TSTP Solution File: SYN129-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN129-1 : 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 03:33:17 EDT 2023
% Result : Unsatisfiable 33.29s 4.66s
% Output : Proof 33.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN129-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.17/0.35 % Computer : n027.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 19:32:05 EDT 2023
% 0.17/0.35 % CPUTime :
% 33.29/4.66 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 33.29/4.66
% 33.29/4.66 % SZS status Unsatisfiable
% 33.29/4.66
% 33.92/4.71 % SZS output start Proof
% 33.92/4.71 Take the following subset of the input axioms:
% 33.92/4.72 fof(axiom_1, axiom, s0(d)).
% 33.92/4.72 fof(axiom_17, axiom, ![X]: q0(X, d)).
% 33.92/4.72 fof(axiom_19, axiom, ![Y, X2]: m0(X2, d, Y)).
% 33.92/4.72 fof(axiom_28, axiom, k0(e)).
% 33.92/4.72 fof(axiom_30, axiom, n0(e, e)).
% 33.92/4.72 fof(axiom_34, axiom, n0(c, d)).
% 33.92/4.72 fof(prove_this, negated_conjecture, ~l5(e)).
% 33.92/4.72 fof(rule_001, axiom, ![I, J]: (k1(I) | ~n0(J, I))).
% 33.92/4.72 fof(rule_005, axiom, ![C, B]: (m1(B, C, B) | ~m0(C, C, B))).
% 33.92/4.72 fof(rule_036, axiom, ![A2, B2]: (n1(A2, A2, B2) | ~m0(b, B2, A2))).
% 33.92/4.72 fof(rule_067, axiom, ![E, F]: (p1(E, E, E) | ~q0(F, E))).
% 33.92/4.72 fof(rule_107, axiom, ![A2_2]: (q1(e, A2_2, A2_2) | (~m0(A2_2, d, A2_2) | ~m0(e, d, A2_2)))).
% 33.92/4.72 fof(rule_117, axiom, q1(d, d, d) | (~k0(e) | ~s0(d))).
% 33.92/4.72 fof(rule_122, axiom, ![G, H]: (q1(G, G, G) | ~m0(G, H, G))).
% 33.92/4.72 fof(rule_124, axiom, ![D, E2]: (r1(D) | (~q0(D, E2) | (~s0(d) | ~q1(d, E2, d))))).
% 33.92/4.72 fof(rule_127, axiom, ![C2, D2, E2, F2]: (k2(C2, D2) | (~m1(E2, D2, C2) | (~k1(F2) | ~k2(F2, D2))))).
% 33.92/4.72 fof(rule_129, axiom, ![A, J2]: (k2(J2, J2) | ~q1(A, J2, J2))).
% 33.92/4.72 fof(rule_137, axiom, ![C2, B2, A2_2]: (n2(A2_2) | ~p1(B2, C2, A2_2))).
% 33.92/4.72 fof(rule_154, axiom, ![A2_2]: (p2(A2_2, A2_2, A2_2) | ~q1(A2_2, A2_2, A2_2))).
% 33.92/4.72 fof(rule_179, axiom, ![J2, A2_2]: (q2(J2, J2, J2) | (~k1(A2_2) | ~n1(J2, J2, A2_2)))).
% 33.92/4.72 fof(rule_194, axiom, ![F2, G2]: (k3(F2, F2, G2) | ~k2(G2, F2))).
% 33.92/4.72 fof(rule_202, axiom, ![I2, H2, J2, A3, G2]: (k3(G2, G2, H2) | (~q0(I2, H2) | (~k2(G2, J2) | ~k3(H2, A3, J2))))).
% 33.92/4.72 fof(rule_238, axiom, ![I2]: (m3(I2, I2, I2) | ~p2(I2, I2, I2))).
% 33.92/4.72 fof(rule_244, axiom, ![H2]: (p3(H2, H2, H2) | ~n2(H2))).
% 33.92/4.72 fof(rule_277, axiom, ![J2, A3, B2]: (l4(J2) | ~p3(A3, B2, J2))).
% 33.92/4.72 fof(rule_295, axiom, ![C2, D2, E2, F2, B2]: (q4(B2, C2) | (~k3(D2, D2, B2) | (~q2(E2, C2, B2) | ~m3(E2, F2, E2))))).
