0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : twee %s --tstp --casc --quiet --explain-encoding --conditional-encoding if --smaller --drop-non-horn
0.14/0.34	% Computer   : n025.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   : 180
0.14/0.34	% DateTime   : Thu Aug 29 09:41:45 EDT 2019
0.14/0.34	% CPUTime    : 
0.86/1.01	% SZS status Unsatisfiable
0.86/1.01	
0.86/1.01	% SZS output start Proof
0.86/1.01	Take the following subset of the input axioms:
0.92/1.12	  fof(axiom_14, axiom, ![X]: p0(b, X)=true).
0.92/1.12	  fof(axiom_17, axiom, ![X]: true=q0(X, d)).
0.92/1.12	  fof(axiom_19, axiom, ![X, Y]: true=m0(X, d, Y)).
0.92/1.12	  fof(axiom_20, axiom, true=l0(a)).
0.92/1.12	  fof(axiom_28, axiom, k0(e)=true).
0.92/1.12	  fof(axiom_32, axiom, true=k0(b)).
0.92/1.12	  fof(axiom_34, axiom, n0(c, d)=true).
0.92/1.12	  fof(axiom_37, axiom, n0(b, a)=true).
0.92/1.12	  fof(axiom_5, axiom, true=s0(b)).
0.92/1.12	  fof(ifeq_axiom, axiom, ![C, B, A]: B=ifeq(A, A, B, C)).
0.92/1.12	  fof(prove_this, negated_conjecture, true!=m5(d, d)).
0.92/1.12	  fof(rule_002, axiom, ![G, H]: ifeq(n0(H, G), true, l1(G, G), true)=true).
0.92/1.12	  fof(rule_050, axiom, ![D, E]: true=ifeq(l0(D), true, ifeq(p0(b, E), true, ifeq(s0(b), true, n1(D, E, D), true), true), true)).
0.92/1.12	  fof(rule_054, axiom, ![G, E, F]: ifeq(n1(E, F, E), true, ifeq(l0(G), true, ifeq(l1(G, E), true, n1(E, F, F), true), true), true)=true).
0.92/1.12	  fof(rule_085, axiom, ![C, B]: ifeq(p0(C, B), true, p1(B, B, B), true)=true).
0.92/1.12	  fof(rule_125, axiom, ![I]: true=ifeq(p0(I, I), true, s1(I), true)).
0.92/1.12	  fof(rule_126, axiom, ![G, H, F]: true=ifeq(s1(H), true, ifeq(q0(F, G), true, s1(F), true), true)).
0.92/1.12	  fof(rule_133, axiom, ![C, J, B, A]: true=ifeq(s1(B), true, ifeq(p0(A, A), true, ifeq(m0(C, B, J), true, l2(J, J), true), true), true)).
0.92/1.12	  fof(rule_137, axiom, ![C, B, A]: ifeq(p1(B, C, A), true, n2(A), true)=true).
0.92/1.12	  fof(rule_177, axiom, ![E, F]: ifeq(p1(E, E, E), true, ifeq(k0(F), true, q2(E, F, F), true), true)=true).
0.92/1.13	  fof(rule_182, axiom, ![G, H, F]: true=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)).
0.92/1.13	  fof(rule_189, axiom, ![H]: ifeq(q2(b, H, b), true, ifeq(s1(b), true, s2(H), true), true)=true).
0.92/1.13	  fof(rule_244, axiom, ![H]: ifeq(n2(H), true, p3(H, H, H), true)=true).
0.92/1.13	  fof(rule_273, axiom, ![I, J, B, A]: ifeq(s2(I), true, ifeq(q2(A, I, A), true, ifeq(m0(A, B, J), true, s3(I, J), true), true), true)=true).
0.92/1.13	  fof(rule_279, axiom, ![G, E, F]: ifeq(s3(a, E), true, ifeq(l2(G, F), true, m4(E, F), true), true)=true).
