TSTP Solution File: SYN115-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN115-1 : 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 : n016.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 03:33:13 EDT 2023
% Result : Unsatisfiable 25.16s 3.63s
% Output : Proof 25.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN115-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % 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 : n016.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 18:26:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 25.16/3.63 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 25.16/3.63
% 25.16/3.63 % SZS status Unsatisfiable
% 25.16/3.63
% 25.16/3.68 % SZS output start Proof
% 25.16/3.68 Take the following subset of the input axioms:
% 25.16/3.69 fof(axiom_1, axiom, s0(d)).
% 25.16/3.69 fof(axiom_11, axiom, n0(e, b)).
% 25.16/3.69 fof(axiom_13, axiom, r0(e)).
% 25.16/3.69 fof(axiom_14, axiom, ![X]: p0(b, X)).
% 25.16/3.69 fof(axiom_17, axiom, ![X2]: q0(X2, d)).
% 25.16/3.69 fof(axiom_19, axiom, ![Y, X2]: m0(X2, d, Y)).
% 25.16/3.69 fof(axiom_28, axiom, k0(e)).
% 25.16/3.69 fof(axiom_31, axiom, m0(b, b, e)).
% 25.16/3.69 fof(axiom_34, axiom, n0(c, d)).
% 25.16/3.69 fof(prove_this, negated_conjecture, ~k4(c)).
% 25.16/3.69 fof(rule_001, axiom, ![I, J]: (k1(I) | ~n0(J, I))).
% 25.16/3.69 fof(rule_036, axiom, ![B, A2]: (n1(A2, A2, B) | ~m0(b, B, A2))).
% 25.16/3.69 fof(rule_040, axiom, ![C, D]: (n1(C, e, e) | (~m0(C, D, e) | ~k1(C)))).
% 25.16/3.69 fof(rule_085, axiom, ![C2, B2]: (p1(B2, B2, B2) | ~p0(C2, B2))).
% 25.16/3.69 fof(rule_090, axiom, p1(e, e, e) | (~r0(e) | ~k0(e))).
% 25.16/3.69 fof(rule_107, axiom, ![A2_2]: (q1(e, A2_2, A2_2) | (~m0(A2_2, d, A2_2) | ~m0(e, d, A2_2)))).
% 25.16/3.69 fof(rule_117, axiom, q1(d, d, d) | (~k0(e) | ~s0(d))).
% 25.16/3.69 fof(rule_124, axiom, ![E, D2]: (r1(D2) | (~q0(D2, E) | (~s0(d) | ~q1(d, E, d))))).
% 25.16/3.69 fof(rule_125, axiom, ![I2]: (s1(I2) | ~p0(I2, I2))).
% 25.16/3.69 fof(rule_154, axiom, ![A2_2]: (p2(A2_2, A2_2, A2_2) | ~q1(A2_2, A2_2, A2_2))).
% 25.16/3.69 fof(rule_177, axiom, ![F, E2]: (q2(E2, F, F) | (~k0(F) | ~p1(E2, E2, E2)))).
% 25.16/3.69 fof(rule_181, axiom, ![I2]: (q2(I2, I2, I2) | ~p1(I2, I2, I2))).
% 25.16/3.69 fof(rule_182, axiom, ![G, H, F2]: (q2(F2, G, F2) | (~p1(F2, F2, H) | (~n1(G, F2, H) | ~q2(G, H, F2))))).
% 25.16/3.69 fof(rule_187, axiom, ![C2, D2, E2, F2]: (q2(C2, D2, C2) | (~r1(D2) | (~m0(E2, F2, C2) | (~k0(D2) | ~q2(D2, D2, D2)))))).
% 25.16/3.69 fof(rule_189, axiom, ![H2]: (s2(H2) | (~q2(b, H2, b) | ~s1(b)))).
% 25.16/3.69 fof(rule_240, axiom, ![D2, E2, F2]: (n3(D2) | ~p2(E2, F2, D2))).
% 25.16/3.69 fof(rule_255, axiom, ![I2, G2, H2]: (q3(G2, H2) | (~q2(I2, G2, H2) | ~n0(I2, G2)))).
% 25.16/3.69 fof(rule_257, axiom, ![C2, D2, B2]: (q3(B2, C2) | (~n1(D2, B2, C2) | (~s2(B2) | ~q3(C2, B2))))).
% 25.16/3.69 fof(rule_274, axiom, k4(c) | (~n0(c, d) | (~q3(e, b) | ~n3(e)))).