% 33.92/4.72 fof(rule_296, axiom, ![I2, J2, A3]: (q4(I2, I2) | (~r1(I2) | (~l4(J2) | ~q4(J2, A3))))).
% 33.92/4.72 fof(rule_302, axiom, ![I2, H2]: (l5(H2) | (~q4(I2, I2) | ~k1(H2)))).
% 33.92/4.72
% 33.92/4.72 Now clausify the problem and encode Horn clauses using encoding 3 of
% 33.92/4.72 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 33.92/4.72 We repeatedly replace C & s=t => u=v by the two clauses:
% 33.92/4.72 fresh(y, y, x1...xn) = u
% 33.92/4.72 C => fresh(s, t, x1...xn) = v
% 33.92/4.72 where fresh is a fresh function symbol and x1..xn are the free
% 33.92/4.72 variables of u and v.
% 33.92/4.72 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 33.92/4.72 input problem has no model of domain size 1).
% 33.92/4.72
% 33.92/4.72 The encoding turns the above axioms into the following unit equations and goals:
% 33.92/4.72
% 33.92/4.72 Axiom 1 (axiom_17): q0(X, d) = true.
% 33.92/4.72 Axiom 2 (axiom_1): s0(d) = true.
% 33.92/4.72 Axiom 3 (axiom_30): n0(e, e) = true.
% 33.92/4.72 Axiom 4 (axiom_34): n0(c, d) = true.
% 33.92/4.72 Axiom 5 (axiom_28): k0(e) = true.
% 33.92/4.72 Axiom 6 (rule_117): fresh285(X, X) = true.
% 33.92/4.72 Axiom 7 (axiom_19): m0(X, d, Y) = true.
% 33.92/4.72 Axiom 8 (rule_117): fresh286(X, X) = q1(d, d, d).
% 33.92/4.72 Axiom 9 (rule_124): fresh593(X, X, Y) = true.
% 33.92/4.72 Axiom 10 (rule_296): fresh461(X, X, Y) = true.
% 33.92/4.72 Axiom 11 (rule_001): fresh440(X, X, Y) = true.
% 33.92/4.72 Axiom 12 (rule_067): fresh351(X, X, Y) = true.
% 33.92/4.72 Axiom 13 (rule_107): fresh301(X, X, Y) = q1(e, Y, Y).
% 33.92/4.72 Axiom 14 (rule_107): fresh300(X, X, Y) = true.
% 33.92/4.72 Axiom 15 (rule_117): fresh286(k0(e), true) = fresh285(s0(d), true).
% 33.92/4.72 Axiom 16 (rule_122): fresh279(X, X, Y) = true.
% 33.92/4.72 Axiom 17 (rule_124): fresh276(X, X, Y) = r1(Y).
% 33.92/4.72 Axiom 18 (rule_129): fresh270(X, X, Y) = true.
% 33.92/4.72 Axiom 19 (rule_137): fresh262(X, X, Y) = true.
% 33.92/4.72 Axiom 20 (rule_154): fresh241(X, X, Y) = true.
% 33.92/4.72 Axiom 21 (rule_179): fresh202(X, X, Y) = true.
% 33.92/4.72 Axiom 22 (rule_238): fresh129(X, X, Y) = true.
% 33.92/4.72 Axiom 23 (rule_244): fresh121(X, X, Y) = true.
% 33.92/4.72 Axiom 24 (rule_277): fresh79(X, X, Y) = true.
% 33.92/4.72 Axiom 25 (rule_296): fresh50(X, X, Y) = q4(Y, Y).
% 33.92/4.72 Axiom 26 (rule_302): fresh40(X, X, Y) = l5(Y).
% 33.92/4.72 Axiom 27 (rule_302): fresh39(X, X, Y) = true.
% 33.92/4.72 Axiom 28 (rule_124): fresh592(X, X, Y, Z) = fresh593(s0(d), true, Y).
% 33.92/4.72 Axiom 29 (rule_127): fresh591(X, X, Y, Z) = true.
% 33.92/4.72 Axiom 30 (rule_202): fresh533(X, X, Y, Z) = true.
% 33.92/4.72 Axiom 31 (rule_295): fresh463(X, X, Y, Z) = true.
