TSTP Solution File: SYN269-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN269-1 : 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 : n019.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 03:33:51 EDT 2023
% Result : Unsatisfiable 48.06s 6.49s
% Output : Proof 48.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN269-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.10 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.10/0.30 % Computer : n019.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 20:46:58 EDT 2023
% 0.10/0.31 % CPUTime :
% 48.06/6.49 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 48.06/6.49
% 48.06/6.49 % SZS status Unsatisfiable
% 48.06/6.49
% 48.06/6.53 % SZS output start Proof
% 48.06/6.53 Take the following subset of the input axioms:
% 48.06/6.53 fof(axiom_1, axiom, s0(d)).
% 48.06/6.53 fof(axiom_11, axiom, n0(e, b)).
% 48.06/6.53 fof(axiom_17, axiom, ![X]: q0(X, d)).
% 48.06/6.53 fof(axiom_19, axiom, ![Y, X2]: m0(X2, d, Y)).
% 48.06/6.53 fof(axiom_20, axiom, l0(a)).
% 48.06/6.53 fof(axiom_24, axiom, l0(c)).
% 48.06/6.53 fof(axiom_28, axiom, k0(e)).
% 48.06/6.53 fof(axiom_32, axiom, k0(b)).
% 48.06/6.53 fof(axiom_9, axiom, r0(b)).
% 48.06/6.53 fof(prove_this, negated_conjecture, ~p4(b, a, a)).
% 48.06/6.53 fof(rule_001, axiom, ![I, J]: (k1(I) | ~n0(J, I))).
% 48.06/6.53 fof(rule_021, axiom, ![I2, J2]: (m1(I2, J2, I2) | (~l0(I2) | ~k0(J2)))).
% 48.06/6.53 fof(rule_107, axiom, ![A2]: (q1(e, A2, A2) | (~m0(A2, d, A2) | ~m0(e, d, A2)))).
% 48.06/6.53 fof(rule_117, axiom, q1(d, d, d) | (~k0(e) | ~s0(d))).
% 48.06/6.53 fof(rule_120, axiom, q1(b, b, b) | ~r0(b)).
% 48.06/6.53 fof(rule_124, axiom, ![D, E]: (r1(D) | (~q0(D, E) | (~s0(d) | ~q1(d, E, d))))).
% 48.06/6.53 fof(rule_127, axiom, ![C, F, D2, E2]: (k2(C, D2) | (~m1(E2, D2, C) | (~k1(F) | ~k2(F, D2))))).
% 48.06/6.53 fof(rule_129, axiom, ![A, J2]: (k2(J2, J2) | ~q1(A, J2, J2))).
% 48.06/6.53 fof(rule_136, axiom, m2(b) | ~k1(b)).
% 48.06/6.53 fof(rule_154, axiom, ![A2_2]: (p2(A2_2, A2_2, A2_2) | ~q1(A2_2, A2_2, A2_2))).
% 48.06/6.53 fof(rule_188, axiom, ![G]: (r2(G) | (~r1(G) | ~l0(G)))).
% 48.06/6.53 fof(rule_194, axiom, ![G2, F2]: (k3(F2, F2, G2) | ~k2(G2, F2))).
% 48.06/6.53 fof(rule_231, axiom, ![H, I2]: (m3(H, I2, H) | (~r2(H) | ~k2(c, I2)))).
% 48.06/6.53 fof(rule_267, axiom, ![B, C2, D2]: (r3(B, C2, B) | ~p2(B, D2, C2))).
% 48.06/6.53 fof(rule_268, axiom, ![I2, J2, H2, A3]: (r3(H2, H2, I2) | (~m2(I2) | (~m3(J2, b, H2) | ~r3(I2, A3, A3))))).
% 48.06/6.53 fof(rule_287, axiom, ![C2, B2]: (p4(B2, C2, B2) | ~k3(B2, B2, C2))).
% 48.06/6.53 fof(rule_288, axiom, ![I2, J2, H2, A3]: (p4(H2, I2, I2) | (~r3(I2, I2, H2) | ~p4(J2, J2, A3)))).
% 48.06/6.53
% 48.06/6.53 Now clausify the problem and encode Horn clauses using encoding 3 of
% 48.06/6.53 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 48.06/6.53 We repeatedly replace C & s=t => u=v by the two clauses:
% 48.06/6.53 fresh(y, y, x1...xn) = u
% 48.06/6.53 C => fresh(s, t, x1...xn) = v
% 48.06/6.53 where fresh is a fresh function symbol and x1..xn are the free
% 48.06/6.53 variables of u and v.
