TSTP Solution File: SYN181-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN181-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n027.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 03:33:29 EDT 2023
% Result : Unsatisfiable 45.91s 6.39s
% Output : Proof 47.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN181-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 20:23:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 45.91/6.39 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 45.91/6.39
% 45.91/6.39 % SZS status Unsatisfiable
% 45.91/6.39
% 46.61/6.48 % SZS output start Proof
% 46.61/6.48 Take the following subset of the input axioms:
% 46.61/6.48 fof(axiom_1, axiom, s0(d)).
% 46.61/6.48 fof(axiom_14, axiom, ![X]: p0(b, X)).
% 46.61/6.48 fof(axiom_17, axiom, ![X2]: q0(X2, d)).
% 46.61/6.48 fof(axiom_19, axiom, ![Y, X2]: m0(X2, d, Y)).
% 46.61/6.48 fof(axiom_32, axiom, k0(b)).
% 46.61/6.48 fof(axiom_34, axiom, n0(c, d)).
% 46.61/6.48 fof(axiom_5, axiom, s0(b)).
% 46.61/6.48 fof(prove_this, negated_conjecture, ~q4(d, b)).
% 46.61/6.48 fof(rule_001, axiom, ![I, J]: (k1(I) | ~n0(J, I))).
% 46.61/6.48 fof(rule_005, axiom, ![C, B]: (m1(B, C, B) | ~m0(C, C, B))).
% 46.61/6.48 fof(rule_029, axiom, ![H, I2]: (m1(H, I2, H) | (~p0(H, I2) | ~s0(H)))).
% 46.61/6.48 fof(rule_085, axiom, ![C2, B2]: (p1(B2, B2, B2) | ~p0(C2, B2))).
% 46.61/6.48 fof(rule_107, axiom, ![A2]: (q1(e, A2, A2) | (~m0(A2, d, A2) | ~m0(e, d, A2)))).
% 46.61/6.48 fof(rule_110, axiom, ![D, C2, B2]: (q1(B2, B2, B2) | ~m0(C2, D, B2))).
% 46.61/6.48 fof(rule_124, axiom, ![E, D2]: (r1(D2) | (~q0(D2, E) | (~s0(d) | ~q1(d, E, d))))).
% 46.61/6.48 fof(rule_125, axiom, ![I2]: (s1(I2) | ~p0(I2, I2))).
% 46.61/6.48 fof(rule_126, axiom, ![G, F, H2]: (s1(F) | (~q0(F, G) | ~s1(H2)))).
% 46.61/6.48 fof(rule_127, axiom, ![C2, D2, E2, F2]: (k2(C2, D2) | (~m1(E2, D2, C2) | (~k1(F2) | ~k2(F2, D2))))).
% 46.61/6.48 fof(rule_129, axiom, ![A, J2]: (k2(J2, J2) | ~q1(A, J2, J2))).
% 46.61/6.48 fof(rule_134, axiom, ![G2, I2, H2]: (l2(G2, G2) | (~m0(H2, G2, I2) | (~m1(I2, H2, H2) | ~p0(H2, G2))))).
% 46.61/6.48 fof(rule_181, axiom, ![I2]: (q2(I2, I2, I2) | ~p1(I2, I2, I2))).
% 46.61/6.48 fof(rule_187, axiom, ![C2, D2, E2, F2]: (q2(C2, D2, C2) | (~r1(D2) | (~m0(E2, F2, C2) | (~k0(D2) | ~q2(D2, D2, D2)))))).
% 46.61/6.48 fof(rule_190, axiom, s2(d) | (~s1(a) | ~s0(d))).
% 46.61/6.48 fof(rule_194, axiom, ![F2, G2]: (k3(F2, F2, G2) | ~k2(G2, F2))).
% 46.61/6.48 fof(rule_225, axiom, ![C2, B2, J2, A2_2]: (m3(J2, A2_2, J2) | (~m0(B2, B2, A2_2) | (~l2(C2, J2) | (~m0(J2, C2, C2) | ~s2(B2)))))).