0.92/1.13	  fof(rule_299, axiom, ![D, C, B, A]: true=ifeq(p3(B, C, D), true, ifeq(l1(A, C), true, s4(A), true), true)).
0.92/1.13	  fof(rule_305, axiom, ![B]: true=ifeq(s4(B), true, ifeq(m4(e, e), true, m5(B, B), true), true)).
0.92/1.13	
0.92/1.13	Now clausify the problem and encode Horn clauses using encoding 3 of
0.92/1.13	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
0.92/1.13	We repeatedly replace C & s=t => u=v by the two clauses:
0.92/1.13	  fresh(y, y, x1...xn) = u
0.92/1.13	  C => fresh(s, t, x1...xn) = v
0.92/1.13	where fresh is a fresh function symbol and x1..xn are the free
0.92/1.13	variables of u and v.
0.92/1.13	A predicate p(X) is encoded as p(X)=true (this is sound, because the
0.92/1.13	input problem has no model of domain size 1).
0.92/1.13	
0.92/1.13	The encoding turns the above axioms into the following unit equations and goals:
0.92/1.13	
0.92/1.13	Axiom 1 (axiom_37): n0(b, a) = true.
0.92/1.13	Axiom 2 (rule_054): ifeq(n1(X, Y, X), true, ifeq(l0(Z), true, ifeq(l1(Z, X), true, n1(X, Y, Y), true), true), true) = true.
0.92/1.13	Axiom 3 (rule_273): ifeq(s2(X), true, ifeq(q2(Y, X, Y), true, ifeq(m0(Y, Z, W), true, s3(X, W), true), true), true) = true.
0.92/1.13	Axiom 4 (rule_125): true = ifeq(p0(X, X), true, s1(X), true).
0.92/1.13	Axiom 5 (axiom_19): true = m0(X, d, Y).
0.92/1.13	Axiom 6 (rule_244): ifeq(n2(X), true, p3(X, X, X), true) = true.
0.92/1.13	Axiom 7 (axiom_5): true = s0(b).
0.92/1.13	Axiom 8 (rule_002): ifeq(n0(X, Y), true, l1(Y, Y), true) = true.
0.92/1.13	Axiom 9 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
0.92/1.13	Axiom 10 (axiom_17): true = q0(X, d).
0.92/1.13	Axiom 11 (rule_279): ifeq(s3(a, X), true, ifeq(l2(Y, Z), true, m4(X, Z), true), true) = true.
0.92/1.13	Axiom 12 (rule_177): ifeq(p1(X, X, X), true, ifeq(k0(Y), true, q2(X, Y, Y), true), true) = true.
0.92/1.13	Axiom 13 (rule_299): true = ifeq(p3(X, Y, Z), true, ifeq(l1(W, Y), true, s4(W), true), true).
0.92/1.13	Axiom 14 (axiom_34): n0(c, d) = true.
0.92/1.13	Axiom 15 (ifeq_axiom): X = ifeq(Y, Y, X, Z).
0.92/1.13	Axiom 16 (axiom_14): p0(b, X) = true.
0.92/1.13	Axiom 17 (rule_182): true = ifeq(q2(X, Y, Z), true, ifeq(p1(Z, Z, Y), true, ifeq(n1(X, Z, Y), true, q2(Z, X, Z), true), true), true).
0.92/1.13	Axiom 18 (rule_133): true = ifeq(s1(X), true, ifeq(p0(Y, Y), true, ifeq(m0(Z, X, W), true, l2(W, W), true), true), true).
0.92/1.13	Axiom 19 (rule_137): ifeq(p1(X, Y, Z), true, n2(Z), true) = true.
0.92/1.13	Axiom 20 (rule_050): true = ifeq(l0(X), true, ifeq(p0(b, Y), true, ifeq(s0(b), true, n1(X, Y, X), true), true), true).
0.92/1.13	Axiom 21 (rule_305): true = ifeq(s4(X), true, ifeq(m4(e, e), true, m5(X, X), true), true).