% 33.92/4.72 Axiom 32 (rule_296): fresh460(X, X, Y, Z) = fresh461(r1(Y), true, Y).
% 33.92/4.72 Axiom 33 (rule_001): fresh440(n0(X, Y), true, Y) = k1(Y).
% 33.92/4.72 Axiom 34 (rule_005): fresh437(X, X, Y, Z) = true.
% 33.92/4.72 Axiom 35 (rule_036): fresh394(X, X, Y, Z) = true.
% 33.92/4.72 Axiom 36 (rule_067): fresh351(q0(X, Y), true, Y) = p1(Y, Y, Y).
% 33.92/4.72 Axiom 37 (rule_179): fresh203(X, X, Y, Z) = q2(Y, Y, Y).
% 33.92/4.72 Axiom 38 (rule_194): fresh184(X, X, Y, Z) = true.
% 33.92/4.72 Axiom 39 (rule_244): fresh121(n2(X), true, X) = p3(X, X, X).
% 33.92/4.72 Axiom 40 (rule_302): fresh40(q4(X, X), true, Y) = fresh39(k1(Y), true, Y).
% 33.92/4.72 Axiom 41 (rule_296): fresh460(q4(X, Y), true, Z, X) = fresh50(l4(X), true, Z).
% 33.92/4.72 Axiom 42 (rule_107): fresh301(m0(e, d, X), true, X) = fresh300(m0(X, d, X), true, X).
% 33.92/4.72 Axiom 43 (rule_122): fresh279(m0(X, Y, X), true, X) = q1(X, X, X).
% 33.92/4.72 Axiom 44 (rule_127): fresh272(X, X, Y, Z, W) = k2(Y, Z).
% 33.92/4.72 Axiom 45 (rule_129): fresh270(q1(X, Y, Y), true, Y) = k2(Y, Y).
% 33.92/4.72 Axiom 46 (rule_137): fresh262(p1(X, Y, Z), true, Z) = n2(Z).
% 33.92/4.72 Axiom 47 (rule_154): fresh241(q1(X, X, X), true, X) = p2(X, X, X).
% 33.92/4.72 Axiom 48 (rule_194): fresh184(k2(X, Y), true, Y, X) = k3(Y, Y, X).
% 33.92/4.72 Axiom 49 (rule_202): fresh173(X, X, Y, Z, W) = k3(Y, Y, Z).
% 33.92/4.72 Axiom 50 (rule_238): fresh129(p2(X, X, X), true, X) = m3(X, X, X).
% 33.92/4.72 Axiom 51 (rule_277): fresh79(p3(X, Y, Z), true, Z) = l4(Z).
% 33.92/4.72 Axiom 52 (rule_295): fresh51(X, X, Y, Z, W) = q4(Y, Z).
% 33.92/4.72 Axiom 53 (rule_124): fresh592(q1(d, X, d), true, Y, X) = fresh276(q0(Y, X), true, Y).
% 33.92/4.72 Axiom 54 (rule_127): fresh590(X, X, Y, Z, W, V) = fresh591(k1(W), true, Y, Z).
% 33.92/4.72 Axiom 55 (rule_202): fresh532(X, X, Y, Z, W, V) = fresh533(q0(W, Z), true, Y, Z).
% 33.92/4.72 Axiom 56 (rule_295): fresh462(X, X, Y, Z, W, V) = fresh463(q2(W, Z, Y), true, Y, Z).
% 33.92/4.72 Axiom 57 (rule_005): fresh437(m0(X, X, Y), true, Y, X) = m1(Y, X, Y).
% 33.92/4.72 Axiom 58 (rule_036): fresh394(m0(b, X, Y), true, Y, X) = n1(Y, Y, X).
% 33.92/4.72 Axiom 59 (rule_179): fresh203(n1(X, X, Y), true, X, Y) = fresh202(k1(Y), true, X).
% 33.92/4.72 Axiom 60 (rule_127): fresh590(k2(X, Y), true, Z, Y, X, W) = fresh272(m1(W, Y, Z), true, Z, Y, X).
% 33.92/4.72 Axiom 61 (rule_202): fresh532(k3(X, Y, Z), true, W, X, V, Z) = fresh173(k2(W, Z), true, W, X, V).