% 46.61/6.48 fof(rule_295, axiom, ![C2, D2, E2, F2, B2]: (q4(B2, C2) | (~k3(D2, D2, B2) | (~q2(E2, C2, B2) | ~m3(E2, F2, E2))))).
% 46.61/6.48
% 46.61/6.48 Now clausify the problem and encode Horn clauses using encoding 3 of
% 46.61/6.48 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 46.61/6.48 We repeatedly replace C & s=t => u=v by the two clauses:
% 46.61/6.48 fresh(y, y, x1...xn) = u
% 46.61/6.48 C => fresh(s, t, x1...xn) = v
% 46.61/6.48 where fresh is a fresh function symbol and x1..xn are the free
% 46.61/6.48 variables of u and v.
% 46.61/6.48 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 46.61/6.48 input problem has no model of domain size 1).
% 46.61/6.48
% 46.61/6.48 The encoding turns the above axioms into the following unit equations and goals:
% 46.61/6.48
% 46.61/6.48 Axiom 1 (axiom_32): k0(b) = true.
% 46.61/6.48 Axiom 2 (axiom_1): s0(d) = true.
% 46.61/6.48 Axiom 3 (axiom_5): s0(b) = true.
% 46.61/6.48 Axiom 4 (rule_190): fresh190(X, X) = s2(d).
% 46.61/6.48 Axiom 5 (rule_190): fresh189(X, X) = true.
% 46.61/6.48 Axiom 6 (axiom_34): n0(c, d) = true.
% 46.61/6.48 Axiom 7 (axiom_17): q0(X, d) = true.
% 46.61/6.48 Axiom 8 (axiom_14): p0(b, X) = true.
% 46.61/6.48 Axiom 9 (rule_124): fresh593(X, X, Y) = true.
% 46.61/6.48 Axiom 10 (rule_134): fresh583(X, X, Y) = true.
% 46.61/6.48 Axiom 11 (rule_001): fresh440(X, X, Y) = true.
% 46.61/6.48 Axiom 12 (rule_085): fresh328(X, X, Y) = true.
% 46.61/6.48 Axiom 13 (rule_107): fresh300(X, X, Y) = true.
% 46.61/6.48 Axiom 14 (rule_110): fresh297(X, X, Y) = true.
% 46.61/6.48 Axiom 15 (rule_124): fresh276(X, X, Y) = r1(Y).
% 46.61/6.48 Axiom 16 (rule_125): fresh275(X, X, Y) = true.
% 46.61/6.48 Axiom 17 (rule_126): fresh273(X, X, Y) = true.
% 46.61/6.48 Axiom 18 (rule_129): fresh270(X, X, Y) = true.
% 46.61/6.48 Axiom 19 (rule_181): fresh200(X, X, Y) = true.
% 46.61/6.48 Axiom 20 (rule_190): fresh190(s1(a), true) = fresh189(s0(d), true).
% 46.61/6.48 Axiom 21 (rule_107): fresh301(X, X, Y) = q1(e, Y, Y).
% 46.61/6.48 Axiom 22 (axiom_19): m0(X, d, Y) = true.
% 46.61/6.48 Axiom 23 (rule_124): fresh592(X, X, Y, Z) = fresh593(s0(d), true, Y).
% 46.61/6.48 Axiom 24 (rule_127): fresh591(X, X, Y, Z) = true.
% 46.61/6.48 Axiom 25 (rule_187): fresh545(X, X, Y, Z) = true.
% 46.61/6.48 Axiom 26 (rule_225): fresh519(X, X, Y, Z) = true.
% 46.61/6.48 Axiom 27 (rule_295): fresh463(X, X, Y, Z) = true.
% 46.61/6.48 Axiom 28 (rule_005): fresh437(X, X, Y, Z) = true.