% 25.16/3.69
% 25.16/3.69 Now clausify the problem and encode Horn clauses using encoding 3 of
% 25.16/3.69 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 25.16/3.69 We repeatedly replace C & s=t => u=v by the two clauses:
% 25.16/3.69 fresh(y, y, x1...xn) = u
% 25.16/3.69 C => fresh(s, t, x1...xn) = v
% 25.16/3.69 where fresh is a fresh function symbol and x1..xn are the free
% 25.16/3.69 variables of u and v.
% 25.16/3.69 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 25.16/3.69 input problem has no model of domain size 1).
% 25.16/3.69
% 25.16/3.69 The encoding turns the above axioms into the following unit equations and goals:
% 25.16/3.69
% 25.16/3.69 Axiom 1 (axiom_14): p0(b, X) = true.
% 25.16/3.69 Axiom 2 (axiom_17): q0(X, d) = true.
% 25.16/3.69 Axiom 3 (axiom_13): r0(e) = true.
% 25.16/3.69 Axiom 4 (axiom_1): s0(d) = true.
% 25.16/3.69 Axiom 5 (axiom_11): n0(e, b) = true.
% 25.16/3.69 Axiom 6 (axiom_34): n0(c, d) = true.
% 25.16/3.69 Axiom 7 (axiom_28): k0(e) = true.
% 25.16/3.69 Axiom 8 (rule_274): fresh473(X, X) = k4(c).
% 25.16/3.69 Axiom 9 (rule_090): fresh320(X, X) = true.
% 25.16/3.69 Axiom 10 (rule_117): fresh285(X, X) = true.
% 25.16/3.69 Axiom 11 (rule_274): fresh81(X, X) = true.
% 25.16/3.69 Axiom 12 (axiom_19): m0(X, d, Y) = true.
% 25.16/3.69 Axiom 13 (axiom_31): m0(b, b, e) = true.
% 25.16/3.69 Axiom 14 (rule_117): fresh286(X, X) = q1(d, d, d).
% 25.16/3.69 Axiom 15 (rule_090): fresh321(X, X) = p1(e, e, e).
% 25.16/3.69 Axiom 16 (rule_124): fresh593(X, X, Y) = true.
% 25.16/3.69 Axiom 17 (rule_274): fresh472(X, X) = fresh473(n3(e), true).
% 25.16/3.69 Axiom 18 (rule_001): fresh440(X, X, Y) = true.
% 25.16/3.69 Axiom 19 (rule_040): fresh388(X, X, Y) = true.
% 25.16/3.69 Axiom 20 (rule_085): fresh328(X, X, Y) = true.
% 25.16/3.69 Axiom 21 (rule_090): fresh321(k0(e), true) = fresh320(r0(e), true).
% 25.16/3.69 Axiom 22 (rule_107): fresh301(X, X, Y) = q1(e, Y, Y).
% 25.16/3.69 Axiom 23 (rule_107): fresh300(X, X, Y) = true.
% 25.16/3.69 Axiom 24 (rule_117): fresh286(k0(e), true) = fresh285(s0(d), true).
% 25.16/3.69 Axiom 25 (rule_124): fresh276(X, X, Y) = r1(Y).
% 25.16/3.69 Axiom 26 (rule_125): fresh275(X, X, Y) = true.
% 25.16/3.69 Axiom 27 (rule_154): fresh241(X, X, Y) = true.
% 25.16/3.69 Axiom 28 (rule_181): fresh200(X, X, Y) = true.
% 25.16/3.69 Axiom 29 (rule_189): fresh192(X, X, Y) = s2(Y).
% 25.16/3.69 Axiom 30 (rule_189): fresh191(X, X, Y) = true.
% 25.16/3.69 Axiom 31 (rule_240): fresh127(X, X, Y) = true.
% 25.16/3.69 Axiom 32 (rule_274): fresh472(q3(e, b), true) = fresh81(n0(c, d), true).
% 25.16/3.69 Axiom 33 (rule_124): fresh592(X, X, Y, Z) = fresh593(s0(d), true, Y).
% 25.16/3.69 Axiom 34 (rule_182): fresh551(X, X, Y, Z) = true.
% 25.16/3.69 Axiom 35 (rule_187): fresh545(X, X, Y, Z) = true.
% 25.16/3.69 Axiom 36 (rule_001): fresh440(n0(X, Y), true, Y) = k1(Y).
