TSTP Solution File: SYN647-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN647-1 : 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 : n020.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 03:35:33 EDT 2023
% Result : Unsatisfiable 148.72s 19.42s
% Output : Proof 148.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN647-1 : 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
% 0.14/0.35 % Computer : n020.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 19:02:29 EDT 2023
% 0.14/0.35 % CPUTime :
% 148.72/19.42 Command-line arguments: --flatten
% 148.72/19.42
% 148.72/19.42 % SZS status Unsatisfiable
% 148.72/19.42
% 148.94/19.46 % SZS output start Proof
% 148.94/19.46 Take the following subset of the input axioms:
% 148.94/19.46 fof(c22_is_p18_1, negated_conjecture, p18(c22)).
% 148.94/19.46 fof(not_p21_7, negated_conjecture, ~p21(f17(c25), f17(c22))).
% 148.94/19.46 fof(p10_44, 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)).
% 148.94/19.46 fof(p20_12, negated_conjecture, p20(f14(f11(c25)), f14(f11(c22)))).
% 148.94/19.46 fof(p21_40, negated_conjecture, ![X39, X40]: (p21(f17(X39), f17(X40)) | (~p2(f12(f11(X39)), f7(c24)) | (~p2(f12(f11(X40)), f7(c24)) | (~p2(f13(f11(X39)), f13(f11(X40))) | ~p20(f14(f11(X39)), f14(f11(X40)))))))).
% 148.94/19.46 fof(p2_10, negated_conjecture, p2(f12(f11(c25)), f7(c24))).
% 148.94/19.46 fof(p2_14, negated_conjecture, p2(f13(f11(c23)), f13(f11(c22)))).
% 148.94/19.46 fof(p2_28, negated_conjecture, ![X16, X17, X18]: (p2(X17, X18) | (~p2(X16, X17) | ~p2(X16, X18)))).
% 148.94/19.46 fof(p2_35, negated_conjecture, p2(f13(f11(c23)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))).
% 148.94/19.46 fof(p2_36, negated_conjecture, p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))).
% 148.94/19.46 fof(p2_38, negated_conjecture, p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24))))))))))))))))))))))))).
% 148.94/19.46 fof(p2_5, negated_conjecture, ![X16_2]: p2(X16_2, X16_2)).
% 148.94/19.46 fof(p2_9, negated_conjecture, p2(f12(f11(c22)), f7(c24))).
% 148.94/19.46
% 148.94/19.46 Now clausify the problem and encode Horn clauses using encoding 3 of
% 148.94/19.46 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 148.94/19.46 We repeatedly replace C & s=t => u=v by the two clauses:
% 148.94/19.46 fresh(y, y, x1...xn) = u
% 148.94/19.46 C => fresh(s, t, x1...xn) = v
% 148.94/19.46 where fresh is a fresh function symbol and x1..xn are the free
% 148.94/19.46 variables of u and v.
% 148.94/19.46 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 148.94/19.46 input problem has no model of domain size 1).
% 148.94/19.46
% 148.94/19.46 The encoding turns the above axioms into the following unit equations and goals:
% 148.94/19.46
% 148.94/19.46 Axiom 1 (c22_is_p18_1): p18(c22) = true.
% 148.94/19.46 Axiom 2 (p2_5): p2(X, X) = true.
% 148.94/19.46 Axiom 3 (p21_40): fresh33(X, X, Y, Z) = true.
% 148.94/19.46 Axiom 4 (p2_28): fresh10(X, X, Y, Z) = true.
% 148.94/19.46 Axiom 5 (p21_40): fresh31(X, X, Y, Z) = p21(f17(Y), f17(Z)).
% 148.94/19.46 Axiom 6 (p2_28): fresh11(X, X, Y, Z, W) = p2(Y, Z).
% 148.94/19.46 Axiom 7 (p2_9): p2(f12(f11(c22)), f7(c24)) = true.
% 148.94/19.46 Axiom 8 (p2_10): p2(f12(f11(c25)), f7(c24)) = true.
% 148.94/19.46 Axiom 9 (p20_12): p20(f14(f11(c25)), f14(f11(c22))) = true.
% 148.94/19.46 Axiom 10 (p2_14): p2(f13(f11(c23)), f13(f11(c22))) = true.