0.92/1.13	Axiom 22 (rule_189): ifeq(q2(b, X, b), true, ifeq(s1(b), true, s2(X), true), true) = true.
0.92/1.13	Axiom 23 (axiom_32): true = k0(b).
0.92/1.13	Axiom 24 (axiom_28): k0(e) = true.
0.92/1.13	Axiom 25 (rule_126): true = ifeq(s1(X), true, ifeq(q0(Y, Z), true, s1(Y), true), true).
0.92/1.14	Axiom 26 (axiom_20): true = l0(a).
0.92/1.14	
0.92/1.14	Lemma 27: s1(b) = true.
0.92/1.14	Proof:
0.92/1.14	  s1(b)
0.92/1.14	= { by axiom 15 (ifeq_axiom) }
0.92/1.14	  ifeq(true, true, s1(b), true)
0.92/1.14	= { by axiom 16 (axiom_14) }
0.92/1.14	  ifeq(p0(b, b), true, s1(b), true)
0.92/1.14	= { by axiom 4 (rule_125) }
0.92/1.14	  true
0.92/1.14	
0.92/1.14	Lemma 28: p1(X, X, X) = true.
0.92/1.14	Proof:
0.92/1.14	  p1(X, X, X)
0.92/1.14	= { by axiom 15 (ifeq_axiom) }
0.92/1.14	  ifeq(true, true, p1(X, X, X), true)
0.92/1.14	= { by axiom 16 (axiom_14) }
0.92/1.14	  ifeq(p0(b, X), true, p1(X, X, X), true)
0.92/1.14	= { by axiom 9 (rule_085) }
0.92/1.14	  true
0.92/1.14	
0.92/1.14	Lemma 29: ifeq(k0(X), true, q2(Y, X, X), true) = true.
0.92/1.14	Proof:
0.92/1.14	  ifeq(k0(X), true, q2(Y, X, X), true)
0.92/1.14	= { by axiom 15 (ifeq_axiom) }
0.92/1.14	  ifeq(true, true, ifeq(k0(X), true, q2(Y, X, X), true), true)
0.92/1.14	= { by lemma 28 }
0.92/1.14	  ifeq(p1(Y, Y, Y), true, ifeq(k0(X), true, q2(Y, X, X), true), true)
0.92/1.14	= { by axiom 12 (rule_177) }
0.92/1.16	  true
0.92/1.16	
0.92/1.16	Lemma 30: ifeq(q2(a, X, X), true, q2(X, a, X), true) = true.
0.92/1.16	Proof:
0.92/1.16	  ifeq(q2(a, X, X), true, q2(X, a, X), true)
0.92/1.16	= { by axiom 15 (ifeq_axiom) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(true, true, q2(X, a, X), true), true)
0.92/1.16	= { by lemma 28 }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, q2(X, a, X), true), true)
0.92/1.16	= { by axiom 15 (ifeq_axiom) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(true, true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 2 (rule_054) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(n1(a, X, a), true, ifeq(l0(a), true, ifeq(l1(a, a), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 15 (ifeq_axiom) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(ifeq(true, true, n1(a, X, a), true), true, ifeq(l0(a), true, ifeq(l1(a, a), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 26 (axiom_20) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(ifeq(l0(a), true, n1(a, X, a), true), true, ifeq(l0(a), true, ifeq(l1(a, a), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 15 (ifeq_axiom) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(ifeq(l0(a), true, ifeq(true, true, n1(a, X, a), true), true), true, ifeq(l0(a), true, ifeq(l1(a, a), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 15 (ifeq_axiom) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(ifeq(l0(a), true, ifeq(true, true, ifeq(true, true, n1(a, X, a), true), true), true), true, ifeq(l0(a), true, ifeq(l1(a, a), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 16 (axiom_14) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(ifeq(l0(a), true, ifeq(p0(b, X), true, ifeq(true, true, n1(a, X, a), true), true), true), true, ifeq(l0(a), true, ifeq(l1(a, a), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 7 (axiom_5) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(ifeq(l0(a), true, ifeq(p0(b, X), true, ifeq(s0(b), true, n1(a, X, a), true), true), true), true, ifeq(l0(a), true, ifeq(l1(a, a), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 20 (rule_050) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(true, true, ifeq(l0(a), true, ifeq(l1(a, a), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 26 (axiom_20) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(true, true, ifeq(true, true, ifeq(l1(a, a), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 15 (ifeq_axiom) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(true, true, ifeq(true, true, ifeq(ifeq(true, true, l1(a, a), true), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 