% 46.61/6.48 Axiom 29 (rule_029): fresh404(X, X, Y, Z) = m1(Y, Z, Y).
% 46.61/6.48 Axiom 30 (rule_029): fresh403(X, X, Y, Z) = true.
% 46.61/6.48 Axiom 31 (rule_126): fresh274(X, X, Y, Z) = s1(Y).
% 46.61/6.48 Axiom 32 (rule_194): fresh184(X, X, Y, Z) = true.
% 46.61/6.48 Axiom 33 (rule_225): fresh517(X, X, Y, Z, W) = m3(Y, Z, Y).
% 46.61/6.48 Axiom 34 (rule_001): fresh440(n0(X, Y), true, Y) = k1(Y).
% 46.61/6.48 Axiom 35 (rule_085): fresh328(p0(X, Y), true, Y) = p1(Y, Y, Y).
% 46.61/6.48 Axiom 36 (rule_125): fresh275(p0(X, X), true, X) = s1(X).
% 46.61/6.48 Axiom 37 (rule_126): fresh274(s1(X), true, Y, Z) = fresh273(q0(Y, Z), true, Y).
% 46.61/6.48 Axiom 38 (rule_127): fresh272(X, X, Y, Z, W) = k2(Y, Z).
% 46.61/6.48 Axiom 39 (rule_134): fresh266(X, X, Y, Z, W) = l2(Y, Y).
% 46.61/6.48 Axiom 40 (rule_295): fresh51(X, X, Y, Z, W) = q4(Y, Z).
% 46.61/6.48 Axiom 41 (rule_127): fresh590(X, X, Y, Z, W, V) = fresh591(k1(W), true, Y, Z).
% 46.61/6.48 Axiom 42 (rule_134): fresh582(X, X, Y, Z, W) = fresh583(m0(Z, Y, W), true, Y).
% 46.61/6.48 Axiom 43 (rule_187): fresh543(X, X, Y, Z, W, V) = q2(Y, Z, Y).
% 46.61/6.48 Axiom 44 (rule_029): fresh404(p0(X, Y), true, X, Y) = fresh403(s0(X), true, X, Y).
% 47.35/6.48 Axiom 45 (rule_107): fresh301(m0(e, d, X), true, X) = fresh300(m0(X, d, X), true, X).
% 47.35/6.48 Axiom 46 (rule_110): fresh297(m0(X, Y, Z), true, Z) = q1(Z, Z, Z).
% 47.35/6.48 Axiom 47 (rule_129): fresh270(q1(X, Y, Y), true, Y) = k2(Y, Y).
% 47.35/6.48 Axiom 48 (rule_181): fresh200(p1(X, X, X), true, X) = q2(X, X, X).
% 47.35/6.48 Axiom 49 (rule_194): fresh184(k2(X, Y), true, Y, X) = k3(Y, Y, X).
% 47.35/6.48 Axiom 50 (rule_124): fresh592(q1(d, X, d), true, Y, X) = fresh276(q0(Y, X), true, Y).
% 47.35/6.48 Axiom 51 (rule_187): fresh544(X, X, Y, Z, W, V) = fresh545(m0(W, V, Y), true, Y, Z).
% 47.35/6.48 Axiom 52 (rule_187): fresh542(X, X, Y, Z, W, V) = fresh543(k0(Z), true, Y, Z, W, V).
% 47.35/6.48 Axiom 53 (rule_225): fresh518(X, X, Y, Z, W, V) = fresh519(m0(Y, W, W), true, Y, Z).
% 47.35/6.48 Axiom 54 (rule_295): fresh462(X, X, Y, Z, W, V) = fresh463(q2(W, Z, Y), true, Y, Z).
% 47.35/6.48 Axiom 55 (rule_005): fresh437(m0(X, X, Y), true, Y, X) = m1(Y, X, Y).
