TSTP Solution File: SYN598-1 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN598-1 : 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 : n028.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 03:35:23 EDT 2023
% Result : Unsatisfiable 14.25s 2.22s
% Output : Proof 14.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN598-1 : 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
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 18:22:52 EDT 2023
% 0.13/0.33 % CPUTime :
% 14.25/2.22 Command-line arguments: --flatten
% 14.25/2.22
% 14.25/2.22 % SZS status Unsatisfiable
% 14.25/2.22
% 14.25/2.23 % SZS output start Proof
% 14.25/2.23 Take the following subset of the input axioms:
% 14.25/2.23 fof(c21_is_p17_1, negated_conjecture, p17(c21)).
% 14.25/2.23 fof(c21_is_p18_2, negated_conjecture, p18(c21)).
% 14.25/2.23 fof(not_p19_27, negated_conjecture, ~p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))).
% 14.25/2.23 fof(p19_23, negated_conjecture, ![X4, X5, X6, X7]: (p19(X4, X5) | (~p7(X6, X4) | (~p7(X7, X5) | ~p19(X6, X7))))).
% 14.25/2.23 fof(p19_28, negated_conjecture, ![X8]: (p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))) | ~p18(X8))).
% 14.25/2.23 fof(p3_7, negated_conjecture, p3(f4(f6(c21)), c22)).
% 14.25/2.23 fof(p7_25, negated_conjecture, ![X41, X42, X43, X44]: (p7(f11(X41, X42), f11(X43, X44)) | (~p3(X42, X44) | ~p7(X41, X43)))).
% 14.25/2.23 fof(p7_26, negated_conjecture, ![X37, X38, X39, X40]: (p7(f10(X37, X38), f10(X39, X40)) | (~p7(X38, X40) | ~p7(X37, X39)))).
% 14.25/2.23 fof(p7_3, negated_conjecture, ![X34]: p7(X34, X34)).
% 14.25/2.23
% 14.25/2.23 Now clausify the problem and encode Horn clauses using encoding 3 of
% 14.25/2.23 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 14.25/2.23 We repeatedly replace C & s=t => u=v by the two clauses:
% 14.25/2.23 fresh(y, y, x1...xn) = u
% 14.25/2.23 C => fresh(s, t, x1...xn) = v
% 14.25/2.23 where fresh is a fresh function symbol and x1..xn are the free
% 14.25/2.23 variables of u and v.
% 14.25/2.23 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 14.25/2.23 input problem has no model of domain size 1).
% 14.25/2.23
% 14.25/2.23 The encoding turns the above axioms into the following unit equations and goals:
% 14.25/2.23
% 14.25/2.23 Axiom 1 (c21_is_p17_1): p17(c21) = true.
% 14.25/2.23 Axiom 2 (c21_is_p18_2): p18(c21) = true.
% 14.25/2.23 Axiom 3 (p7_3): p7(X, X) = true.
% 14.25/2.23 Axiom 4 (p19_28): fresh24(X, X, Y) = true.
% 14.25/2.23 Axiom 5 (p19_23): fresh33(X, X, Y, Z) = true.
% 14.25/2.23 Axiom 6 (p3_7): p3(f4(f6(c21)), c22) = true.
% 14.25/2.23 Axiom 7 (p19_23): fresh25(X, X, Y, Z, W) = p19(Y, Z).
% 14.25/2.23 Axiom 8 (p7_26): fresh(X, X, Y, Z, W, V) = true.
% 14.25/2.23 Axiom 9 (p19_23): fresh32(X, X, Y, Z, W, V) = fresh33(p7(W, Y), true, Y, Z).
% 14.25/2.23 Axiom 10 (p7_25): fresh3(X, X, Y, Z, W, V) = true.
% 14.25/2.23 Axiom 11 (p7_26): fresh2(X, X, Y, Z, W, V) = p7(f10(Y, Z), f10(W, V)).
% 14.25/2.23 Axiom 12 (p7_25): fresh4(X, X, Y, Z, W, V) = p7(f11(Y, Z), f11(W, V)).
% 14.25/2.23 Axiom 13 (p19_23): fresh32(p19(X, Y), true, Z, W, X, Y) = fresh25(p7(Y, W), true, Z, W, X).
% 14.25/2.23 Axiom 14 (p7_25): fresh4(p3(X, Y), true, Z, X, W, Y) = fresh3(p7(Z, W), true, Z, X, W, Y).
% 14.25/2.23 Axiom 15 (p7_26): fresh2(p7(X, Y), true, Z, X, W, Y) = fresh(p7(Z, W), true, Z, X, W, Y).