% 148.94/19.46 Axiom 11 (p2_28): fresh11(p2(X, Y), true, Z, Y, X) = fresh10(p2(X, Z), true, Z, Y).
% 148.94/19.46 Axiom 12 (p21_40): fresh32(X, X, Y, Z) = fresh33(p2(f12(f11(Y)), f7(c24)), true, Y, Z).
% 148.94/19.46 Axiom 13 (p21_40): fresh30(X, X, Y, Z) = fresh31(p2(f12(f11(Z)), f7(c24)), true, Y, Z).
% 148.94/19.46 Axiom 14 (p21_40): fresh30(p20(f14(f11(X)), f14(f11(Y))), true, X, Y) = fresh32(p2(f13(f11(X)), f13(f11(Y))), true, X, Y).
% 148.94/19.46 Axiom 15 (p2_36): p2(f13(f11(c25)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) = true.
% 148.94/19.46 Axiom 16 (p2_35): p2(f13(f11(c23)), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) = true.
% 148.94/19.46 Axiom 17 (p2_38): p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))) = true.
% 148.94/19.46 Axiom 18 (p10_44): 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.
% 148.94/19.46
% 148.94/19.46 Lemma 19: fresh10(X, X, Y, Z) = p18(c22).
% 148.94/19.46 Proof:
% 148.94/19.46 fresh10(X, X, Y, Z)
% 148.94/19.46 = { by axiom 4 (p2_28) }
% 148.94/19.46 true
% 148.94/19.46 = { by axiom 1 (c22_is_p18_1) R->L }
% 148.94/19.46 p18(c22)
% 148.94/19.46
% 148.94/19.46 Lemma 20: p2(f12(f11(c22)), f7(c24)) = p18(c22).
% 148.94/19.46 Proof:
% 148.94/19.46 p2(f12(f11(c22)), f7(c24))
% 148.94/19.46 = { by axiom 7 (p2_9) }
% 148.94/19.46 true
% 148.94/19.46 = { by axiom 1 (c22_is_p18_1) R->L }
% 148.94/19.46 p18(c22)
% 148.94/19.46
% 148.94/19.46 Lemma 21: fresh11(p2(X, Y), p2(f12(f11(c22)), f7(c24)), Z, Y, X) = fresh10(p2(X, Z), p2(f12(f11(c22)), f7(c24)), Z, Y).
% 148.94/19.46 Proof:
% 148.94/19.46 fresh11(p2(X, Y), p2(f12(f11(c22)), f7(c24)), Z, Y, X)
% 148.94/19.46 = { by lemma 20 }
% 148.94/19.46 fresh11(p2(X, Y), p18(c22), Z, Y, X)
% 148.94/19.46 = { by axiom 1 (c22_is_p18_1) }
% 148.94/19.46 fresh11(p2(X, Y), true, Z, Y, X)
% 148.94/19.46 = { by axiom 11 (p2_28) }
% 148.94/19.46 fresh10(p2(X, Z), true, Z, Y)
% 148.94/19.46 = { by axiom 1 (c22_is_p18_1) R->L }
% 148.94/19.46 fresh10(p2(X, Z), p18(c22), Z, Y)
% 148.94/19.46 = { by lemma 20 R->L }
% 148.94/19.46 fresh10(p2(X, Z), p2(f12(f11(c22)), f7(c24)), Z, Y)
% 148.94/19.46
% 148.94/19.46 Lemma 22: p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))) = p2(f12(f11(c22)), f7(c24)).
% 148.94/19.46 Proof:
% 148.94/19.46 p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24))))))))))))))))))))))))
% 148.94/19.46 = { by axiom 17 (p2_38) }
% 148.94/19.46 true
% 148.94/19.46 = { by axiom 1 (c22_is_p18_1) R->L }
% 148.94/19.46 p18(c22)
% 148.94/19.46 = { by lemma 20 R->L }
% 148.94/19.46 p2(f12(f11(c22)), f7(c24))
% 148.94/19.46
% 148.94/19.46 Lemma 23: 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(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))).