% 48.06/6.53 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 48.06/6.53 input problem has no model of domain size 1).
% 48.06/6.53
% 48.06/6.53 The encoding turns the above axioms into the following unit equations and goals:
% 48.06/6.53
% 48.06/6.53 Axiom 1 (axiom_17): q0(X, d) = true.
% 48.06/6.53 Axiom 2 (axiom_9): r0(b) = true.
% 48.06/6.53 Axiom 3 (axiom_1): s0(d) = true.
% 48.06/6.53 Axiom 4 (axiom_24): l0(c) = true.
% 48.06/6.53 Axiom 5 (axiom_20): l0(a) = true.
% 48.06/6.53 Axiom 6 (axiom_11): n0(e, b) = true.
% 48.06/6.53 Axiom 7 (axiom_32): k0(b) = true.
% 48.06/6.53 Axiom 8 (axiom_28): k0(e) = true.
% 48.06/6.53 Axiom 9 (rule_117): fresh285(X, X) = true.
% 48.06/6.53 Axiom 10 (rule_120): fresh281(X, X) = true.
% 48.06/6.53 Axiom 11 (rule_136): fresh263(X, X) = true.
% 48.06/6.53 Axiom 12 (axiom_19): m0(X, d, Y) = true.
% 48.06/6.53 Axiom 13 (rule_117): fresh286(X, X) = q1(d, d, d).
% 48.06/6.53 Axiom 14 (rule_124): fresh593(X, X, Y) = true.
% 48.06/6.53 Axiom 15 (rule_001): fresh440(X, X, Y) = true.
% 48.06/6.53 Axiom 16 (rule_107): fresh301(X, X, Y) = q1(e, Y, Y).
% 48.06/6.53 Axiom 17 (rule_107): fresh300(X, X, Y) = true.
% 48.06/6.53 Axiom 18 (rule_117): fresh286(k0(e), true) = fresh285(s0(d), true).
% 48.06/6.53 Axiom 19 (rule_120): fresh281(r0(b), true) = q1(b, b, b).
% 48.06/6.53 Axiom 20 (rule_124): fresh276(X, X, Y) = r1(Y).
% 48.06/6.53 Axiom 21 (rule_129): fresh270(X, X, Y) = true.
% 48.06/6.53 Axiom 22 (rule_136): fresh263(k1(b), true) = m2(b).
% 48.06/6.54 Axiom 23 (rule_154): fresh241(X, X, Y) = true.
% 48.06/6.54 Axiom 24 (rule_188): fresh194(X, X, Y) = r2(Y).
% 48.06/6.54 Axiom 25 (rule_188): fresh193(X, X, Y) = true.
% 48.06/6.54 Axiom 26 (rule_124): fresh592(X, X, Y, Z) = fresh593(s0(d), true, Y).
% 48.06/6.54 Axiom 27 (rule_127): fresh591(X, X, Y, Z) = true.
% 48.06/6.54 Axiom 28 (rule_268): fresh485(X, X, Y, Z) = true.
% 48.06/6.54 Axiom 29 (rule_001): fresh440(n0(X, Y), true, Y) = k1(Y).
% 48.06/6.54 Axiom 30 (rule_021): fresh415(X, X, Y, Z) = m1(Y, Z, Y).
% 48.06/6.54 Axiom 31 (rule_021): fresh414(X, X, Y, Z) = true.
% 48.06/6.54 Axiom 32 (rule_188): fresh194(r1(X), true, X) = fresh193(l0(X), true, X).
% 48.06/6.54 Axiom 33 (rule_194): fresh184(X, X, Y, Z) = true.
% 48.06/6.54 Axiom 34 (rule_231): fresh142(X, X, Y, Z) = m3(Y, Z, Y).
% 48.06/6.54 Axiom 35 (rule_231): fresh141(X, X, Y, Z) = true.
% 48.06/6.54 Axiom 36 (rule_267): fresh88(X, X, Y, Z) = true.
% 48.06/6.54 Axiom 37 (rule_268): fresh87(X, X, Y, Z) = r3(Y, Y, Z).
