TSTP Solution File: SYN640-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN640-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n004.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 03:35:32 EDT 2023
% Result : Unsatisfiable 14.11s 2.20s
% Output : Proof 14.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN640-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 19:05:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 14.11/2.20 Command-line arguments: --flatten
% 14.11/2.20
% 14.11/2.20 % SZS status Unsatisfiable
% 14.11/2.20
% 14.11/2.24 % SZS output start Proof
% 14.11/2.24 Take the following subset of the input axioms:
% 14.11/2.24 fof(c22_is_p18_1, negated_conjecture, p18(c22)).
% 14.11/2.24 fof(not_p20_7, negated_conjecture, ~p20(f17(c25), f17(c22))).
% 14.11/2.24 fof(p10_42, negated_conjecture, p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25)).
% 14.11/2.24 fof(p19_12, negated_conjecture, p19(f13(f11(c23)), f13(f11(c22)))).
% 14.11/2.24 fof(p19_28, negated_conjecture, ![X12, X13, X14, X15]: (p19(X12, X13) | (~p2(X14, X12) | (~p2(X15, X13) | ~p19(X14, X15))))).
% 14.11/2.24 fof(p20_35, negated_conjecture, ![X35, X36]: (p20(f17(X35), f17(X36)) | (~p2(f12(f11(X36)), f7(c24)) | (~p2(f12(f11(X35)), f7(c24)) | ~p19(f13(f11(X35)), f13(f11(X36))))))).
% 14.11/2.24 fof(p2_10, negated_conjecture, p2(f12(f11(c22)), f7(c24))).
% 14.11/2.24 fof(p2_26, negated_conjecture, ![X16, X17, X18]: (p2(X17, X18) | (~p2(X16, X17) | ~p2(X16, X18)))).
% 14.11/2.24 fof(p2_33, negated_conjecture, p2(f13(f11(c23)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))).
% 14.11/2.24 fof(p2_34, negated_conjecture, p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))).
% 14.11/2.24 fof(p2_5, negated_conjecture, ![X16_2]: p2(X16_2, X16_2)).
% 14.11/2.24 fof(p2_9, negated_conjecture, p2(f12(f11(c25)), f7(c24))).
% 14.11/2.24
% 14.11/2.24 Now clausify the problem and encode Horn clauses using encoding 3 of
% 14.11/2.24 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 14.11/2.24 We repeatedly replace C & s=t => u=v by the two clauses:
% 14.11/2.24 fresh(y, y, x1...xn) = u
% 14.11/2.24 C => fresh(s, t, x1...xn) = v
% 14.11/2.24 where fresh is a fresh function symbol and x1..xn are the free
% 14.11/2.24 variables of u and v.
% 14.11/2.24 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 14.11/2.24 input problem has no model of domain size 1).
% 14.11/2.24
% 14.11/2.24 The encoding turns the above axioms into the following unit equations and goals:
% 14.11/2.24
% 14.11/2.24 Axiom 1 (c22_is_p18_1): p18(c22) = true.
% 14.11/2.24 Axiom 2 (p2_5): p2(X, X) = true.
% 14.11/2.24 Axiom 3 (p19_28): fresh41(X, X, Y, Z) = true.
% 14.11/2.24 Axiom 4 (p20_35): fresh35(X, X, Y, Z) = true.
% 14.11/2.24 Axiom 5 (p2_26): fresh10(X, X, Y, Z) = true.
% 14.11/2.24 Axiom 6 (p20_35): fresh19(X, X, Y, Z) = p20(f17(Y), f17(Z)).
% 14.11/2.24 Axiom 7 (p19_28): fresh21(X, X, Y, Z, W) = p19(Y, Z).
% 14.11/2.24 Axiom 8 (p2_26): fresh11(X, X, Y, Z, W) = p2(Y, Z).
% 14.11/2.24 Axiom 9 (p2_10): p2(f12(f11(c22)), f7(c24)) = true.
% 14.11/2.24 Axiom 10 (p2_9): p2(f12(f11(c25)), f7(c24)) = true.
% 14.11/2.24 Axiom 11 (p19_28): fresh40(X, X, Y, Z, W, V) = fresh41(p2(W, Y), true, Y, Z).
