TSTP Solution File: SYN628-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN628-1 : 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 03:35:30 EDT 2023
% Result : Unsatisfiable 0.20s 0.63s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN628-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n019.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 19:56:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.63 Command-line arguments: --flatten
% 0.20/0.63
% 0.20/0.63 % SZS status Unsatisfiable
% 0.20/0.63
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 Take the following subset of the input axioms:
% 0.20/0.67 fof(not_p20_35, negated_conjecture, ~p20(f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))).
% 0.20/0.67 fof(p20_26, negated_conjecture, ![X11, X12, X13, X14]: (p20(X11, X12) | (~p9(X13, X11) | (~p9(X14, X12) | ~p20(X13, X14))))).
% 0.20/0.67 fof(p20_34, negated_conjecture, p20(f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))))).
% 0.20/0.67 fof(p20_8, negated_conjecture, p20(c28, c26)).
% 0.20/0.67 fof(p21_9, negated_conjecture, p21(c27, c22)).
% 0.20/0.67 fof(p2_1, negated_conjecture, ![X4]: p2(X4, X4)).
% 0.20/0.67 fof(p9_13, negated_conjecture, ![X53, X54]: (p9(f16(X53), f16(X54)) | ~p9(X53, X54))).
% 0.20/0.67 fof(p9_2, negated_conjecture, ![X40]: p9(X40, X40)).
% 0.20/0.67 fof(p9_29, negated_conjecture, ![X55, X56, X57, X58]: (p9(f17(X55, X56), f17(X57, X58)) | (~p9(X55, X57) | ~p9(X56, X58)))).
% 0.20/0.67 fof(p9_30, negated_conjecture, ![X49, X50, X51, X52]: (p9(f15(X49, X50), f15(X51, X52)) | (~p2(X49, X51) | ~p9(X50, X52)))).
% 0.20/0.67 fof(p9_31, negated_conjecture, ![X43, X44, X45, X46]: (p9(f10(X43, X44), f10(X45, X46)) | (~p9(X43, X45) | ~p9(X44, X46)))).
% 0.20/0.67 fof(p9_6, negated_conjecture, p9(c28, c22)).
% 0.20/0.67
% 0.20/0.67 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.20/0.67 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.20/0.67 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.20/0.67 fresh(y, y, x1...xn) = u
% 0.20/0.67 C => fresh(s, t, x1...xn) = v
% 0.20/0.67 where fresh is a fresh function symbol and x1..xn are the free
% 0.20/0.67 variables of u and v.
% 0.20/0.67 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.20/0.67 input problem has no model of domain size 1).
% 0.20/0.67
% 0.20/0.67 The encoding turns the above axioms into the following unit equations and goals:
% 0.20/0.67
% 0.20/0.67 Axiom 1 (p21_9): p21(c27, c22) = true2.
% 0.20/0.67 Axiom 2 (p2_1): p2(X, X) = true2.
% 0.20/0.67 Axiom 3 (p20_8): p20(c28, c26) = true2.
% 0.20/0.67 Axiom 4 (p9_2): p9(X, X) = true2.
% 0.20/0.67 Axiom 5 (p9_6): p9(c28, c22) = true2.
% 0.20/0.67 Axiom 6 (p20_26): fresh33(X, X, Y, Z) = true2.
% 0.20/0.67 Axiom 7 (p9_13): fresh12(X, X, Y, Z) = true2.
% 0.20/0.67 Axiom 8 (p20_26): fresh30(X, X, Y, Z, W) = p20(Y, Z).
% 0.20/0.67 Axiom 9 (p9_31): fresh(X, X, Y, Z, W, V) = true2.
% 0.20/0.67 Axiom 10 (p20_26): fresh32(X, X, Y, Z, W, V) = fresh33(p9(W, Y), true2, Y, Z).
% 0.20/0.67 Axiom 11 (p9_13): fresh12(p9(X, Y), true2, X, Y) = p9(f16(X), f16(Y)).
% 0.20/0.67 Axiom 12 (p9_29): fresh5(X, X, Y, Z, W, V) = true2.
% 0.20/0.67 Axiom 13 (p9_30): fresh3(X, X, Y, Z, W, V) = true2.
% 0.20/0.67 Axiom 14 (p9_31): fresh2(X, X, Y, Z, W, V) = p9(f10(Y, Z), f10(W, V)).