% 47.35/6.48 Axiom 56 (rule_134): fresh582(m1(X, Y, Y), true, Z, Y, X) = fresh266(p0(Y, Z), true, Z, Y, X).
% 47.35/6.48 Axiom 57 (rule_225): fresh516(s2(X), true, Y, Z, W, X) = fresh518(l2(W, Y), true, Y, Z, W, X).
% 47.35/6.48 Axiom 58 (rule_225): fresh516(X, X, Y, Z, W, V) = fresh517(m0(V, V, Z), true, Y, Z, W).
% 47.35/6.48 Axiom 59 (rule_127): fresh590(k2(X, Y), true, Z, Y, X, W) = fresh272(m1(W, Y, Z), true, Z, Y, X).
% 47.35/6.48 Axiom 60 (rule_187): fresh542(q2(X, X, X), true, Y, X, Z, W) = fresh544(r1(X), true, Y, X, Z, W).
% 47.35/6.48 Axiom 61 (rule_295): fresh462(m3(X, Y, X), true, Z, W, X, V) = fresh51(k3(V, V, Z), true, Z, W, X).
% 47.35/6.48
% 47.35/6.48 Goal 1 (prove_this): q4(d, b) = true.
% 47.35/6.48 Proof:
% 47.35/6.48 q4(d, b)
% 47.35/6.48 = { by axiom 40 (rule_295) R->L }
% 47.35/6.48 fresh51(true, true, d, b, d)
% 47.35/6.48 = { by axiom 32 (rule_194) R->L }
% 47.35/6.48 fresh51(fresh184(true, true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 24 (rule_127) R->L }
% 47.35/6.48 fresh51(fresh184(fresh591(true, true, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 11 (rule_001) R->L }
% 47.35/6.48 fresh51(fresh184(fresh591(fresh440(true, true, d), true, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 6 (axiom_34) R->L }
% 47.35/6.48 fresh51(fresh184(fresh591(fresh440(n0(c, d), true, d), true, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 34 (rule_001) }
% 47.35/6.48 fresh51(fresh184(fresh591(k1(d), true, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 41 (rule_127) R->L }
% 47.35/6.48 fresh51(fresh184(fresh590(true, true, d, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 18 (rule_129) R->L }
% 47.35/6.48 fresh51(fresh184(fresh590(fresh270(true, true, d), true, d, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 13 (rule_107) R->L }
% 47.35/6.48 fresh51(fresh184(fresh590(fresh270(fresh300(true, true, d), true, d), true, d, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 22 (axiom_19) R->L }
% 47.35/6.48 fresh51(fresh184(fresh590(fresh270(fresh300(m0(d, d, d), true, d), true, d), true, d, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 45 (rule_107) R->L }
% 47.35/6.48 fresh51(fresh184(fresh590(fresh270(fresh301(m0(e, d, d), true, d), true, d), true, d, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 22 (axiom_19) }
% 47.35/6.48 fresh51(fresh184(fresh590(fresh270(fresh301(true, true, d), true, d), true, d, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 21 (rule_107) }
% 47.35/6.48 fresh51(fresh184(fresh590(fresh270(q1(e, d, d), true, d), true, d, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 47 (rule_129) }
% 47.35/6.48 fresh51(fresh184(fresh590(k2(d, d), true, d, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.48 = { by axiom 59 (rule_127) }
% 47.35/6.49 fresh51(fresh184(fresh272(m1(d, d, d), true, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.49 = { by axiom 55 (rule_005) R->L }
% 47.35/6.49 fresh51(fresh184(fresh272(fresh437(m0(d, d, d), true, d, d), true, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.49 = { by axiom 22 (axiom_19) }
% 47.35/6.49 fresh51(fresh184(fresh272(fresh437(true, true, d, d), true, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.49 = { by axiom 28 (rule_005) }
% 47.35/6.49 fresh51(fresh184(fresh272(true, true, d, d, d), true, d, d), true, d, b, d)
% 47.35/6.49 = { by axiom 38 (rule_127) }
% 47.35/6.49 fresh51(fresh184(k2(d, d), true, d, d), true, d, b, d)
% 47.35/6.49 = { by axiom 49 (rule_194) }