% 14.25/2.23 Axiom 16 (p19_28): fresh24(p18(X), true, X) = p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X))).
% 14.25/2.23
% 14.25/2.23 Lemma 17: p7(X, X) = p17(c21).
% 14.25/2.23 Proof:
% 14.25/2.23 p7(X, X)
% 14.25/2.23 = { by axiom 3 (p7_3) }
% 14.25/2.23 true
% 14.25/2.23 = { by axiom 1 (c21_is_p17_1) R->L }
% 14.25/2.23 p17(c21)
% 14.25/2.23
% 14.25/2.23 Goal 1 (not_p19_27): p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))) = true.
% 14.25/2.23 Proof:
% 14.25/2.23 p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.23 = { by axiom 7 (p19_23) R->L }
% 14.25/2.23 fresh25(p17(c21), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))
% 14.25/2.23 = { by lemma 17 R->L }
% 14.25/2.24 fresh25(p7(f8(f9(c21)), f8(f9(c21))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) }
% 14.25/2.24 fresh25(p7(f8(f9(c21)), f8(f9(c21))), true, f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))
% 14.25/2.24 = { by axiom 13 (p19_23) R->L }
% 14.25/2.24 fresh32(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), true, f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) R->L }
% 14.25/2.24 fresh32(p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 16 (p19_28) R->L }
% 14.25/2.24 fresh32(fresh24(p18(c21), true, c21), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) R->L }
% 14.25/2.24 fresh32(fresh24(p18(c21), p17(c21), c21), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 2 (c21_is_p18_2) }
% 14.25/2.24 fresh32(fresh24(true, p17(c21), c21), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) R->L }
% 14.25/2.24 fresh32(fresh24(p17(c21), p17(c21), c21), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 4 (p19_28) }
% 14.25/2.24 fresh32(true, p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) R->L }
% 14.25/2.24 fresh32(p17(c21), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)), f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 9 (p19_23) }
% 14.25/2.24 fresh33(p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), true, f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) R->L }
% 14.25/2.24 fresh33(p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 11 (p7_26) R->L }
% 14.25/2.24 fresh33(fresh2(p17(c21), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by lemma 17 R->L }
% 14.25/2.24 fresh33(fresh2(p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) }
% 14.25/2.24 fresh33(fresh2(p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), true, f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 15 (p7_26) }
% 14.25/2.24 fresh33(fresh(p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)), true, f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) R->L }
% 14.25/2.24 fresh33(fresh(p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 12 (p7_25) R->L }
% 14.25/2.24 fresh33(fresh(fresh4(p17(c21), p17(c21), f14(f12(f15(f13(c23)))), f4(f6(c21)), f14(f12(f15(f13(c23)))), c22), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) }
% 14.25/2.24 fresh33(fresh(fresh4(true, p17(c21), f14(f12(f15(f13(c23)))), f4(f6(c21)), f14(f12(f15(f13(c23)))), c22), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 6 (p3_7) R->L }
% 14.25/2.24 fresh33(fresh(fresh4(p3(f4(f6(c21)), c22), p17(c21), f14(f12(f15(f13(c23)))), f4(f6(c21)), f14(f12(f15(f13(c23)))), c22), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) }
% 14.25/2.24 fresh33(fresh(fresh4(p3(f4(f6(c21)), c22), true, f14(f12(f15(f13(c23)))), f4(f6(c21)), f14(f12(f15(f13(c23)))), c22), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 14 (p7_25) }
% 14.25/2.24 fresh33(fresh(fresh3(p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23))))), true, f14(f12(f15(f13(c23)))), f4(f6(c21)), f14(f12(f15(f13(c23)))), c22), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) R->L }
% 14.25/2.24 fresh33(fresh(fresh3(p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23))))), p17(c21), f14(f12(f15(f13(c23)))), f4(f6(c21)), f14(f12(f15(f13(c23)))), c22), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by lemma 17 }
% 14.25/2.24 fresh33(fresh(fresh3(p17(c21), p17(c21), f14(f12(f15(f13(c23)))), f4(f6(c21)), f14(f12(f15(f13(c23)))), c22), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 10 (p7_25) }
% 14.25/2.24 fresh33(fresh(true, p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) R->L }
% 14.25/2.24 fresh33(fresh(p17(c21), p17(c21), f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 8 (p7_26) }
% 14.25/2.24 fresh33(true, p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 1 (c21_is_p17_1) R->L }
% 14.25/2.24 fresh33(p17(c21), p17(c21), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))
% 14.25/2.24 = { by axiom 5 (p19_23) }
% 14.25/2.24 true
% 14.25/2.24 % SZS output end Proof
% 14.25/2.24
% 14.25/2.24 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------