% 14.11/2.24 Axiom 12 (p19_12): p19(f13(f11(c23)), f13(f11(c22))) = true.
% 14.11/2.24 Axiom 13 (p2_26): fresh11(p2(X, Y), true, Z, Y, X) = fresh10(p2(X, Z), true, Z, Y).
% 14.11/2.24 Axiom 14 (p19_28): fresh40(p19(X, Y), true, Z, W, X, Y) = fresh21(p2(Y, W), true, Z, W, X).
% 14.11/2.24 Axiom 15 (p20_35): fresh34(X, X, Y, Z) = fresh35(p2(f12(f11(Y)), f7(c24)), true, Y, Z).
% 14.11/2.24 Axiom 16 (p20_35): fresh34(p19(f13(f11(X)), f13(f11(Y))), true, X, Y) = fresh19(p2(f12(f11(Y)), f7(c24)), true, X, Y).
% 14.11/2.24 Axiom 17 (p2_34): p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) = true.
% 14.11/2.24 Axiom 18 (p2_33): p2(f13(f11(c23)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) = true.
% 14.11/2.24 Axiom 19 (p10_42): p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25) = true.
% 14.11/2.24
% 14.11/2.24 Lemma 20: p2(X, X) = p18(c22).
% 14.11/2.24 Proof:
% 14.11/2.24 p2(X, X)
% 14.11/2.24 = { by axiom 2 (p2_5) }
% 14.11/2.24 true
% 14.11/2.24 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.11/2.24 p18(c22)
% 14.11/2.24
% 14.11/2.24 Lemma 21: fresh10(X, X, Y, Z) = p18(c22).
% 14.11/2.24 Proof:
% 14.11/2.24 fresh10(X, X, Y, Z)
% 14.11/2.24 = { by axiom 5 (p2_26) }
% 14.11/2.24 true
% 14.11/2.24 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.11/2.24 p18(c22)
% 14.11/2.24
% 14.11/2.24 Lemma 22: fresh11(p2(X, Y), p18(c22), Z, Y, X) = fresh10(p2(X, Z), p18(c22), Z, Y).
% 14.11/2.24 Proof:
% 14.11/2.24 fresh11(p2(X, Y), p18(c22), Z, Y, X)
% 14.11/2.24 = { by axiom 1 (c22_is_p18_1) }
% 14.11/2.24 fresh11(p2(X, Y), true, Z, Y, X)
% 14.11/2.24 = { by axiom 13 (p2_26) }
% 14.11/2.24 fresh10(p2(X, Z), true, Z, Y)
% 14.11/2.24 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.11/2.24 fresh10(p2(X, Z), p18(c22), Z, Y)
% 14.11/2.24
% 14.11/2.24 Lemma 23: p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) = p18(c22).
% 14.11/2.24 Proof:
% 14.11/2.24 p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))
% 14.11/2.24 = { by axiom 17 (p2_34) }
% 14.11/2.24 true
% 14.11/2.24 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.11/2.24 p18(c22)
% 14.11/2.25
% 14.11/2.25 Lemma 24: p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25) = p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))).
% 14.11/2.25 Proof:
% 14.11/2.25 p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25)
% 14.11/2.25 = { by axiom 19 (p10_42) }
% 14.11/2.25 true
% 14.11/2.25 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.11/2.25 p18(c22)
% 14.11/2.25 = { by lemma 23 R->L }
% 14.11/2.25 p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))
% 14.11/2.25
% 14.11/2.25 Lemma 25: fresh10(p2(X, Y), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), Y, X) = p2(Y, X).
% 14.11/2.25 Proof:
% 14.11/2.25 fresh10(p2(X, Y), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), Y, X)
% 14.11/2.25 = { by lemma 24 }
% 14.11/2.25 fresh10(p2(X, Y), p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), Y, X)
% 14.11/2.25 = { by lemma 23 }
% 14.11/2.25 fresh10(p2(X, Y), p18(c22), Y, X)
% 14.11/2.25 = { by lemma 22 R->L }
% 14.11/2.25 fresh11(p2(X, X), p18(c22), Y, X, X)
% 14.11/2.25 = { by lemma 20 }
% 14.11/2.25 fresh11(p18(c22), p18(c22), Y, X, X)
% 14.11/2.25 = { by axiom 8 (p2_26) }
% 14.11/2.25 p2(Y, X)
% 14.11/2.25
% 14.11/2.25 Goal 1 (not_p20_7): p20(f17(c25), f17(c22)) = true.