% 47.35/6.49 fresh51(k3(d, d, d), true, d, b, d)
% 47.35/6.49 = { by axiom 61 (rule_295) R->L }
% 47.35/6.49 fresh462(m3(d, X, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 33 (rule_225) R->L }
% 47.35/6.49 fresh462(fresh517(true, true, d, X, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 22 (axiom_19) R->L }
% 47.35/6.49 fresh462(fresh517(m0(d, d, X), true, d, X, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 58 (rule_225) R->L }
% 47.35/6.49 fresh462(fresh516(true, true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 5 (rule_190) R->L }
% 47.35/6.49 fresh462(fresh516(fresh189(true, true), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 2 (axiom_1) R->L }
% 47.35/6.49 fresh462(fresh516(fresh189(s0(d), true), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 20 (rule_190) R->L }
% 47.35/6.49 fresh462(fresh516(fresh190(s1(a), true), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 31 (rule_126) R->L }
% 47.35/6.49 fresh462(fresh516(fresh190(fresh274(true, true, a, d), true), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 16 (rule_125) R->L }
% 47.35/6.49 fresh462(fresh516(fresh190(fresh274(fresh275(true, true, b), true, a, d), true), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 8 (axiom_14) R->L }
% 47.35/6.49 fresh462(fresh516(fresh190(fresh274(fresh275(p0(b, b), true, b), true, a, d), true), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 36 (rule_125) }
% 47.35/6.49 fresh462(fresh516(fresh190(fresh274(s1(b), true, a, d), true), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 37 (rule_126) }
% 47.35/6.49 fresh462(fresh516(fresh190(fresh273(q0(a, d), true, a), true), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 7 (axiom_17) }
% 47.35/6.49 fresh462(fresh516(fresh190(fresh273(true, true, a), true), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 17 (rule_126) }
% 47.35/6.49 fresh462(fresh516(fresh190(true, true), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 4 (rule_190) }
% 47.35/6.49 fresh462(fresh516(s2(d), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 57 (rule_225) }
% 47.35/6.49 fresh462(fresh518(l2(d, d), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 39 (rule_134) R->L }
% 47.35/6.49 fresh462(fresh518(fresh266(true, true, d, b, b), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 8 (axiom_14) R->L }
% 47.35/6.49 fresh462(fresh518(fresh266(p0(b, d), true, d, b, b), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 56 (rule_134) R->L }
% 47.35/6.49 fresh462(fresh518(fresh582(m1(b, b, b), true, d, b, b), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 29 (rule_029) R->L }
% 47.35/6.49 fresh462(fresh518(fresh582(fresh404(true, true, b, b), true, d, b, b), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 8 (axiom_14) R->L }
% 47.35/6.49 fresh462(fresh518(fresh582(fresh404(p0(b, b), true, b, b), true, d, b, b), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 44 (rule_029) }
% 47.35/6.49 fresh462(fresh518(fresh582(fresh403(s0(b), true, b, b), true, d, b, b), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 3 (axiom_5) }
% 47.35/6.49 fresh462(fresh518(fresh582(fresh403(true, true, b, b), true, d, b, b), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 30 (rule_029) }
% 47.35/6.49 fresh462(fresh518(fresh582(true, true, d, b, b), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 42 (rule_134) }
% 47.35/6.49 fresh462(fresh518(fresh583(m0(b, d, b), true, d), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 22 (axiom_19) }