% 48.06/6.54 Axiom 38 (rule_287): fresh62(X, X, Y, Z) = true.
% 48.06/6.54 Axiom 39 (rule_288): fresh61(X, X, Y, Z) = p4(Y, Z, Z).
% 48.06/6.54 Axiom 40 (rule_288): fresh60(X, X, Y, Z) = true.
% 48.06/6.54 Axiom 41 (rule_268): fresh484(X, X, Y, Z, W) = fresh485(m2(Z), true, Y, Z).
% 48.06/6.54 Axiom 42 (rule_021): fresh415(k0(X), true, Y, X) = fresh414(l0(Y), true, Y, X).
% 48.06/6.54 Axiom 43 (rule_107): fresh301(m0(e, d, X), true, X) = fresh300(m0(X, d, X), true, X).
% 48.06/6.54 Axiom 44 (rule_127): fresh272(X, X, Y, Z, W) = k2(Y, Z).
% 48.06/6.54 Axiom 45 (rule_129): fresh270(q1(X, Y, Y), true, Y) = k2(Y, Y).
% 48.06/6.54 Axiom 46 (rule_154): fresh241(q1(X, X, X), true, X) = p2(X, X, X).
% 48.06/6.54 Axiom 47 (rule_194): fresh184(k2(X, Y), true, Y, X) = k3(Y, Y, X).
% 48.06/6.54 Axiom 48 (rule_231): fresh142(r2(X), true, X, Y) = fresh141(k2(c, Y), true, X, Y).
% 48.06/6.54 Axiom 49 (rule_124): fresh592(q1(d, X, d), true, Y, X) = fresh276(q0(Y, X), true, Y).
% 48.06/6.54 Axiom 50 (rule_127): fresh590(X, X, Y, Z, W, V) = fresh591(k1(W), true, Y, Z).
% 48.06/6.54 Axiom 51 (rule_267): fresh88(p2(X, Y, Z), true, X, Z) = r3(X, Z, X).
% 48.06/6.54 Axiom 52 (rule_287): fresh62(k3(X, X, Y), true, X, Y) = p4(X, Y, X).
% 48.06/6.54 Axiom 53 (rule_288): fresh61(p4(X, X, Y), true, Z, W) = fresh60(r3(W, W, Z), true, Z, W).
% 48.06/6.54 Axiom 54 (rule_268): fresh484(r3(X, Y, Y), true, Z, X, W) = fresh87(m3(W, b, Z), true, Z, X).
% 48.06/6.54 Axiom 55 (rule_127): fresh590(k2(X, Y), true, Z, Y, X, W) = fresh272(m1(W, Y, Z), true, Z, Y, X).
% 48.06/6.54
% 48.06/6.54 Lemma 56: k1(b) = true.
% 48.06/6.54 Proof:
% 48.06/6.54 k1(b)
% 48.06/6.54 = { by axiom 29 (rule_001) R->L }
% 48.06/6.54 fresh440(n0(e, b), true, b)
% 48.06/6.54 = { by axiom 6 (axiom_11) }
% 48.06/6.54 fresh440(true, true, b)
% 48.06/6.54 = { by axiom 15 (rule_001) }
% 48.06/6.54 true
% 48.06/6.54
% 48.06/6.54 Lemma 57: k2(X, X) = true.
% 48.06/6.54 Proof:
% 48.06/6.54 k2(X, X)
% 48.06/6.54 = { by axiom 45 (rule_129) R->L }
% 48.06/6.54 fresh270(q1(e, X, X), true, X)
% 48.06/6.54 = { by axiom 16 (rule_107) R->L }
% 48.06/6.54 fresh270(fresh301(true, true, X), true, X)
% 48.06/6.54 = { by axiom 12 (axiom_19) R->L }
% 48.06/6.54 fresh270(fresh301(m0(e, d, X), true, X), true, X)
% 48.06/6.54 = { by axiom 43 (rule_107) }
% 48.06/6.54 fresh270(fresh300(m0(X, d, X), true, X), true, X)
% 48.06/6.54 = { by axiom 12 (axiom_19) }
% 48.06/6.54 fresh270(fresh300(true, true, X), true, X)
% 48.06/6.54 = { by axiom 17 (rule_107) }
% 48.06/6.54 fresh270(true, true, X)
% 48.06/6.54 = { by axiom 21 (rule_129) }
% 48.06/6.54 true
% 48.06/6.54
% 48.06/6.54 Goal 1 (prove_this): p4(b, a, a) = true.