% 148.94/19.46 Proof:
% 148.94/19.46 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)
% 148.94/19.46 = { by axiom 18 (p10_44) }
% 148.94/19.46 true
% 148.94/19.46 = { by axiom 1 (c22_is_p18_1) R->L }
% 148.94/19.46 p18(c22)
% 148.94/19.46 = { by lemma 20 R->L }
% 148.94/19.46 p2(f12(f11(c22)), f7(c24))
% 148.94/19.46 = { by lemma 22 R->L }
% 148.94/19.46 p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24))))))))))))))))))))))))
% 148.94/19.46
% 148.94/19.46 Lemma 24: 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).
% 148.94/19.46 Proof:
% 148.94/19.46 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)
% 148.94/19.46 = { by lemma 23 }
% 148.94/19.47 fresh10(p2(X, Y), p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))), Y, X)
% 148.94/19.47 = { by lemma 22 }
% 148.94/19.47 fresh10(p2(X, Y), p2(f12(f11(c22)), f7(c24)), Y, X)
% 148.94/19.47 = { by lemma 21 R->L }
% 148.94/19.47 fresh11(p2(X, X), p2(f12(f11(c22)), f7(c24)), Y, X, X)
% 148.94/19.47 = { by axiom 2 (p2_5) }
% 148.94/19.47 fresh11(true, p2(f12(f11(c22)), f7(c24)), Y, X, X)
% 148.94/19.47 = { by axiom 1 (c22_is_p18_1) R->L }
% 148.94/19.47 fresh11(p18(c22), p2(f12(f11(c22)), f7(c24)), Y, X, X)
% 148.94/19.47 = { by lemma 20 R->L }
% 148.94/19.47 fresh11(p2(f12(f11(c22)), f7(c24)), p2(f12(f11(c22)), f7(c24)), Y, X, X)
% 148.94/19.47 = { by axiom 6 (p2_28) }
% 148.94/19.47 p2(Y, X)
% 148.94/19.47
% 148.94/19.47 Goal 1 (not_p21_7): p21(f17(c25), f17(c22)) = true.
% 148.94/19.47 Proof:
% 148.94/19.47 p21(f17(c25), f17(c22))
% 148.94/19.47 = { by axiom 5 (p21_40) R->L }
% 148.94/19.47 fresh31(p2(f12(f11(c22)), f7(c24)), p2(f12(f11(c22)), f7(c24)), c25, c22)
% 148.94/19.47 = { by lemma 20 }
% 148.94/19.47 fresh31(p2(f12(f11(c22)), f7(c24)), p18(c22), c25, c22)
% 148.94/19.47 = { by axiom 1 (c22_is_p18_1) }
% 148.94/19.47 fresh31(p2(f12(f11(c22)), f7(c24)), true, c25, c22)
% 148.94/19.47 = { by axiom 13 (p21_40) R->L }
% 148.94/19.47 fresh30(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)
% 148.94/19.47 = { by lemma 23 }
% 148.94/19.47 fresh30(p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(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)
% 148.94/19.47 = { by lemma 22 }
% 148.94/19.47 fresh30(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)
% 148.94/19.47 = { by lemma 20 }
% 148.94/19.47 fresh30(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)
% 148.94/19.47 = { by axiom 1 (c22_is_p18_1) }
% 148.94/19.47 fresh30(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)
% 148.94/19.47 = { by axiom 9 (p20_12) R->L }
% 148.94/19.47 fresh30(p20(f14(f11(c25)), f14(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)
% 148.94/19.47 = { by lemma 23 }
% 148.94/19.47 fresh30(p20(f14(f11(c25)), f14(f11(c22))), p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))), c25, c22)
% 148.94/19.47 = { by lemma 22 }
% 148.94/19.47 fresh30(p20(f14(f11(c25)), f14(f11(c22))), p2(f12(f11(c22)), f7(c24)), c25, c22)
% 148.94/19.47 = { by lemma 20 }
% 148.94/19.47 fresh30(p20(f14(f11(c25)), f14(f11(c22))), p18(c22), c25, c22)
% 148.94/19.47 = { by axiom 1 (c22_is_p18_1) }
% 148.94/19.47 fresh30(p20(f14(f11(c25)), f14(f11(c22))), true, c25, c22)
% 148.94/19.47 = { by axiom 14 (p21_40) }
% 148.94/19.47 fresh32(p2(f13(f11(c25)), f13(f11(c22))), true, c25, c22)
% 148.94/19.47 = { by axiom 1 (c22_is_p18_1) R->L }
% 148.94/19.47 fresh32(p2(f13(f11(c25)), f13(f11(c22))), p18(c22), c25, c22)
% 148.94/19.47 = { by lemma 20 R->L }
% 148.94/19.47 fresh32(p2(f13(f11(c25)), f13(f11(c22))), p2(f12(f11(c22)), f7(c24)), c25, c22)
% 148.94/19.47 = { by lemma 22 R->L }
% 148.94/19.47 fresh32(p2(f13(f11(c25)), f13(f11(c22))), p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))), c25, c22)
% 148.94/19.47 = { by lemma 23 R->L }
% 148.94/19.47 fresh32(p2(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)
% 148.94/19.47 = { by axiom 6 (p2_28) R->L }
% 148.94/19.47 fresh32(fresh11(p2(f12(f11(c22)), f7(c24)), p2(f12(f11(c22)), f7(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)