% 47.35/6.49 fresh462(fresh518(fresh583(true, true, d), true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 10 (rule_134) }
% 47.35/6.49 fresh462(fresh518(true, true, d, X, d, d), true, d, b, d, d)
% 47.35/6.49 = { by axiom 53 (rule_225) }
% 47.35/6.49 fresh462(fresh519(m0(d, d, d), true, d, X), true, d, b, d, d)
% 47.35/6.49 = { by axiom 22 (axiom_19) }
% 47.35/6.49 fresh462(fresh519(true, true, d, X), true, d, b, d, d)
% 47.35/6.49 = { by axiom 26 (rule_225) }
% 47.35/6.49 fresh462(true, true, d, b, d, d)
% 47.35/6.49 = { by axiom 54 (rule_295) }
% 47.35/6.49 fresh463(q2(d, b, d), true, d, b)
% 47.35/6.49 = { by axiom 43 (rule_187) R->L }
% 47.35/6.49 fresh463(fresh543(true, true, d, b, Y, d), true, d, b)
% 47.35/6.49 = { by axiom 1 (axiom_32) R->L }
% 47.35/6.49 fresh463(fresh543(k0(b), true, d, b, Y, d), true, d, b)
% 47.35/6.49 = { by axiom 52 (rule_187) R->L }
% 47.35/6.49 fresh463(fresh542(true, true, d, b, Y, d), true, d, b)
% 47.35/6.49 = { by axiom 19 (rule_181) R->L }
% 47.35/6.49 fresh463(fresh542(fresh200(true, true, b), true, d, b, Y, d), true, d, b)
% 47.35/6.49 = { by axiom 12 (rule_085) R->L }
% 47.35/6.49 fresh463(fresh542(fresh200(fresh328(true, true, b), true, b), true, d, b, Y, d), true, d, b)
% 47.35/6.49 = { by axiom 8 (axiom_14) R->L }
% 47.38/6.49 fresh463(fresh542(fresh200(fresh328(p0(b, b), true, b), true, b), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 35 (rule_085) }
% 47.38/6.49 fresh463(fresh542(fresh200(p1(b, b, b), true, b), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 48 (rule_181) }
% 47.38/6.49 fresh463(fresh542(q2(b, b, b), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 60 (rule_187) }
% 47.38/6.49 fresh463(fresh544(r1(b), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 15 (rule_124) R->L }
% 47.38/6.49 fresh463(fresh544(fresh276(true, true, b), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 7 (axiom_17) R->L }
% 47.38/6.49 fresh463(fresh544(fresh276(q0(b, d), true, b), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 50 (rule_124) R->L }
% 47.38/6.49 fresh463(fresh544(fresh592(q1(d, d, d), true, b, d), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 46 (rule_110) R->L }
% 47.38/6.49 fresh463(fresh544(fresh592(fresh297(m0(Z, d, d), true, d), true, b, d), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 22 (axiom_19) }
% 47.38/6.49 fresh463(fresh544(fresh592(fresh297(true, true, d), true, b, d), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 14 (rule_110) }
% 47.38/6.49 fresh463(fresh544(fresh592(true, true, b, d), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 23 (rule_124) }
% 47.38/6.49 fresh463(fresh544(fresh593(s0(d), true, b), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 2 (axiom_1) }
% 47.38/6.49 fresh463(fresh544(fresh593(true, true, b), true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 9 (rule_124) }
% 47.38/6.49 fresh463(fresh544(true, true, d, b, Y, d), true, d, b)
% 47.38/6.49 = { by axiom 51 (rule_187) }
% 47.38/6.49 fresh463(fresh545(m0(Y, d, d), true, d, b), true, d, b)
% 47.38/6.49 = { by axiom 22 (axiom_19) }
% 47.38/6.49 fresh463(fresh545(true, true, d, b), true, d, b)
% 47.38/6.49 = { by axiom 25 (rule_187) }
% 47.38/6.49 fresh463(true, true, d, b)
% 47.38/6.49 = { by axiom 27 (rule_295) }
% 47.38/6.49 true
% 47.38/6.49 % SZS output end Proof
% 47.38/6.49
% 47.38/6.49 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------