% 48.06/6.54 Proof:
% 48.06/6.54 p4(b, a, a)
% 48.06/6.54 = { by axiom 39 (rule_288) R->L }
% 48.06/6.54 fresh61(true, true, b, a)
% 48.06/6.54 = { by axiom 38 (rule_287) R->L }
% 48.06/6.54 fresh61(fresh62(true, true, X, X), true, b, a)
% 48.06/6.54 = { by axiom 33 (rule_194) R->L }
% 48.06/6.54 fresh61(fresh62(fresh184(true, true, X, X), true, X, X), true, b, a)
% 48.06/6.54 = { by lemma 57 R->L }
% 48.06/6.54 fresh61(fresh62(fresh184(k2(X, X), true, X, X), true, X, X), true, b, a)
% 48.06/6.54 = { by axiom 47 (rule_194) }
% 48.06/6.54 fresh61(fresh62(k3(X, X, X), true, X, X), true, b, a)
% 48.06/6.54 = { by axiom 52 (rule_287) }
% 48.06/6.54 fresh61(p4(X, X, X), true, b, a)
% 48.06/6.54 = { by axiom 53 (rule_288) }
% 48.06/6.54 fresh60(r3(a, a, b), true, b, a)
% 48.06/6.54 = { by axiom 37 (rule_268) R->L }
% 48.06/6.54 fresh60(fresh87(true, true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 35 (rule_231) R->L }
% 48.06/6.54 fresh60(fresh87(fresh141(true, true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 27 (rule_127) R->L }
% 48.06/6.54 fresh60(fresh87(fresh141(fresh591(true, true, c, b), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by lemma 56 R->L }
% 48.06/6.54 fresh60(fresh87(fresh141(fresh591(k1(b), true, c, b), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 50 (rule_127) R->L }
% 48.06/6.54 fresh60(fresh87(fresh141(fresh590(true, true, c, b, b, c), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by lemma 57 R->L }
% 48.06/6.54 fresh60(fresh87(fresh141(fresh590(k2(b, b), true, c, b, b, c), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 55 (rule_127) }
% 48.06/6.54 fresh60(fresh87(fresh141(fresh272(m1(c, b, c), true, c, b, b), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 30 (rule_021) R->L }
% 48.06/6.54 fresh60(fresh87(fresh141(fresh272(fresh415(true, true, c, b), true, c, b, b), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 7 (axiom_32) R->L }
% 48.06/6.54 fresh60(fresh87(fresh141(fresh272(fresh415(k0(b), true, c, b), true, c, b, b), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 42 (rule_021) }
% 48.06/6.54 fresh60(fresh87(fresh141(fresh272(fresh414(l0(c), true, c, b), true, c, b, b), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 4 (axiom_24) }
% 48.06/6.54 fresh60(fresh87(fresh141(fresh272(fresh414(true, true, c, b), true, c, b, b), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 31 (rule_021) }
% 48.06/6.54 fresh60(fresh87(fresh141(fresh272(true, true, c, b, b), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 44 (rule_127) }
% 48.06/6.54 fresh60(fresh87(fresh141(k2(c, b), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 48 (rule_231) R->L }
% 48.06/6.54 fresh60(fresh87(fresh142(r2(a), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 24 (rule_188) R->L }
% 48.06/6.54 fresh60(fresh87(fresh142(fresh194(true, true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 14 (rule_124) R->L }
% 48.06/6.54 fresh60(fresh87(fresh142(fresh194(fresh593(true, true, a), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 3 (axiom_1) R->L }
% 48.06/6.54 fresh60(fresh87(fresh142(fresh194(fresh593(s0(d), true, a), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 26 (rule_124) R->L }
% 48.06/6.54 fresh60(fresh87(fresh142(fresh194(fresh592(true, true, a, d), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 9 (rule_117) R->L }
% 48.06/6.54 fresh60(fresh87(fresh142(fresh194(fresh592(fresh285(true, true), true, a, d), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 3 (axiom_1) R->L }