% 0.20/0.67 Axiom 15 (p9_29): fresh6(X, X, Y, Z, W, V) = p9(f17(Y, Z), f17(W, V)).
% 0.20/0.67 Axiom 16 (p9_30): fresh4(X, X, Y, Z, W, V) = p9(f15(Y, Z), f15(W, V)).
% 0.20/0.67 Axiom 17 (p20_26): fresh32(p20(X, Y), true2, Z, W, X, Y) = fresh30(p9(Y, W), true2, Z, W, X).
% 0.20/0.67 Axiom 18 (p9_29): fresh6(p9(X, Y), true2, Z, X, W, Y) = fresh5(p9(Z, W), true2, Z, X, W, Y).
% 0.20/0.67 Axiom 19 (p9_30): fresh4(p9(X, Y), true2, Z, X, W, Y) = fresh3(p2(Z, W), true2, Z, X, W, Y).
% 0.20/0.67 Axiom 20 (p9_31): fresh2(p9(X, Y), true2, Z, X, W, Y) = fresh(p9(Z, W), true2, Z, X, W, Y).
% 0.20/0.67 Axiom 21 (p20_34): p20(f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))))) = true2.
% 0.20/0.67
% 0.20/0.67 Lemma 22: p20(c28, c26) = p21(c27, c22).
% 0.20/0.67 Proof:
% 0.20/0.67 p20(c28, c26)
% 0.20/0.67 = { by axiom 3 (p20_8) }
% 0.20/0.67 true2
% 0.20/0.67 = { by axiom 1 (p21_9) R->L }
% 0.20/0.67 p21(c27, c22)
% 0.20/0.67
% 0.20/0.67 Lemma 23: p9(X, X) = p20(c28, c26).
% 0.20/0.67 Proof:
% 0.20/0.67 p9(X, X)
% 0.20/0.67 = { by axiom 4 (p9_2) }
% 0.20/0.67 true2
% 0.20/0.67 = { by axiom 1 (p21_9) R->L }
% 0.20/0.67 p21(c27, c22)
% 0.20/0.67 = { by lemma 22 R->L }
% 0.20/0.67 p20(c28, c26)
% 0.20/0.67
% 0.20/0.67 Lemma 24: p9(c28, c22) = p20(c28, c26).
% 0.20/0.67 Proof:
% 0.20/0.67 p9(c28, c22)
% 0.20/0.67 = { by axiom 5 (p9_6) }
% 0.20/0.67 true2
% 0.20/0.67 = { by axiom 1 (p21_9) R->L }
% 0.20/0.67 p21(c27, c22)
% 0.20/0.67 = { by lemma 22 R->L }
% 0.20/0.67 p20(c28, c26)
% 0.20/0.67
% 0.20/0.67 Goal 1 (not_p20_35): p20(f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29)))))) = true2.
% 0.20/0.67 Proof:
% 0.20/0.67 p20(f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.67 = { by axiom 8 (p20_26) R->L }
% 0.20/0.67 fresh30(p9(c28, c22), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 24 }
% 0.20/0.67 fresh30(p20(c28, c26), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 22 }
% 0.20/0.67 fresh30(p21(c27, c22), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 1 (p21_9) }
% 0.20/0.67 fresh30(true2, p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 9 (p9_31) R->L }
% 0.20/0.67 fresh30(fresh(p9(c28, c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 24 }
% 0.20/0.67 fresh30(fresh(p20(c28, c26), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 22 }
% 0.20/0.67 fresh30(fresh(p21(c27, c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 1 (p21_9) }
% 0.20/0.67 fresh30(fresh(true2, p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 13 (p9_30) R->L }
% 0.20/0.67 fresh30(fresh(fresh3(p9(c28, c22), p9(c28, c22), f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 24 }
% 0.20/0.67 fresh30(fresh(fresh3(p20(c28, c26), p9(c28, c22), f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 22 }
% 0.20/0.67 fresh30(fresh(fresh3(p21(c27, c22), p9(c28, c22), f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 1 (p21_9) }
% 0.20/0.67 fresh30(fresh(fresh3(true2, p9(c28, c22), f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 2 (p2_1) R->L }
% 0.20/0.67 fresh30(fresh(fresh3(p2(f7(c23, f8(c24, c25)), f7(c23, f8(c24, c25))), p9(c28, c22), f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 24 }
% 0.20/0.67 fresh30(fresh(fresh3(p2(f7(c23, f8(c24, c25)), f7(c23, f8(c24, c25))), p20(c28, c26), f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 22 }
% 0.20/0.67 fresh30(fresh(fresh3(p2(f7(c23, f8(c24, c25)), f7(c23, f8(c24, c25))), p21(c27, c22), f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 1 (p21_9) }
% 0.20/0.67 fresh30(fresh(fresh3(p2(f7(c23, f8(c24, c25)), f7(c23, f8(c24, c25))), true2, f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 19 (p9_30) R->L }
% 0.20/0.67 fresh30(fresh(fresh4(p9(c28, c22), true2, f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 1 (p21_9) R->L }
