TSTP Solution File: SYN600-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN600-1 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 03:35:23 EDT 2023
% Result : Unsatisfiable 29.43s 4.16s
% Output : Proof 29.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN600-1 : 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
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 18:34:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 29.43/4.16 Command-line arguments: --flatten
% 29.43/4.16
% 29.43/4.16 % SZS status Unsatisfiable
% 29.43/4.16
% 29.60/4.18 % SZS output start Proof
% 29.60/4.18 Take the following subset of the input axioms:
% 29.60/4.18 fof(c21_is_p19_1, negated_conjecture, p19(c21)).
% 29.60/4.18 fof(c22_is_p19_2, negated_conjecture, p19(c22)).
% 29.60/4.18 fof(not_p3_8, negated_conjecture, ~p3(f4(f6(c21)), f4(f6(c22)))).
% 29.60/4.18 fof(p17_22, negated_conjecture, ![X0, X1, X2, X3]: (p17(X0, X1) | (~p7(X2, X0) | (~p7(X3, X1) | ~p17(X2, X3))))).
% 29.60/4.18 fof(p17_28, negated_conjecture, ![X4]: (p17(f15(f16(X4)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(X4))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) | ~p19(X4))).
% 29.60/4.18 fof(p18_23, negated_conjecture, ![X5, X6, X7, X8]: (p18(X5, X6) | (~p7(X7, X5) | (~p7(X8, X6) | ~p18(X7, X8))))).
% 29.60/4.18 fof(p18_27, negated_conjecture, ![X4_2]: (p18(f9(f10(f13(f11(f14(f12(c20)))), f4(f6(X4_2))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(X4_2))) | ~p19(X4_2))).
% 29.60/4.18 fof(p3_21, negated_conjecture, ![X16, X17, X18]: (p3(X17, X18) | (~p3(X16, X17) | ~p3(X16, X18)))).
% 29.60/4.18 fof(p3_29, negated_conjecture, ![X27, X28]: (p3(f4(f6(X27)), X28) | (~p19(X27) | (~p18(f9(f10(f13(f11(f14(f12(c20)))), X28), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(X27))) | ~p17(f15(f16(X27)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), X28), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))))))).
% 29.60/4.18 fof(p3_6, negated_conjecture, ![X16_2]: p3(X16_2, X16_2)).
% 29.60/4.18 fof(p7_17, negated_conjecture, ![X41, X42]: (p7(f15(X41), f15(X42)) | ~p7(X41, X42))).
% 29.60/4.18 fof(p7_4, negated_conjecture, ![X32]: p7(X32, X32)).
% 29.60/4.18 fof(p7_7, negated_conjecture, p7(f16(c21), f16(c22))).
% 29.60/4.18
% 29.60/4.18 Now clausify the problem and encode Horn clauses using encoding 3 of
% 29.60/4.18 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 29.60/4.18 We repeatedly replace C & s=t => u=v by the two clauses:
% 29.60/4.18 fresh(y, y, x1...xn) = u
% 29.60/4.18 C => fresh(s, t, x1...xn) = v
% 29.60/4.18 where fresh is a fresh function symbol and x1..xn are the free
% 29.60/4.18 variables of u and v.
% 29.60/4.18 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 29.60/4.18 input problem has no model of domain size 1).
% 29.60/4.18
% 29.60/4.18 The encoding turns the above axioms into the following unit equations and goals:
% 29.60/4.18
% 29.60/4.18 Axiom 1 (c21_is_p19_1): p19(c21) = true.
% 29.60/4.18 Axiom 2 (c22_is_p19_2): p19(c22) = true.
% 29.60/4.18 Axiom 3 (p3_6): p3(X, X) = true.
% 29.60/4.18 Axiom 4 (p7_4): p7(X, X) = true.
% 29.60/4.18 Axiom 5 (p17_28): fresh28(X, X, Y) = true.
% 29.60/4.18 Axiom 6 (p18_27): fresh26(X, X, Y) = true.
% 29.60/4.18 Axiom 7 (p17_22): fresh35(X, X, Y, Z) = true.
% 29.60/4.18 Axiom 8 (p18_23): fresh33(X, X, Y, Z) = true.
% 29.60/4.18 Axiom 9 (p3_29): fresh31(X, X, Y, Z) = true.
% 29.60/4.18 Axiom 10 (p3_21): fresh15(X, X, Y, Z) = true.
% 29.60/4.18 Axiom 11 (p7_17): fresh9(X, X, Y, Z) = true.
% 29.60/4.18 Axiom 12 (p3_29): fresh14(X, X, Y, Z) = p3(f4(f6(Y)), Z).
% 29.60/4.18 Axiom 13 (p7_7): p7(f16(c21), f16(c22)) = true.