% 14.11/2.25 Proof:
% 14.11/2.25 p20(f17(c25), f17(c22))
% 14.11/2.25 = { by axiom 6 (p20_35) R->L }
% 14.11/2.25 fresh19(p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by lemma 24 }
% 14.11/2.25 fresh19(p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by lemma 23 }
% 14.11/2.25 fresh19(p18(c22), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by axiom 1 (c22_is_p18_1) }
% 14.11/2.25 fresh19(true, p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by axiom 9 (p2_10) R->L }
% 14.11/2.25 fresh19(p2(f12(f11(c22)), f7(c24)), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by lemma 24 }
% 14.11/2.25 fresh19(p2(f12(f11(c22)), f7(c24)), p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), c25, c22)
% 14.11/2.25 = { by lemma 23 }
% 14.11/2.25 fresh19(p2(f12(f11(c22)), f7(c24)), p18(c22), c25, c22)
% 14.11/2.25 = { by axiom 1 (c22_is_p18_1) }
% 14.11/2.25 fresh19(p2(f12(f11(c22)), f7(c24)), true, c25, c22)
% 14.11/2.25 = { by axiom 16 (p20_35) R->L }
% 14.11/2.25 fresh34(p19(f13(f11(c25)), f13(f11(c22))), true, c25, c22)
% 14.11/2.25 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.11/2.25 fresh34(p19(f13(f11(c25)), f13(f11(c22))), p18(c22), c25, c22)
% 14.11/2.25 = { by lemma 23 R->L }
% 14.11/2.25 fresh34(p19(f13(f11(c25)), f13(f11(c22))), p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), c25, c22)
% 14.11/2.25 = { by lemma 24 R->L }
% 14.11/2.25 fresh34(p19(f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by axiom 7 (p19_28) R->L }
% 14.11/2.25 fresh34(fresh21(p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22)), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by lemma 24 }
% 14.11/2.25 fresh34(fresh21(p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22)), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by lemma 23 }
% 14.11/2.25 fresh34(fresh21(p18(c22), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22)), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by lemma 20 R->L }
% 14.11/2.25 fresh34(fresh21(p2(f13(f11(c22)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22)), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by lemma 24 }
% 14.11/2.25 fresh34(fresh21(p2(f13(f11(c22)), f13(f11(c22))), p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), f13(f11(c25)), f13(f11(c22)), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by lemma 23 }
% 14.11/2.25 fresh34(fresh21(p2(f13(f11(c22)), f13(f11(c22))), p18(c22), f13(f11(c25)), f13(f11(c22)), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by axiom 1 (c22_is_p18_1) }
% 14.11/2.25 fresh34(fresh21(p2(f13(f11(c22)), f13(f11(c22))), true, f13(f11(c25)), f13(f11(c22)), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.25 = { by axiom 14 (p19_28) R->L }
% 14.11/2.25 fresh34(fresh40(p19(f13(f11(c23)), f13(f11(c22))), true, f13(f11(c25)), f13(f11(c22)), f13(f11(c23)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.11/2.26 fresh34(fresh40(p19(f13(f11(c23)), f13(f11(c22))), p18(c22), f13(f11(c25)), f13(f11(c22)), f13(f11(c23)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by axiom 12 (p19_12) }
% 14.11/2.26 fresh34(fresh40(true, p18(c22), f13(f11(c25)), f13(f11(c22)), f13(f11(c23)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.11/2.26 fresh34(fresh40(p18(c22), p18(c22), f13(f11(c25)), f13(f11(c22)), f13(f11(c23)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by axiom 11 (p19_28) }
% 14.11/2.26 fresh34(fresh41(p2(f13(f11(c23)), f13(f11(c25))), true, f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.11/2.26 fresh34(fresh41(p2(f13(f11(c23)), f13(f11(c25))), p18(c22), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by lemma 23 R->L }
% 14.11/2.26 fresh34(fresh41(p2(f13(f11(c23)), f13(f11(c25))), p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by lemma 24 R->L }
% 14.11/2.26 fresh34(fresh41(p2(f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by axiom 8 (p2_26) R->L }
% 14.11/2.26 fresh34(fresh41(fresh11(p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c23)), f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by lemma 24 }
% 14.11/2.26 fresh34(fresh41(fresh11(p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), f13(f11(c23)), f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by lemma 23 }