% 0.20/0.67 fresh30(fresh(fresh4(p9(c28, c22), p21(c27, c22), f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 22 R->L }
% 0.20/0.67 fresh30(fresh(fresh4(p9(c28, c22), p20(c28, c26), f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 24 R->L }
% 0.20/0.67 fresh30(fresh(fresh4(p9(c28, c22), p9(c28, c22), f7(c23, f8(c24, c25)), c28, f7(c23, f8(c24, c25)), c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 16 (p9_30) }
% 0.20/0.67 fresh30(fresh(p9(f15(f7(c23, f8(c24, c25)), c28), f15(f7(c23, f8(c24, c25)), c22)), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 24 }
% 0.20/0.67 fresh30(fresh(p9(f15(f7(c23, f8(c24, c25)), c28), f15(f7(c23, f8(c24, c25)), c22)), p20(c28, c26), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by lemma 22 }
% 0.20/0.67 fresh30(fresh(p9(f15(f7(c23, f8(c24, c25)), c28), f15(f7(c23, f8(c24, c25)), c22)), p21(c27, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 1 (p21_9) }
% 0.20/0.67 fresh30(fresh(p9(f15(f7(c23, f8(c24, c25)), c28), f15(f7(c23, f8(c24, c25)), c22)), true2, f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 20 (p9_31) R->L }
% 0.20/0.67 fresh30(fresh2(p9(f11(f12(f13(f14(c29)))), f11(f12(f13(f14(c29))))), true2, f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.67 = { by axiom 1 (p21_9) R->L }
% 0.20/0.68 fresh30(fresh2(p9(f11(f12(f13(f14(c29)))), f11(f12(f13(f14(c29))))), p21(c27, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.68 = { by lemma 22 R->L }
% 0.20/0.68 fresh30(fresh2(p9(f11(f12(f13(f14(c29)))), f11(f12(f13(f14(c29))))), p20(c28, c26), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.68 = { by lemma 24 R->L }
% 0.20/0.68 fresh30(fresh2(p9(f11(f12(f13(f14(c29)))), f11(f12(f13(f14(c29))))), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.68 = { by lemma 23 }
% 0.20/0.68 fresh30(fresh2(p20(c28, c26), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.68 = { by lemma 24 R->L }
% 0.20/0.68 fresh30(fresh2(p9(c28, c22), p9(c28, c22), f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))), f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.68 = { by axiom 14 (p9_31) }
% 0.20/0.68 fresh30(p9(f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29)))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.68 = { by lemma 24 }
% 0.20/0.68 fresh30(p9(f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29)))))), p20(c28, c26), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.68 = { by lemma 22 }
% 0.20/0.68 fresh30(p9(f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29)))))), p21(c27, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.68 = { by axiom 1 (p21_9) }
% 0.20/0.68 fresh30(p9(f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29)))))), true2, f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)))
% 0.20/0.68 = { by axiom 17 (p20_26) R->L }
% 0.20/0.68 fresh32(p20(f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))))), true2, f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 1 (p21_9) R->L }
% 0.20/0.68 fresh32(p20(f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))))), p21(c27, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 22 R->L }
% 0.20/0.68 fresh32(p20(f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))))), p20(c28, c26), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 24 R->L }
% 0.20/0.68 fresh32(p20(f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29)))))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 21 (p20_34) }
% 0.20/0.68 fresh32(true2, p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 1 (p21_9) R->L }
% 0.20/0.68 fresh32(p21(c27, c22), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 22 R->L }
% 0.20/0.68 fresh32(p20(c28, c26), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 24 R->L }