% 29.60/4.18 Axiom 14 (p3_29): fresh30(X, X, Y, Z) = fresh31(p19(Y), true, Y, Z).
% 29.60/4.18 Axiom 15 (p17_22): fresh29(X, X, Y, Z, W) = p17(Y, Z).
% 29.60/4.18 Axiom 16 (p18_23): fresh27(X, X, Y, Z, W) = p18(Y, Z).
% 29.60/4.18 Axiom 17 (p3_21): fresh16(X, X, Y, Z, W) = p3(Y, Z).
% 29.60/4.18 Axiom 18 (p17_22): fresh34(X, X, Y, Z, W, V) = fresh35(p7(W, Y), true, Y, Z).
% 29.60/4.18 Axiom 19 (p18_23): fresh32(X, X, Y, Z, W, V) = fresh33(p7(W, Y), true, Y, Z).
% 29.60/4.18 Axiom 20 (p7_17): fresh9(p7(X, Y), true, X, Y) = p7(f15(X), f15(Y)).
% 29.60/4.18 Axiom 21 (p3_21): fresh16(p3(X, Y), true, Z, Y, X) = fresh15(p3(X, Z), true, Z, Y).
% 29.60/4.18 Axiom 22 (p17_22): fresh34(p17(X, Y), true, Z, W, X, Y) = fresh29(p7(Y, W), true, Z, W, X).
% 29.60/4.18 Axiom 23 (p18_23): fresh32(p18(X, Y), true, Z, W, X, Y) = fresh27(p7(Y, W), true, Z, W, X).
% 29.60/4.18 Axiom 24 (p18_27): fresh26(p19(X), true, X) = p18(f9(f10(f13(f11(f14(f12(c20)))), f4(f6(X))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(X))).
% 29.60/4.18 Axiom 25 (p17_28): fresh28(p19(X), true, X) = p17(f15(f16(X)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(X))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))).
% 29.60/4.18 Axiom 26 (p3_29): fresh30(p18(f9(f10(f13(f11(f14(f12(c20)))), X), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(Y))), true, Y, X) = fresh14(p17(f15(f16(Y)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), X), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), true, Y, X).
% 29.60/4.18
% 29.60/4.18 Lemma 27: p7(X, X) = p19(c21).
% 29.60/4.18 Proof:
% 29.60/4.18 p7(X, X)
% 29.60/4.18 = { by axiom 4 (p7_4) }
% 29.60/4.18 true
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.18 p19(c21)
% 29.60/4.18
% 29.60/4.18 Lemma 28: p7(f15(f16(c21)), f15(f16(c22))) = p19(c21).
% 29.60/4.18 Proof:
% 29.60/4.18 p7(f15(f16(c21)), f15(f16(c22)))
% 29.60/4.18 = { by axiom 20 (p7_17) R->L }
% 29.60/4.18 fresh9(p7(f16(c21), f16(c22)), true, f16(c21), f16(c22))
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.18 fresh9(p7(f16(c21), f16(c22)), p19(c21), f16(c21), f16(c22))
% 29.60/4.18 = { by axiom 13 (p7_7) }
% 29.60/4.18 fresh9(true, p19(c21), f16(c21), f16(c22))
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.18 fresh9(p19(c21), p19(c21), f16(c21), f16(c22))
% 29.60/4.18 = { by axiom 11 (p7_17) }
% 29.60/4.18 true
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.18 p19(c21)
% 29.60/4.18
% 29.60/4.18 Goal 1 (not_p3_8): p3(f4(f6(c21)), f4(f6(c22))) = true.