% 14.11/2.26 fresh34(fresh41(fresh11(p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), p18(c22), f13(f11(c23)), f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by lemma 24 }
% 14.11/2.26 fresh34(fresh41(fresh11(p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p18(c22), f13(f11(c23)), f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by lemma 23 }
% 14.11/2.26 fresh34(fresh41(fresh11(p18(c22), p18(c22), f13(f11(c23)), f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.26 = { by lemma 21 R->L }
% 14.11/2.27 fresh34(fresh41(fresh11(fresh10(p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c25))), p18(c22), f13(f11(c23)), f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.27 = { by lemma 24 }
% 14.11/2.27 fresh34(fresh41(fresh11(fresh10(p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c25))), p18(c22), f13(f11(c23)), f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.27 = { by lemma 25 }
% 14.11/2.27 fresh34(fresh41(fresh11(p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c25))), p18(c22), f13(f11(c23)), f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.27 = { by lemma 22 }
% 14.11/2.27 fresh34(fresh41(fresh10(p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c23))), p18(c22), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.27 = { by lemma 23 R->L }
% 14.11/2.27 fresh34(fresh41(fresh10(p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c23))), p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.11/2.27 = { by lemma 24 R->L }
% 14.11/2.27 fresh34(fresh41(fresh10(p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.27 = { by lemma 25 R->L }
% 14.88/2.27 fresh34(fresh41(fresh10(fresh10(p2(f13(f11(c23)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.27 = { by axiom 18 (p2_33) }
% 14.88/2.27 fresh34(fresh41(fresh10(fresh10(true, p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.27 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.88/2.28 fresh34(fresh41(fresh10(fresh10(p18(c22), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by lemma 23 R->L }
% 14.88/2.28 fresh34(fresh41(fresh10(fresh10(p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by lemma 24 R->L }
% 14.88/2.28 fresh34(fresh41(fresh10(fresh10(p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c23))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by lemma 21 }
% 14.88/2.28 fresh34(fresh41(fresh10(p18(c22), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by lemma 23 R->L }
% 14.88/2.28 fresh34(fresh41(fresh10(p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by lemma 24 R->L }
% 14.88/2.28 fresh34(fresh41(fresh10(p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c23)), f13(f11(c25))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by lemma 21 }
% 14.88/2.28 fresh34(fresh41(p18(c22), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by lemma 23 R->L }
% 14.88/2.28 fresh34(fresh41(p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by lemma 24 R->L }
% 14.88/2.28 fresh34(fresh41(p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), f13(f11(c25)), f13(f11(c22))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by axiom 3 (p19_28) }
% 14.88/2.28 fresh34(true, p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.88/2.28 fresh34(p18(c22), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by lemma 23 R->L }
% 14.88/2.28 fresh34(p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by lemma 24 R->L }
% 14.88/2.28 fresh34(p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), p10(f15(f5(f7(c24), f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))), c25), c25, c22)
% 14.88/2.28 = { by axiom 15 (p20_35) }
% 14.88/2.28 fresh35(p2(f12(f11(c25)), f7(c24)), true, c25, c22)
% 14.88/2.28 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.88/2.28 fresh35(p2(f12(f11(c25)), f7(c24)), p18(c22), c25, c22)
% 14.88/2.28 = { by axiom 10 (p2_9) }
% 14.88/2.28 fresh35(true, p18(c22), c25, c22)
% 14.88/2.28 = { by axiom 1 (c22_is_p18_1) R->L }
% 14.88/2.28 fresh35(p18(c22), p18(c22), c25, c22)
% 14.88/2.28 = { by axiom 4 (p20_35) }
% 14.88/2.28 true
% 14.88/2.28 % SZS output end Proof
% 14.88/2.28
% 14.88/2.28 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------