% 148.94/19.47 = { by lemma 20 }
% 148.94/19.47 fresh32(fresh11(p18(c22), p2(f12(f11(c22)), f7(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)
% 148.94/19.47 = { by axiom 1 (c22_is_p18_1) }
% 148.94/19.47 fresh32(fresh11(true, p2(f12(f11(c22)), f7(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)
% 148.94/19.47 = { by axiom 10 (p2_14) R->L }
% 148.94/19.47 fresh32(fresh11(p2(f13(f11(c23)), f13(f11(c22))), p2(f12(f11(c22)), f7(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)
% 148.94/19.47 = { by lemma 21 }
% 148.94/19.47 fresh32(fresh10(p2(f13(f11(c23)), f13(f11(c25))), p2(f12(f11(c22)), f7(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)
% 148.94/19.47 = { by lemma 22 R->L }
% 148.94/19.47 fresh32(fresh10(p2(f13(f11(c23)), f13(f11(c25))), p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(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)
% 148.94/19.48 = { by lemma 23 R->L }
% 148.94/19.48 fresh32(fresh10(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)
% 148.94/19.48 = { by axiom 6 (p2_28) R->L }
% 148.94/19.48 fresh32(fresh10(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)
% 148.94/19.48 = { by lemma 23 }
% 148.94/19.48 fresh32(fresh10(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(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(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)
% 148.94/19.48 = { by lemma 22 }
% 148.94/19.48 fresh32(fresh10(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(f12(f11(c22)), f7(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)
% 148.94/19.48 = { by lemma 23 }
% 148.94/19.48 fresh32(fresh10(fresh11(p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))), p2(f12(f11(c22)), f7(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)
% 148.94/19.48 = { by lemma 22 }
% 148.94/19.49 fresh32(fresh10(fresh11(p2(f12(f11(c22)), f7(c24)), p2(f12(f11(c22)), f7(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)
% 148.94/19.49 = { by lemma 20 }
% 148.94/19.49 fresh32(fresh10(fresh11(p18(c22), p2(f12(f11(c22)), f7(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)
% 148.94/19.49 = { by lemma 19 R->L }
% 148.94/19.49 fresh32(fresh10(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))), p2(f12(f11(c22)), f7(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)
% 148.94/19.49 = { by lemma 23 }
% 148.94/19.49 fresh32(fresh10(fresh11(fresh10(p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(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))), p2(f12(f11(c22)), f7(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)
% 148.94/19.49 = { by lemma 22 }
% 148.94/19.49 fresh32(fresh10(fresh11(fresh10(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), f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c25))), p2(f12(f11(c22)), f7(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)
% 148.94/19.50 = { by lemma 20 }
% 148.94/19.50 fresh32(fresh10(fresh11(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(c25))), p2(f12(f11(c22)), f7(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)
% 148.94/19.50 = { by axiom 1 (c22_is_p18_1) }
% 148.94/19.50 fresh32(fresh10(fresh11(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(c25))), p2(f12(f11(c22)), f7(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)
% 148.94/19.50 = { by axiom 15 (p2_36) R->L }
% 148.94/19.50 fresh32(fresh10(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))), p2(f12(f11(c22)), f7(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)
% 148.94/19.50 = { by lemma 24 }
% 148.94/19.50 fresh32(fresh10(fresh11(p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c25))), p2(f12(f11(c22)), f7(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)
% 148.94/19.50 = { by lemma 21 }
% 148.94/19.50 fresh32(fresh10(fresh10(p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c23))), p2(f12(f11(c22)), f7(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)
% 148.94/19.50 = { by lemma 22 R->L }