% 25.16/3.69 Axiom 37 (rule_036): fresh394(X, X, Y, Z) = true.
% 25.16/3.69 Axiom 38 (rule_040): fresh389(X, X, Y, Z) = n1(Y, e, e).
% 25.16/3.69 Axiom 39 (rule_085): fresh328(p0(X, Y), true, Y) = p1(Y, Y, Y).
% 25.16/3.69 Axiom 40 (rule_125): fresh275(p0(X, X), true, X) = s1(X).
% 25.16/3.69 Axiom 41 (rule_177): fresh207(X, X, Y, Z) = q2(Y, Z, Z).
% 25.16/3.69 Axiom 42 (rule_177): fresh206(X, X, Y, Z) = true.
% 25.16/3.69 Axiom 43 (rule_255): fresh103(X, X, Y, Z) = true.
% 25.16/3.69 Axiom 44 (rule_257): fresh100(X, X, Y, Z) = true.
% 25.16/3.69 Axiom 45 (rule_257): fresh496(X, X, Y, Z, W) = q3(Y, Z).
% 25.16/3.69 Axiom 46 (rule_040): fresh389(k1(X), true, X, Y) = fresh388(m0(X, Y, e), true, X).
% 25.16/3.69 Axiom 47 (rule_107): fresh301(m0(e, d, X), true, X) = fresh300(m0(X, d, X), true, X).
% 25.16/3.69 Axiom 48 (rule_154): fresh241(q1(X, X, X), true, X) = p2(X, X, X).
% 25.16/3.69 Axiom 49 (rule_181): fresh200(p1(X, X, X), true, X) = q2(X, X, X).
% 25.16/3.69 Axiom 50 (rule_182): fresh199(X, X, Y, Z, W) = q2(Y, Z, Y).
% 25.16/3.69 Axiom 51 (rule_189): fresh192(q2(b, X, b), true, X) = fresh191(s1(b), true, X).
% 25.16/3.69 Axiom 52 (rule_240): fresh127(p2(X, Y, Z), true, Z) = n3(Z).
% 25.16/3.69 Axiom 53 (rule_255): fresh104(X, X, Y, Z, W) = q3(Y, Z).
% 25.16/3.69 Axiom 54 (rule_124): fresh592(q1(d, X, d), true, Y, X) = fresh276(q0(Y, X), true, Y).
% 25.16/3.69 Axiom 55 (rule_182): fresh550(X, X, Y, Z, W) = fresh551(n1(Z, Y, W), true, Y, Z).
% 25.16/3.69 Axiom 56 (rule_187): fresh544(X, X, Y, Z, W, V) = fresh545(m0(W, V, Y), true, Y, Z).
% 25.16/3.69 Axiom 57 (rule_187): fresh543(X, X, Y, Z, W, V) = q2(Y, Z, Y).
% 25.16/3.69 Axiom 58 (rule_257): fresh495(X, X, Y, Z, W) = fresh496(s2(Y), true, Y, Z, W).
% 25.16/3.69 Axiom 59 (rule_036): fresh394(m0(b, X, Y), true, Y, X) = n1(Y, Y, X).
% 25.16/3.69 Axiom 60 (rule_177): fresh207(p1(X, X, X), true, X, Y) = fresh206(k0(Y), true, X, Y).
% 25.16/3.69 Axiom 61 (rule_257): fresh495(q3(X, Y), true, Y, X, Z) = fresh100(n1(Z, Y, X), true, Y, X).
% 25.16/3.69 Axiom 62 (rule_187): fresh542(X, X, Y, Z, W, V) = fresh543(k0(Z), true, Y, Z, W, V).
% 25.16/3.69 Axiom 63 (rule_182): fresh550(q2(X, Y, Z), true, Z, X, Y) = fresh199(p1(Z, Z, Y), true, Z, X, Y).
% 25.16/3.69 Axiom 64 (rule_255): fresh104(q2(X, Y, Z), true, Y, Z, X) = fresh103(n0(X, Y), true, Y, Z).
% 25.16/3.69 Axiom 65 (rule_187): fresh542(q2(X, X, X), true, Y, X, Z, W) = fresh544(r1(X), true, Y, X, Z, W).
% 25.16/3.69
% 25.16/3.69 Lemma 66: p1(X, X, X) = true.
