b()) = ifeq(n0(X7, X8), s1(b()), s1(X17), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3588 and 3185.
% 246.24/246.50
% 246.24/246.50 3602: s1(b()) = n2(X5).
% 246.24/246.50 Proof: Rewrite equation 3591,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3604: s1(b()) = ifeq(s1(b()), s1(X20), l3(X2, X2), s1(X21)).
% 246.24/246.50 Proof: Rewrite equation 3352,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [3602].
% 246.24/246.50
% 246.24/246.50 3606: p2(X7, X7, X7) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2874,
% 246.24/246.50 lhs with equations [3602,0]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3608: ifeq(q1(X2, c(), X1), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2884,
% 246.24/246.50 lhs with equations [3580]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3611: k3(X11, X11, X11) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2908,
% 246.24/246.50 lhs with equations [3602,0]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3619: p3(X7, X7, X7) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2942,
% 246.24/246.50 lhs with equations [3602,0]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3621: ifeq(l2(X11, X11), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2944,
% 246.24/246.50 lhs with equations [3619]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3622: ifeq(q2(X1, X2, X0), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2945,
% 246.24/246.50 lhs with equations [3602,3619,3181,3181]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3626: s1(b()) = l3(X2, X2).
% 246.24/246.50 Proof: A critical pair between equations 3604 and 0.
% 246.24/246.50
% 246.24/246.50 3630: s1(b()) = ifeq(s1(b()), s1(b()), n3(X12), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2938 and 3606.
% 246.24/246.50
% 246.24/246.50 3637: s1(b()) = ifeq(n0(X7, X8), s1(b()), s1(X17), s1(X19)).
% 246.24/246.50 Proof: A critical pair between equations 3594 and 3562.
% 246.24/246.50
% 246.24/246.50 3638: s1(b()) = n3(X12).
% 246.24/246.50 Proof: Rewrite equation 3630,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3645: ifeq(p2(X9, X10, X11), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2938,
% 246.24/246.50 lhs with equations [3638]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3648: ifeq(k3(X9, X11, X11), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2920,
% 246.24/246.50 lhs with equations [3626,3621]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3654: ifeq(k2(X9, c()), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2863,
% 246.24/246.50 lhs with equations [3606,3608]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3657: s1(b()) = ifeq(s1(b()), s1(b()), s1(X17), s1(X19)).
% 246.24/246.50 Proof: A critical pair between equations 3637 and 2716.
% 246.24/246.50
% 246.24/246.50 3664: s1(b()) = ifeq(n0(X7, X8), s1(X20), s1(X17), s1(X19)).
% 246.24/246.50 Proof: A critical pair between equations 3637 and 3185.
% 246.24/246.50
% 246.24/246.50 3669: s1(b()) = s1(X17).
% 246.24/246.50 Proof: Rewrite equation 3657,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3679: s1(b()) = ifeq(k2(X9, c()), s1(b()), s1(X18), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3654 and 3669.
% 246.24/246.50
% 246.24/246.50 3682: s1(b()) = ifeq(s1(b()), s1(b()), s1(X18), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3679 and 2661.
% 246.24/246.50
% 246.24/246.50 3694: s1(b()) = s1(X18).
% 246.24/246.50 Proof: Rewrite equation 3682,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3716: s1(b()) = ifeq(s1(b()), s1(b()), p4(X8, X8, X8), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2987 and 3619.
% 246.24/246.50
% 246.24/246.50 3717: s1(b()) = ifeq(s1(b()), s1(b()), r3(X12, X12, X12), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2965 and 3606.
% 246.24/246.50
% 246.24/246.50 3718: s1(b()) = ifeq(q2(X1, X2, X0), s1(b()), s1(b()), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3622 and 3185.
% 246.24/246.50
% 246.24/246.50 3719: s1(b()) = r3(X12, X12, X12).
% 246.24/246.50 Proof: Rewrite equation 3717,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3720: s1(b()) = p4(X8, X8, X8).
% 246.24/246.50 Proof: Rewrite equation 3716,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3722: ifeq(r3(X6, X6, X5), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 2961,
% 246.24/246.50 lhs with equations [3719,3417]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3724: ifeq(p4(X10, X8, X10), s1(b()), s1(b()), s1(b())) = s1(b()).
% 246.24/246.50 Proof: Rewrite equation 3203,
% 246.24/246.50 lhs with equations [3720,3664]
% 246.24/246.50 rhs with equations [].
% 246.24/246.50
% 246.24/246.50 3731: s1(b()) = ifeq(q2(X1, X2, X0), s1(b()), s1(X19), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3718 and 3694.
% 246.24/246.50
% 246.24/246.50 3739: s1(b()) = ifeq(s1(b()), s1(b()), s1(X19), s1(X17)).
% 246.24/246.50 Proof: A critical pair between equations 3731 and 3580.
% 246.24/246.50
% 246.24/246.50 3749: s1(b()) = ifeq(p4(X10, X8, X10), s1(b()), s1(X17), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3724 and 3185.
% 246.24/246.50
% 246.24/246.50 3751: s1(b()) = s1(X19).
% 246.24/246.50 Proof: Rewrite equation 3739,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3755: s1(b()) = ifeq(p4(X10, X8, X10), s1(b()), s1(X17), s1(X20)).
% 246.24/246.50 Proof: A critical pair between equations 3749 and 3751.