1 (axiom_37) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(true, true, ifeq(true, true, ifeq(ifeq(n0(b, a), true, l1(a, a), true), true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 8 (rule_002) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(true, true, ifeq(true, true, ifeq(true, true, n1(a, X, X), true), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 15 (ifeq_axiom) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(true, true, ifeq(true, true, n1(a, X, X), true), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 15 (ifeq_axiom) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(ifeq(true, true, n1(a, X, X), true), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 15 (ifeq_axiom) }
0.92/1.16	  ifeq(q2(a, X, X), true, ifeq(p1(X, X, X), true, ifeq(n1(a, X, X), true, q2(X, a, X), true), true), true)
0.92/1.16	= { by axiom 17 (rule_182) }
1.10/1.28	  true
1.10/1.28	
1.10/1.28	Goal 1 (prove_this): true = m5(d, d).
1.10/1.28	Proof:
1.10/1.28	  true
1.10/1.28	= { by axiom 21 (rule_305) }
1.10/1.28	  ifeq(s4(d), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(true, true, s4(d), true), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 6 (rule_244) }
1.10/1.28	  ifeq(ifeq(ifeq(n2(d), true, p3(d, d, d), true), true, s4(d), true), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(ifeq(ifeq(true, true, n2(d), true), true, p3(d, d, d), true), true, s4(d), true), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by lemma 28 }
1.10/1.28	  ifeq(ifeq(ifeq(ifeq(p1(d, d, d), true, n2(d), true), true, p3(d, d, d), true), true, s4(d), true), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 19 (rule_137) }
1.10/1.28	  ifeq(ifeq(ifeq(true, true, p3(d, d, d), true), true, s4(d), true), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(p3(d, d, d), true, s4(d), true), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(p3(d, d, d), true, ifeq(true, true, s4(d), true), true), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 8 (rule_002) }
1.10/1.28	  ifeq(ifeq(p3(d, d, d), true, ifeq(ifeq(n0(c, d), true, l1(d, d), true), true, s4(d), true), true), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 14 (axiom_34) }
1.10/1.28	  ifeq(ifeq(p3(d, d, d), true, ifeq(ifeq(true, true, l1(d, d), true), true, s4(d), true), true), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(p3(d, d, d), true, ifeq(l1(d, d), true, s4(d), true), true), true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 13 (rule_299) }
1.10/1.28	  ifeq(true, true, ifeq(m4(e, e), true, m5(d, d), true), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(m4(e, e), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(true, true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 3 (rule_273) }
1.10/1.28	  ifeq(ifeq(ifeq(s2(a), true, ifeq(q2(e, a, e), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(ifeq(ifeq(true, true, s2(a), true), true, ifeq(q2(e, a, e), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by lemma 27 }
1.10/1.28	  ifeq(ifeq(ifeq(ifeq(s1(b), true, s2(a), true), true, ifeq(q2(e, a, e), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(ifeq(ifeq(true, true, ifeq(s1(b), true, s2(a), true), true), true, ifeq(q2(e, a, e), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by lemma 30 }
1.10/1.28	  ifeq(ifeq(ifeq(ifeq(ifeq(q2(a, b, b), true, q2(b, a, b), true), true, ifeq(s1(b), true, s2(a), true), true), true, ifeq(q2(e, a, e), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q2(a, b, b), true), true, q2(b, a, b), true), true, ifeq(s1(b), true, s2(a), true), true), true, ifeq(q2(e, a, e), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 23 (axiom_32) }
1.10/1.28	  ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(k0(b), true, q2(a, b, b), true), true, q2(b, a, b), true), true, ifeq(s1(b), true, s2(a), true), true), true, ifeq(q2(e, a, e), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by lemma 29 }