% 25.16/3.69 Proof:
% 25.16/3.69 p1(X, X, X)
% 25.16/3.69 = { by axiom 39 (rule_085) R->L }
% 25.16/3.69 fresh328(p0(b, X), true, X)
% 25.16/3.69 = { by axiom 1 (axiom_14) }
% 25.16/3.69 fresh328(true, true, X)
% 25.16/3.69 = { by axiom 20 (rule_085) }
% 25.16/3.69 true
% 25.16/3.69
% 25.16/3.69 Goal 1 (prove_this): k4(c) = true.
% 25.16/3.69 Proof:
% 25.16/3.69 k4(c)
% 25.16/3.69 = { by axiom 8 (rule_274) R->L }
% 25.16/3.69 fresh473(true, true)
% 25.16/3.69 = { by axiom 31 (rule_240) R->L }
% 25.16/3.69 fresh473(fresh127(true, true, e), true)
% 25.16/3.69 = { by axiom 27 (rule_154) R->L }
% 25.16/3.69 fresh473(fresh127(fresh241(true, true, e), true, e), true)
% 25.16/3.69 = { by axiom 23 (rule_107) R->L }
% 25.16/3.69 fresh473(fresh127(fresh241(fresh300(true, true, e), true, e), true, e), true)
% 25.16/3.69 = { by axiom 12 (axiom_19) R->L }
% 25.16/3.69 fresh473(fresh127(fresh241(fresh300(m0(e, d, e), true, e), true, e), true, e), true)
% 25.16/3.69 = { by axiom 47 (rule_107) R->L }
% 25.16/3.69 fresh473(fresh127(fresh241(fresh301(m0(e, d, e), true, e), true, e), true, e), true)
% 25.16/3.69 = { by axiom 12 (axiom_19) }
% 25.16/3.69 fresh473(fresh127(fresh241(fresh301(true, true, e), true, e), true, e), true)
% 25.16/3.69 = { by axiom 22 (rule_107) }
% 25.16/3.69 fresh473(fresh127(fresh241(q1(e, e, e), true, e), true, e), true)
% 25.16/3.69 = { by axiom 48 (rule_154) }
% 25.16/3.69 fresh473(fresh127(p2(e, e, e), true, e), true)
% 25.16/3.69 = { by axiom 52 (rule_240) }
% 25.16/3.69 fresh473(n3(e), true)
% 25.16/3.69 = { by axiom 17 (rule_274) R->L }
% 25.16/3.69 fresh472(true, true)
% 25.16/3.69 = { by axiom 44 (rule_257) R->L }
% 25.16/3.69 fresh472(fresh100(true, true, e, b), true)
% 25.16/3.69 = { by axiom 37 (rule_036) R->L }
% 25.16/3.69 fresh472(fresh100(fresh394(true, true, e, b), true, e, b), true)
% 25.16/3.69 = { by axiom 13 (axiom_31) R->L }
% 25.16/3.69 fresh472(fresh100(fresh394(m0(b, b, e), true, e, b), true, e, b), true)
% 25.16/3.69 = { by axiom 59 (rule_036) }
% 25.16/3.69 fresh472(fresh100(n1(e, e, b), true, e, b), true)
% 25.16/3.69 = { by axiom 61 (rule_257) R->L }
% 25.16/3.69 fresh472(fresh495(q3(b, e), true, e, b, e), true)
% 25.16/3.69 = { by axiom 53 (rule_255) R->L }
% 25.16/3.69 fresh472(fresh495(fresh104(true, true, b, e, e), true, e, b, e), true)
% 25.16/3.69 = { by axiom 34 (rule_182) R->L }
% 25.16/3.69 fresh472(fresh495(fresh104(fresh551(true, true, e, b), true, b, e, e), true, e, b, e), true)
% 25.16/3.69 = { by axiom 19 (rule_040) R->L }
% 25.16/3.69 fresh472(fresh495(fresh104(fresh551(fresh388(true, true, b), true, e, b), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 12 (axiom_19) R->L }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh551(fresh388(m0(b, d, e), true, b), true, e, b), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 46 (rule_040) R->L }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh551(fresh389(k1(b), true, b, d), true, e, b), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 36 (rule_001) R->L }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh551(fresh389(fresh440(n0(e, b), true, b), true, b, d), true, e, b), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 5 (axiom_11) }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh551(fresh389(fresh440(true, true, b), true, b, d), true, e, b), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 18 (rule_001) }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh551(fresh389(true, true, b, d), true, e, b), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 38 (rule_040) }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh551(n1(b, e, e), true, e, b), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 55 (rule_182) R->L }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh550(true, true, e, b, e), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 42 (rule_177) R->L }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh550(fresh206(true, true, b, e), true, e, b, e), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 7 (axiom_28) R->L }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh550(fresh206(k0(e), true, b, e), true, e, b, e), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 60 (rule_177) R->L }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh550(fresh207(p1(b, b, b), true, b, e), true, e, b, e), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by lemma 66 }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh550(fresh207(true, true, b, e), true, e, b, e), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 41 (rule_177) }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh550(q2(b, e, e), true, e, b, e), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 63 (rule_182) }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh199(p1(e, e, e), true, e, b, e), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by lemma 66 }
% 25.16/3.70 fresh472(fresh495(fresh104(fresh199(true, true, e, b, e), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 50 (rule_182) }
% 25.16/3.70 fresh472(fresh495(fresh104(q2(e, b, e), true, b, e, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 64 (rule_255) }