% 33.92/4.72 Axiom 62 (rule_295): fresh462(m3(X, Y, X), true, Z, W, X, V) = fresh51(k3(V, V, Z), true, Z, W, X).
% 33.92/4.72
% 33.92/4.72 Lemma 63: k1(d) = true.
% 33.92/4.72 Proof:
% 33.92/4.72 k1(d)
% 33.92/4.72 = { by axiom 33 (rule_001) R->L }
% 33.92/4.72 fresh440(n0(c, d), true, d)
% 33.92/4.72 = { by axiom 4 (axiom_34) }
% 33.92/4.72 fresh440(true, true, d)
% 33.92/4.72 = { by axiom 11 (rule_001) }
% 33.92/4.72 true
% 33.92/4.72
% 33.92/4.72 Lemma 64: k2(X, X) = true.
% 33.92/4.72 Proof:
% 33.92/4.72 k2(X, X)
% 33.92/4.72 = { by axiom 45 (rule_129) R->L }
% 33.92/4.72 fresh270(q1(e, X, X), true, X)
% 33.92/4.72 = { by axiom 13 (rule_107) R->L }
% 33.92/4.72 fresh270(fresh301(true, true, X), true, X)
% 33.92/4.72 = { by axiom 7 (axiom_19) R->L }
% 33.92/4.72 fresh270(fresh301(m0(e, d, X), true, X), true, X)
% 33.92/4.72 = { by axiom 42 (rule_107) }
% 33.92/4.72 fresh270(fresh300(m0(X, d, X), true, X), true, X)
% 33.92/4.72 = { by axiom 7 (axiom_19) }
% 33.92/4.72 fresh270(fresh300(true, true, X), true, X)
% 33.92/4.72 = { by axiom 14 (rule_107) }
% 33.92/4.72 fresh270(true, true, X)
% 33.92/4.72 = { by axiom 18 (rule_129) }
% 33.92/4.72 true
% 33.92/4.72
% 33.92/4.72 Goal 1 (prove_this): l5(e) = true.
% 33.92/4.72 Proof:
% 33.92/4.72 l5(e)
% 33.92/4.72 = { by axiom 26 (rule_302) R->L }
% 33.92/4.72 fresh40(true, true, e)
% 33.92/4.72 = { by axiom 10 (rule_296) R->L }
% 33.92/4.72 fresh40(fresh461(true, true, X), true, e)
% 33.92/4.72 = { by axiom 9 (rule_124) R->L }
% 33.92/4.72 fresh40(fresh461(fresh593(true, true, X), true, X), true, e)
% 33.92/4.72 = { by axiom 2 (axiom_1) R->L }
% 33.92/4.72 fresh40(fresh461(fresh593(s0(d), true, X), true, X), true, e)
% 33.92/4.72 = { by axiom 28 (rule_124) R->L }
% 33.92/4.72 fresh40(fresh461(fresh592(true, true, X, d), true, X), true, e)
% 33.92/4.72 = { by axiom 6 (rule_117) R->L }
% 33.92/4.72 fresh40(fresh461(fresh592(fresh285(true, true), true, X, d), true, X), true, e)
% 33.92/4.72 = { by axiom 2 (axiom_1) R->L }
% 33.92/4.72 fresh40(fresh461(fresh592(fresh285(s0(d), true), true, X, d), true, X), true, e)
% 33.92/4.72 = { by axiom 15 (rule_117) R->L }
% 33.92/4.72 fresh40(fresh461(fresh592(fresh286(k0(e), true), true, X, d), true, X), true, e)
% 33.92/4.72 = { by axiom 5 (axiom_28) }
% 33.92/4.72 fresh40(fresh461(fresh592(fresh286(true, true), true, X, d), true, X), true, e)
% 33.92/4.72 = { by axiom 8 (rule_117) }
% 33.92/4.72 fresh40(fresh461(fresh592(q1(d, d, d), true, X, d), true, X), true, e)
% 33.92/4.72 = { by axiom 53 (rule_124) }
% 33.92/4.72 fresh40(fresh461(fresh276(q0(X, d), true, X), true, X), true, e)
% 33.92/4.72 = { by axiom 1 (axiom_17) }
% 33.92/4.72 fresh40(fresh461(fresh276(true, true, X), true, X), true, e)
% 33.92/4.72 = { by axiom 17 (rule_124) }
% 33.92/4.72 fresh40(fresh461(r1(X), true, X), true, e)
% 33.92/4.72 = { by axiom 32 (rule_296) R->L }
% 33.92/4.72 fresh40(fresh460(true, true, X, d), true, e)
% 33.92/4.72 = { by axiom 31 (rule_295) R->L }
% 33.92/4.72 fresh40(fresh460(fresh463(true, true, d, d), true, X, d), true, e)
% 33.92/4.72 = { by axiom 21 (rule_179) R->L }
% 33.92/4.72 fresh40(fresh460(fresh463(fresh202(true, true, d), true, d, d), true, X, d), true, e)
% 33.92/4.72 = { by lemma 63 R->L }
% 33.92/4.72 fresh40(fresh460(fresh463(fresh202(k1(d), true, d), true, d, d), true, X, d), true, e)
% 33.92/4.72 = { by axiom 59 (rule_179) R->L }
% 33.92/4.72 fresh40(fresh460(fresh463(fresh203(n1(d, d, d), true, d, d), true, d, d), true, X, d), true, e)