% 29.60/4.18 Proof:
% 29.60/4.18 p3(f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 17 (p3_21) R->L }
% 29.60/4.18 fresh16(p19(c21), p19(c21), f4(f6(c21)), f4(f6(c22)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) }
% 29.60/4.18 fresh16(true, p19(c21), f4(f6(c21)), f4(f6(c22)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 3 (p3_6) R->L }
% 29.60/4.18 fresh16(p3(f4(f6(c22)), f4(f6(c22))), p19(c21), f4(f6(c21)), f4(f6(c22)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) }
% 29.60/4.18 fresh16(p3(f4(f6(c22)), f4(f6(c22))), true, f4(f6(c21)), f4(f6(c22)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 21 (p3_21) }
% 29.60/4.18 fresh15(p3(f4(f6(c22)), f4(f6(c21))), true, f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.18 fresh15(p3(f4(f6(c22)), f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 12 (p3_29) R->L }
% 29.60/4.18 fresh15(fresh14(p19(c21), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) }
% 29.60/4.18 fresh15(fresh14(true, p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 7 (p17_22) R->L }
% 29.60/4.18 fresh15(fresh14(fresh35(p19(c21), p19(c21), f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by lemma 28 R->L }
% 29.60/4.18 fresh15(fresh14(fresh35(p7(f15(f16(c21)), f15(f16(c22))), p19(c21), f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) }
% 29.60/4.18 fresh15(fresh14(fresh35(p7(f15(f16(c21)), f15(f16(c22))), true, f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 18 (p17_22) R->L }
% 29.60/4.18 fresh15(fresh14(fresh34(p19(c21), p19(c21), f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f15(f16(c21)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) }
% 29.60/4.18 fresh15(fresh14(fresh34(true, p19(c21), f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f15(f16(c21)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 5 (p17_28) R->L }
% 29.60/4.18 fresh15(fresh14(fresh34(fresh28(p19(c21), p19(c21), c21), p19(c21), f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f15(f16(c21)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) }
% 29.60/4.18 fresh15(fresh14(fresh34(fresh28(p19(c21), true, c21), p19(c21), f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f15(f16(c21)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 25 (p17_28) }
% 29.60/4.18 fresh15(fresh14(fresh34(p17(f15(f16(c21)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f15(f16(c21)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 1 (c21_is_p19_1) }
% 29.60/4.18 fresh15(fresh14(fresh34(p17(f15(f16(c21)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), true, f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f15(f16(c21)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.18 = { by axiom 22 (p17_22) }
% 29.60/4.19 fresh15(fresh14(fresh29(p7(f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), true, f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f15(f16(c21))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.19 fresh15(fresh14(fresh29(p7(f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f15(f16(c21))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by lemma 27 }
% 29.60/4.19 fresh15(fresh14(fresh29(p19(c21), p19(c21), f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), f15(f16(c21))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 15 (p17_22) }
% 29.60/4.19 fresh15(fresh14(p17(f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) }
% 29.60/4.19 fresh15(fresh14(p17(f15(f16(c22)), f8(f13(f11(f14(f12(c20)))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))), true, c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 26 (p3_29) R->L }
% 29.60/4.19 fresh15(fresh30(p18(f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22))), true, c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.19 fresh15(fresh30(p18(f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 16 (p18_23) R->L }
% 29.60/4.19 fresh15(fresh30(fresh27(p19(c21), p19(c21), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22)), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by lemma 28 R->L }
% 29.60/4.19 fresh15(fresh30(fresh27(p7(f15(f16(c21)), f15(f16(c22))), p19(c21), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22)), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) }
% 29.60/4.19 fresh15(fresh30(fresh27(p7(f15(f16(c21)), f15(f16(c22))), true, f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22)), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 23 (p18_23) R->L }
% 29.60/4.19 fresh15(fresh30(fresh32(p18(f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c21))), true, f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22)), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c21))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.19 fresh15(fresh30(fresh32(p18(f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c21))), p19(c21), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22)), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c21))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 24 (p18_27) R->L }
% 29.60/4.19 fresh15(fresh30(fresh32(fresh26(p19(c21), true, c21), p19(c21), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22)), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c21))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.19 fresh15(fresh30(fresh32(fresh26(p19(c21), p19(c21), c21), p19(c21), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22)), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c21))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 6 (p18_27) }
% 29.60/4.19 fresh15(fresh30(fresh32(true, p19(c21), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22)), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c21))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.19 fresh15(fresh30(fresh32(p19(c21), p19(c21), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22)), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c21))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 19 (p18_23) }
% 29.60/4.19 fresh15(fresh30(fresh33(p7(f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), true, f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.19 fresh15(fresh30(fresh33(p7(f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))), p19(c21), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by lemma 27 }
% 29.60/4.19 fresh15(fresh30(fresh33(p19(c21), p19(c21), f9(f10(f13(f11(f14(f12(c20)))), f4(f6(c21))), f10(f13(f11(f14(f12(c20)))), f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))), f15(f16(c22))), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 8 (p18_23) }
% 29.60/4.19 fresh15(fresh30(true, p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.19 fresh15(fresh30(p19(c21), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 14 (p3_29) }
% 29.60/4.19 fresh15(fresh31(p19(c22), true, c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.19 fresh15(fresh31(p19(c22), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 2 (c22_is_p19_2) }
% 29.60/4.19 fresh15(fresh31(true, p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.19 fresh15(fresh31(p19(c21), p19(c21), c22, f4(f6(c21))), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 9 (p3_29) }
% 29.60/4.19 fresh15(true, p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 1 (c21_is_p19_1) R->L }
% 29.60/4.19 fresh15(p19(c21), p19(c21), f4(f6(c21)), f4(f6(c22)))
% 29.60/4.19 = { by axiom 10 (p3_21) }
% 29.60/4.19 true
% 29.60/4.19 % SZS output end Proof
% 29.60/4.19
% 29.60/4.19 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------