% 25.16/3.70 fresh472(fresh495(fresh103(n0(e, b), true, b, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 5 (axiom_11) }
% 25.16/3.70 fresh472(fresh495(fresh103(true, true, b, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 43 (rule_255) }
% 25.16/3.70 fresh472(fresh495(true, true, e, b, e), true)
% 25.16/3.70 = { by axiom 58 (rule_257) }
% 25.16/3.70 fresh472(fresh496(s2(e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 29 (rule_189) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(true, true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 35 (rule_187) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh545(true, true, b, e), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 12 (axiom_19) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh545(m0(X, d, b), true, b, e), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 56 (rule_187) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(true, true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 16 (rule_124) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(fresh593(true, true, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 4 (axiom_1) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(fresh593(s0(d), true, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 33 (rule_124) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(fresh592(true, true, e, d), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 10 (rule_117) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(fresh592(fresh285(true, true), true, e, d), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 4 (axiom_1) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(fresh592(fresh285(s0(d), true), true, e, d), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 24 (rule_117) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(fresh592(fresh286(k0(e), true), true, e, d), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 7 (axiom_28) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(fresh592(fresh286(true, true), true, e, d), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 14 (rule_117) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(fresh592(q1(d, d, d), true, e, d), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 54 (rule_124) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(fresh276(q0(e, d), true, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 2 (axiom_17) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(fresh276(true, true, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 25 (rule_124) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh544(r1(e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 65 (rule_187) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh542(q2(e, e, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 49 (rule_181) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh542(fresh200(p1(e, e, e), true, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 15 (rule_090) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh542(fresh200(fresh321(true, true), true, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 7 (axiom_28) R->L }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh542(fresh200(fresh321(k0(e), true), true, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 21 (rule_090) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh542(fresh200(fresh320(r0(e), true), true, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 3 (axiom_13) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh542(fresh200(fresh320(true, true), true, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 9 (rule_090) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh542(fresh200(true, true, e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 28 (rule_181) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh542(true, true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 62 (rule_187) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh543(k0(e), true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 7 (axiom_28) }
% 25.16/3.70 fresh472(fresh496(fresh192(fresh543(true, true, b, e, X, d), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 57 (rule_187) }
% 25.16/3.70 fresh472(fresh496(fresh192(q2(b, e, b), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 51 (rule_189) }
% 25.16/3.70 fresh472(fresh496(fresh191(s1(b), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 40 (rule_125) R->L }
% 25.16/3.70 fresh472(fresh496(fresh191(fresh275(p0(b, b), true, b), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 1 (axiom_14) }
% 25.16/3.70 fresh472(fresh496(fresh191(fresh275(true, true, b), true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 26 (rule_125) }
% 25.16/3.70 fresh472(fresh496(fresh191(true, true, e), true, e, b, e), true)
% 25.16/3.70 = { by axiom 30 (rule_189) }
% 25.16/3.70 fresh472(fresh496(true, true, e, b, e), true)
% 25.16/3.70 = { by axiom 45 (rule_257) }
% 25.16/3.70 fresh472(q3(e, b), true)
% 25.16/3.70 = { by axiom 32 (rule_274) }
% 25.16/3.70 fresh81(n0(c, d), true)
% 25.16/3.70 = { by axiom 6 (axiom_34) }
% 25.16/3.70 fresh81(true, true)
% 25.16/3.70 = { by axiom 11 (rule_274) }
% 25.16/3.70 true
% 25.16/3.70 % SZS output end Proof
% 25.16/3.70
% 25.16/3.70 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------