1.10/1.28	  ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q2(b, a, b), true), true, ifeq(s1(b), true, s2(a), true), true), true, ifeq(q2(e, a, e), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(ifeq(ifeq(q2(b, a, b), true, ifeq(s1(b), true, s2(a), true), true), true, ifeq(q2(e, a, e), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 22 (rule_189) }
1.10/1.28	  ifeq(ifeq(ifeq(true, true, ifeq(q2(e, a, e), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(ifeq(true, true, ifeq(ifeq(true, true, q2(e, a, e), true), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by lemma 29 }
1.10/1.28	  ifeq(ifeq(ifeq(true, true, ifeq(ifeq(ifeq(k0(e), true, q2(a, e, e), true), true, q2(e, a, e), true), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 24 (axiom_28) }
1.10/1.28	  ifeq(ifeq(ifeq(true, true, ifeq(ifeq(ifeq(true, true, q2(a, e, e), true), true, q2(e, a, e), true), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(ifeq(true, true, ifeq(ifeq(q2(a, e, e), true, q2(e, a, e), true), true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by lemma 30 }
1.10/1.28	  ifeq(ifeq(ifeq(true, true, ifeq(true, true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(ifeq(true, true, ifeq(m0(e, d, e), true, s3(a, e), true), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(ifeq(m0(e, d, e), true, s3(a, e), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 5 (axiom_19) }
1.10/1.28	  ifeq(ifeq(ifeq(true, true, s3(a, e), true), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, m4(e, e), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(true, true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 18 (rule_133) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(ifeq(s1(d), true, ifeq(p0(b, b), true, ifeq(m0(?, d, e), true, l2(e, e), true), true), true), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(ifeq(ifeq(true, true, s1(d), true), true, ifeq(p0(b, b), true, ifeq(m0(?, d, e), true, l2(e, e), true), true), true), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by lemma 27 }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(ifeq(ifeq(s1(b), true, s1(d), true), true, ifeq(p0(b, b), true, ifeq(m0(?, d, e), true, l2(e, e), true), true), true), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(ifeq(ifeq(s1(b), true, ifeq(true, true, s1(d), true), true), true, ifeq(p0(b, b), true, ifeq(m0(?, d, e), true, l2(e, e), true), true), true), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 10 (axiom_17) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(ifeq(ifeq(s1(b), true, ifeq(q0(d, d), true, s1(d), true), true), true, ifeq(p0(b, b), true, ifeq(m0(?, d, e), true, l2(e, e), true), true), true), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 25 (rule_126) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(ifeq(true, true, ifeq(p0(b, b), true, ifeq(m0(?, d, e), true, l2(e, e), true), true), true), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 5 (axiom_19) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(ifeq(true, true, ifeq(p0(b, b), true, ifeq(true, true, l2(e, e), true), true), true), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(ifeq(true, true, ifeq(p0(b, b), true, l2(e, e), true), true), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(ifeq(p0(b, b), true, l2(e, e), true), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 16 (axiom_14) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(ifeq(true, true, l2(e, e), true), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  ifeq(ifeq(s3(a, e), true, ifeq(l2(e, e), true, m4(e, e), true), true), true, m5(d, d), true)
1.10/1.28	= { by axiom 11 (rule_279) }
1.10/1.28	  ifeq(true, true, m5(d, d), true)
1.10/1.28	= { by axiom 15 (ifeq_axiom) }
1.10/1.28	  m5(d, d)
1.10/1.28	% SZS output end Proof
1.10/1.28	
1.10/1.28	RESULT: Unsatisfiable (the axioms are contradictory).
1.10/1.28	EOF