% 33.92/4.72 = { by axiom 58 (rule_036) R->L }
% 33.92/4.72 fresh40(fresh460(fresh463(fresh203(fresh394(m0(b, d, d), true, d, d), true, d, d), true, d, d), true, X, d), true, e)
% 33.92/4.72 = { by axiom 7 (axiom_19) }
% 33.92/4.73 fresh40(fresh460(fresh463(fresh203(fresh394(true, true, d, d), true, d, d), true, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 35 (rule_036) }
% 33.92/4.73 fresh40(fresh460(fresh463(fresh203(true, true, d, d), true, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 37 (rule_179) }
% 33.92/4.73 fresh40(fresh460(fresh463(q2(d, d, d), true, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 56 (rule_295) R->L }
% 33.92/4.73 fresh40(fresh460(fresh462(true, true, d, d, d, Y), true, X, d), true, e)
% 33.92/4.73 = { by axiom 22 (rule_238) R->L }
% 33.92/4.73 fresh40(fresh460(fresh462(fresh129(true, true, d), true, d, d, d, Y), true, X, d), true, e)
% 33.92/4.73 = { by axiom 20 (rule_154) R->L }
% 33.92/4.73 fresh40(fresh460(fresh462(fresh129(fresh241(true, true, d), true, d), true, d, d, d, Y), true, X, d), true, e)
% 33.92/4.73 = { by axiom 16 (rule_122) R->L }
% 33.92/4.73 fresh40(fresh460(fresh462(fresh129(fresh241(fresh279(true, true, d), true, d), true, d), true, d, d, d, Y), true, X, d), true, e)
% 33.92/4.73 = { by axiom 7 (axiom_19) R->L }
% 33.92/4.73 fresh40(fresh460(fresh462(fresh129(fresh241(fresh279(m0(d, d, d), true, d), true, d), true, d), true, d, d, d, Y), true, X, d), true, e)
% 33.92/4.73 = { by axiom 43 (rule_122) }
% 33.92/4.73 fresh40(fresh460(fresh462(fresh129(fresh241(q1(d, d, d), true, d), true, d), true, d, d, d, Y), true, X, d), true, e)
% 33.92/4.73 = { by axiom 47 (rule_154) }
% 33.92/4.73 fresh40(fresh460(fresh462(fresh129(p2(d, d, d), true, d), true, d, d, d, Y), true, X, d), true, e)
% 33.92/4.73 = { by axiom 50 (rule_238) }
% 33.92/4.73 fresh40(fresh460(fresh462(m3(d, d, d), true, d, d, d, Y), true, X, d), true, e)
% 33.92/4.73 = { by axiom 62 (rule_295) }
% 33.92/4.73 fresh40(fresh460(fresh51(k3(Y, Y, d), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 49 (rule_202) R->L }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh173(true, true, Y, d, Z), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by lemma 64 R->L }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh173(k2(Y, Y), true, Y, d, Z), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 61 (rule_202) R->L }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(k3(d, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 48 (rule_194) R->L }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(fresh184(k2(Y, d), true, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 44 (rule_127) R->L }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(fresh184(fresh272(true, true, Y, d, d), true, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 34 (rule_005) R->L }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(fresh184(fresh272(fresh437(true, true, Y, d), true, Y, d, d), true, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 7 (axiom_19) R->L }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(fresh184(fresh272(fresh437(m0(d, d, Y), true, Y, d), true, Y, d, d), true, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 57 (rule_005) }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(fresh184(fresh272(m1(Y, d, Y), true, Y, d, d), true, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 60 (rule_127) R->L }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(fresh184(fresh590(k2(d, d), true, Y, d, d, Y), true, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by lemma 64 }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(fresh184(fresh590(true, true, Y, d, d, Y), true, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 54 (rule_127) }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(fresh184(fresh591(k1(d), true, Y, d), true, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by lemma 63 }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(fresh184(fresh591(true, true, Y, d), true, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 29 (rule_127) }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(fresh184(true, true, d, Y), true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 38 (rule_194) }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh532(true, true, Y, d, Z, Y), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 55 (rule_202) }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh533(q0(Z, d), true, Y, d), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 1 (axiom_17) }
% 33.92/4.73 fresh40(fresh460(fresh51(fresh533(true, true, Y, d), true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 30 (rule_202) }
% 33.92/4.73 fresh40(fresh460(fresh51(true, true, d, d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 52 (rule_295) }
% 33.92/4.73 fresh40(fresh460(q4(d, d), true, X, d), true, e)
% 33.92/4.73 = { by axiom 41 (rule_296) }
% 33.92/4.73 fresh40(fresh50(l4(d), true, X), true, e)
% 33.92/4.73 = { by axiom 51 (rule_277) R->L }
% 33.92/4.73 fresh40(fresh50(fresh79(p3(d, d, d), true, d), true, X), true, e)
% 33.92/4.73 = { by axiom 39 (rule_244) R->L }
% 33.92/4.73 fresh40(fresh50(fresh79(fresh121(n2(d), true, d), true, d), true, X), true, e)
% 33.92/4.73 = { by axiom 46 (rule_137) R->L }
% 33.92/4.73 fresh40(fresh50(fresh79(fresh121(fresh262(p1(d, d, d), true, d), true, d), true, d), true, X), true, e)
% 33.92/4.73 = { by axiom 36 (rule_067) R->L }
% 33.92/4.73 fresh40(fresh50(fresh79(fresh121(fresh262(fresh351(q0(W, d), true, d), true, d), true, d), true, d), true, X), true, e)
% 33.92/4.73 = { by axiom 1 (axiom_17) }
% 33.92/4.73 fresh40(fresh50(fresh79(fresh121(fresh262(fresh351(true, true, d), true, d), true, d), true, d), true, X), true, e)
% 33.92/4.73 = { by axiom 12 (rule_067) }
% 33.92/4.73 fresh40(fresh50(fresh79(fresh121(fresh262(true, true, d), true, d), true, d), true, X), true, e)
% 33.92/4.73 = { by axiom 19 (rule_137) }
% 33.92/4.73 fresh40(fresh50(fresh79(fresh121(true, true, d), true, d), true, X), true, e)
% 33.92/4.73 = { by axiom 23 (rule_244) }
% 33.92/4.73 fresh40(fresh50(fresh79(true, true, d), true, X), true, e)
% 33.92/4.73 = { by axiom 24 (rule_277) }
% 33.92/4.73 fresh40(fresh50(true, true, X), true, e)
% 33.92/4.73 = { by axiom 25 (rule_296) }
% 33.92/4.73 fresh40(q4(X, X), true, e)
% 33.92/4.73 = { by axiom 40 (rule_302) }
% 33.92/4.73 fresh39(k1(e), true, e)
% 33.92/4.73 = { by axiom 33 (rule_001) R->L }
% 33.92/4.73 fresh39(fresh440(n0(e, e), true, e), true, e)
% 33.92/4.73 = { by axiom 3 (axiom_30) }
% 33.92/4.73 fresh39(fresh440(true, true, e), true, e)
% 33.92/4.73 = { by axiom 11 (rule_001) }
% 33.92/4.73 fresh39(true, true, e)
% 33.92/4.73 = { by axiom 27 (rule_302) }
% 33.92/4.73 true
% 33.92/4.73 % SZS output end Proof
% 33.92/4.73
% 33.92/4.73 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------