% 246.24/246.50
% 246.24/246.50 3767: s1(b()) = ifeq(s1(b()), s1(b()), s1(X17), s1(X20)).
% 246.24/246.50 Proof: A critical pair between equations 3755 and 3720.
% 246.24/246.50
% 246.24/246.50 3773: s1(b()) = ifeq(r3(X6, X6, X5), s1(b()), s1(X17), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3722 and 3185.
% 246.24/246.50
% 246.24/246.50 3778: s1(b()) = s1(X17).
% 246.24/246.50 Proof: Rewrite equation 3767,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3785: s1(b()) = ifeq(r3(X6, X6, X5), s1(b()), s1(X17), s1(X18)).
% 246.24/246.50 Proof: A critical pair between equations 3773 and 3778.
% 246.24/246.50
% 246.24/246.50 3793: s1(b()) = ifeq(s1(b()), s1(b()), s1(X17), s1(X18)).
% 246.24/246.50 Proof: A critical pair between equations 3785 and 3719.
% 246.24/246.50
% 246.24/246.50 3803: s1(b()) = ifeq(p2(X9, X10, X11), s1(b()), s1(X17), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3645 and 3185.
% 246.24/246.50
% 246.24/246.50 3804: s1(b()) = s1(X17).
% 246.24/246.50 Proof: Rewrite equation 3793,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3806: s1(b()) = ifeq(p2(X9, X10, X11), s1(b()), s1(X17), s1(X18)).
% 246.24/246.50 Proof: A critical pair between equations 3803 and 3804.
% 246.24/246.50
% 246.24/246.50 3812: s1(b()) = ifeq(s1(b()), s1(b()), p2(b(), e(), b()), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2876 and 3069.
% 246.24/246.50
% 246.24/246.50 3820: s1(b()) = p2(b(), e(), b()).
% 246.24/246.50 Proof: Rewrite equation 3812,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3822: s1(b()) = ifeq(s1(b()), s1(b()), s1(X17), s1(X18)).
% 246.24/246.50 Proof: A critical pair between equations 3806 and 3820.
% 246.24/246.50
% 246.24/246.50 3829: s1(b()) = ifeq(k3(X9, X11, X11), s1(b()), s1(X17), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3648 and 3185.
% 246.24/246.50
% 246.24/246.50 3834: s1(b()) = s1(X17).
% 246.24/246.50 Proof: Rewrite equation 3822,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3840: s1(b()) = ifeq(k3(X9, X11, X11), s1(b()), s1(X17), s1(X18)).
% 246.24/246.50 Proof: A critical pair between equations 3829 and 3834.
% 246.24/246.50
% 246.24/246.50 3848: s1(b()) = ifeq(s1(b()), s1(b()), s1(X17), s1(X18)).
% 246.24/246.50 Proof: A critical pair between equations 3840 and 3611.
% 246.24/246.50
% 246.24/246.50 3859: s1(b()) = s1(X17).
% 246.24/246.50 Proof: Rewrite equation 3848,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 3991: s1(b()) = ifeq(s4(X10), s1(b()), ifeq(s1(b()), s1(b()), k5(X13), s1(b())), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2996 and 3719.
% 246.24/246.50
% 246.24/246.50 3997: s1(b()) = ifeq(s4(X10), s1(b()), k5(X13), s1(b())).
% 246.24/246.50 Proof: Rewrite equation 3991,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 4015: s1(b()) = ifeq(s4(X10), s1(X17), k5(X13), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 3997 and 3185.
% 246.24/246.50
% 246.24/246.50 4021: s1(b()) = ifeq(s4(X10), s1(X17), k5(X13), s1(X18)).
% 246.24/246.50 Proof: A critical pair between equations 4015 and 3859.
% 246.24/246.50
% 246.24/246.50 4158: s1(b()) = ifeq(s1(b()), s1(b()), ifeq(l1(X0, X17), s1(b()), s4(X0), s1(b())), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 2995 and 3088.
% 246.24/246.50
% 246.24/246.50 4161: s1(b()) = ifeq(l1(X0, X17), s1(b()), s4(X0), s1(b())).
% 246.24/246.50 Proof: Rewrite equation 4158,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 4169: s1(b()) = ifeq(s1(b()), s1(b()), s4(e()), s1(b())).
% 246.24/246.50 Proof: A critical pair between equations 4161 and 2684.
% 246.24/246.50
% 246.24/246.50 4177: s1(b()) = s4(e()).
% 246.24/246.50 Proof: Rewrite equation 4169,
% 246.24/246.50 lhs with equations []
% 246.24/246.50 rhs with equations [0].
% 246.24/246.50
% 246.24/246.50 4182: s1(b()) = ifeq(s1(b()), s1(X17), k5(X13), s1(X18)).
% 246.24/246.50 Proof: A critical pair between equations 4021 and 4177.
% 246.24/246.50
% 246.24/246.50 4194: s1(b()) = k5(X13).
% 246.24/246.50 Proof: A critical pair between equations 4182 and 0.
% 246.24/246.50
% 246.24/246.50 4210: k5(b()) = true().
% 246.24/246.50 Proof: Rewrite lhs with equations [4194]
% 246.24/246.50 rhs with equations [2641].
% 246.24/246.50
% 246.24/246.50 % SZS output end Proof
%------------------------------------------------------------------------------