% 148.94/19.50 fresh32(fresh10(fresh10(p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))), f13(f11(c23))), p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(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)
% 148.94/19.50 = { by lemma 23 R->L }
% 148.94/19.50 fresh32(fresh10(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)
% 148.94/19.50 = { by lemma 24 R->L }
% 148.94/19.50 fresh32(fresh10(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)
% 148.94/19.50 = { by axiom 16 (p2_35) }
% 148.94/19.50 fresh32(fresh10(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)
% 148.94/19.51 = { by axiom 1 (c22_is_p18_1) R->L }
% 148.94/19.51 fresh32(fresh10(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)
% 148.94/19.51 = { by lemma 20 R->L }
% 148.94/19.51 fresh32(fresh10(fresh10(fresh10(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), 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)
% 148.94/19.51 = { by lemma 22 R->L }
% 148.94/19.51 fresh32(fresh10(fresh10(fresh10(p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(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)
% 148.94/19.51 = { by lemma 23 R->L }
% 148.94/19.51 fresh32(fresh10(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)
% 148.94/19.51 = { by lemma 19 }
% 148.94/19.51 fresh32(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), 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)
% 148.94/19.51 = { by lemma 20 R->L }
% 148.94/19.51 fresh32(fresh10(fresh10(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), 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)
% 148.94/19.51 = { by lemma 22 R->L }
% 148.94/19.51 fresh32(fresh10(fresh10(p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(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)
% 148.94/19.51 = { by lemma 23 R->L }
% 148.94/19.51 fresh32(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), 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)
% 148.94/19.52 = { by lemma 19 }
% 148.94/19.52 fresh32(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(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)
% 148.94/19.52 = { by lemma 20 R->L }
% 148.94/19.52 fresh32(fresh10(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), 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)
% 148.94/19.52 = { by lemma 22 R->L }
% 148.94/19.52 fresh32(fresh10(p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(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)
% 148.94/19.52 = { by lemma 23 R->L }
% 148.94/19.52 fresh32(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(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)
% 148.94/19.52 = { by lemma 19 }
% 148.94/19.52 fresh32(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)
% 148.94/19.52 = { by lemma 20 R->L }
% 148.94/19.52 fresh32(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)
% 148.94/19.52 = { by lemma 22 R->L }
% 148.94/19.52 fresh32(p2(f14(f11(c23)), f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(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)
% 148.94/19.52 = { by lemma 23 R->L }
% 148.94/19.52 fresh32(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)
% 148.94/19.52 = { by axiom 12 (p21_40) }
% 148.94/19.52 fresh33(p2(f12(f11(c25)), f7(c24)), true, c25, c22)
% 148.94/19.52 = { by axiom 1 (c22_is_p18_1) R->L }
% 148.94/19.52 fresh33(p2(f12(f11(c25)), f7(c24)), p18(c22), c25, c22)
% 148.94/19.52 = { by lemma 20 R->L }
% 148.94/19.52 fresh33(p2(f12(f11(c25)), f7(c24)), p2(f12(f11(c22)), f7(c24)), c25, c22)
% 148.94/19.52 = { by axiom 8 (p2_10) }
% 148.94/19.52 fresh33(true, p2(f12(f11(c22)), f7(c24)), c25, c22)
% 148.94/19.52 = { by axiom 1 (c22_is_p18_1) R->L }
% 148.94/19.52 fresh33(p18(c22), p2(f12(f11(c22)), f7(c24)), c25, c22)
% 148.94/19.52 = { by lemma 20 R->L }
% 148.94/19.52 fresh33(p2(f12(f11(c22)), f7(c24)), p2(f12(f11(c22)), f7(c24)), c25, c22)
% 148.94/19.52 = { by axiom 3 (p21_40) }
% 148.94/19.52 true
% 148.94/19.52 % SZS output end Proof
% 148.94/19.52
% 148.94/19.52 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------