% 48.06/6.54 fresh60(fresh87(fresh142(fresh194(fresh592(fresh285(s0(d), true), true, a, d), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 18 (rule_117) R->L }
% 48.06/6.54 fresh60(fresh87(fresh142(fresh194(fresh592(fresh286(k0(e), true), true, a, d), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 8 (axiom_28) }
% 48.06/6.54 fresh60(fresh87(fresh142(fresh194(fresh592(fresh286(true, true), true, a, d), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.54 = { by axiom 13 (rule_117) }
% 48.06/6.54 fresh60(fresh87(fresh142(fresh194(fresh592(q1(d, d, d), true, a, d), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.55 = { by axiom 49 (rule_124) }
% 48.06/6.55 fresh60(fresh87(fresh142(fresh194(fresh276(q0(a, d), true, a), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.55 = { by axiom 1 (axiom_17) }
% 48.06/6.55 fresh60(fresh87(fresh142(fresh194(fresh276(true, true, a), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.55 = { by axiom 20 (rule_124) }
% 48.06/6.55 fresh60(fresh87(fresh142(fresh194(r1(a), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.55 = { by axiom 32 (rule_188) }
% 48.06/6.55 fresh60(fresh87(fresh142(fresh193(l0(a), true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.55 = { by axiom 5 (axiom_20) }
% 48.06/6.55 fresh60(fresh87(fresh142(fresh193(true, true, a), true, a, b), true, a, b), true, b, a)
% 48.06/6.55 = { by axiom 25 (rule_188) }
% 48.06/6.55 fresh60(fresh87(fresh142(true, true, a, b), true, a, b), true, b, a)
% 48.06/6.55 = { by axiom 34 (rule_231) }
% 48.06/6.55 fresh60(fresh87(m3(a, b, a), true, a, b), true, b, a)
% 48.06/6.55 = { by axiom 54 (rule_268) R->L }
% 48.06/6.55 fresh60(fresh484(r3(b, b, b), true, a, b, a), true, b, a)
% 48.06/6.55 = { by axiom 51 (rule_267) R->L }
% 48.06/6.55 fresh60(fresh484(fresh88(p2(b, b, b), true, b, b), true, a, b, a), true, b, a)
% 48.06/6.55 = { by axiom 46 (rule_154) R->L }
% 48.06/6.55 fresh60(fresh484(fresh88(fresh241(q1(b, b, b), true, b), true, b, b), true, a, b, a), true, b, a)
% 48.06/6.55 = { by axiom 19 (rule_120) R->L }
% 48.06/6.55 fresh60(fresh484(fresh88(fresh241(fresh281(r0(b), true), true, b), true, b, b), true, a, b, a), true, b, a)
% 48.06/6.55 = { by axiom 2 (axiom_9) }
% 48.06/6.55 fresh60(fresh484(fresh88(fresh241(fresh281(true, true), true, b), true, b, b), true, a, b, a), true, b, a)
% 48.06/6.55 = { by axiom 10 (rule_120) }
% 48.06/6.55 fresh60(fresh484(fresh88(fresh241(true, true, b), true, b, b), true, a, b, a), true, b, a)
% 48.06/6.55 = { by axiom 23 (rule_154) }
% 48.06/6.55 fresh60(fresh484(fresh88(true, true, b, b), true, a, b, a), true, b, a)
% 48.06/6.55 = { by axiom 36 (rule_267) }
% 48.06/6.55 fresh60(fresh484(true, true, a, b, a), true, b, a)
% 48.06/6.55 = { by axiom 41 (rule_268) }
% 48.61/6.55 fresh60(fresh485(m2(b), true, a, b), true, b, a)
% 48.61/6.55 = { by axiom 22 (rule_136) R->L }
% 48.61/6.55 fresh60(fresh485(fresh263(k1(b), true), true, a, b), true, b, a)
% 48.61/6.55 = { by lemma 56 }
% 48.61/6.55 fresh60(fresh485(fresh263(true, true), true, a, b), true, b, a)
% 48.61/6.55 = { by axiom 11 (rule_136) }
% 48.61/6.55 fresh60(fresh485(true, true, a, b), true, b, a)
% 48.61/6.55 = { by axiom 28 (rule_268) }
% 48.61/6.55 fresh60(true, true, b, a)
% 48.61/6.55 = { by axiom 40 (rule_288) }
% 48.61/6.55 true
% 48.61/6.55 % SZS output end Proof
% 48.61/6.55
% 48.61/6.55 RESULT: Unsatisfiable (the axioms are contradictory).
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