% 0.20/0.68 fresh32(p9(c28, c22), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))), f16(f17(c28, c27)), f10(f15(f7(c23, f8(c24, c25)), c28), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 10 (p20_26) }
% 0.20/0.68 fresh33(p9(f16(f17(c28, c27)), f16(f17(c22, c27))), true2, f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 1 (p21_9) R->L }
% 0.20/0.68 fresh33(p9(f16(f17(c28, c27)), f16(f17(c22, c27))), p21(c27, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 22 R->L }
% 0.20/0.68 fresh33(p9(f16(f17(c28, c27)), f16(f17(c22, c27))), p20(c28, c26), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 24 R->L }
% 0.20/0.68 fresh33(p9(f16(f17(c28, c27)), f16(f17(c22, c27))), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 11 (p9_13) R->L }
% 0.20/0.68 fresh33(fresh12(p9(f17(c28, c27), f17(c22, c27)), true2, f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 1 (p21_9) R->L }
% 0.20/0.68 fresh33(fresh12(p9(f17(c28, c27), f17(c22, c27)), p21(c27, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 22 R->L }
% 0.20/0.68 fresh33(fresh12(p9(f17(c28, c27), f17(c22, c27)), p20(c28, c26), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 24 R->L }
% 0.20/0.68 fresh33(fresh12(p9(f17(c28, c27), f17(c22, c27)), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 15 (p9_29) R->L }
% 0.20/0.68 fresh33(fresh12(fresh6(p9(c28, c22), p9(c28, c22), c28, c27, c22, c27), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 24 }
% 0.20/0.68 fresh33(fresh12(fresh6(p20(c28, c26), p9(c28, c22), c28, c27, c22, c27), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 23 R->L }
% 0.20/0.68 fresh33(fresh12(fresh6(p9(c27, c27), p9(c28, c22), c28, c27, c22, c27), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 24 }
% 0.20/0.68 fresh33(fresh12(fresh6(p9(c27, c27), p20(c28, c26), c28, c27, c22, c27), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 22 }
% 0.20/0.68 fresh33(fresh12(fresh6(p9(c27, c27), p21(c27, c22), c28, c27, c22, c27), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 1 (p21_9) }
% 0.20/0.68 fresh33(fresh12(fresh6(p9(c27, c27), true2, c28, c27, c22, c27), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 18 (p9_29) }
% 0.20/0.68 fresh33(fresh12(fresh5(p9(c28, c22), true2, c28, c27, c22, c27), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 1 (p21_9) R->L }
% 0.20/0.68 fresh33(fresh12(fresh5(p9(c28, c22), p21(c27, c22), c28, c27, c22, c27), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 22 R->L }
% 0.20/0.68 fresh33(fresh12(fresh5(p9(c28, c22), p20(c28, c26), c28, c27, c22, c27), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 24 R->L }
% 0.20/0.68 fresh33(fresh12(fresh5(p9(c28, c22), p9(c28, c22), c28, c27, c22, c27), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 12 (p9_29) }
% 0.20/0.68 fresh33(fresh12(true2, p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 1 (p21_9) R->L }
% 0.20/0.68 fresh33(fresh12(p21(c27, c22), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 22 R->L }
% 0.20/0.68 fresh33(fresh12(p20(c28, c26), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 24 R->L }
% 0.20/0.68 fresh33(fresh12(p9(c28, c22), p9(c28, c22), f17(c28, c27), f17(c22, c27)), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 7 (p9_13) }
% 0.20/0.68 fresh33(true2, p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 1 (p21_9) R->L }
% 0.20/0.68 fresh33(p21(c27, c22), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 22 R->L }
% 0.20/0.68 fresh33(p20(c28, c26), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by lemma 24 R->L }
% 0.20/0.68 fresh33(p9(c28, c22), p9(c28, c22), f16(f17(c22, c27)), f10(f15(f7(c23, f8(c24, c25)), c22), f11(f12(f13(f14(c29))))))
% 0.20/0.68 = { by axiom 6 (p20_26) }
% 0.20/0.68 true2
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68
% 0.20/0.68 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------