TSTP Solution File: SYN617-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN617-1 : 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 : n008.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 03:35:27 EDT 2023
% Result : Unsatisfiable 0.19s 0.81s
% Output : Proof 2.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN617-1 : 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
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 20:14:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.81 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.19/0.81
% 0.19/0.81 % SZS status Unsatisfiable
% 0.19/0.81
% 2.83/0.83 % SZS output start Proof
% 2.83/0.83 Take the following subset of the input axioms:
% 2.83/0.83 fof(not_p13_32, negated_conjecture, ~p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))).
% 2.83/0.83 fof(p11_1, negated_conjecture, ![X0]: p11(X0, X0)).
% 2.83/0.83 fof(p11_7, negated_conjecture, ![X5, X6]: p11(f12(f14(X5, X6)), X6)).
% 2.83/0.83 fof(p13_19, negated_conjecture, ![X18, X19]: p13(f15(f3(X18), X19), f15(X18, f12(X19)))).
% 2.83/0.83 fof(p13_24, negated_conjecture, ![X11, X12, X13]: (p13(X12, X13) | (~p13(X11, X12) | ~p13(X11, X13)))).
% 2.83/0.83 fof(p13_28, negated_conjecture, ![X14, X15, X16, X17]: (p13(f15(X14, X15), f15(X16, X17)) | (~p11(X15, X17) | ~p2(X14, X16)))).
% 2.83/0.83 fof(p13_5, negated_conjecture, ![X11_2]: p13(X11_2, X11_2)).
% 2.83/0.83 fof(p19_6, negated_conjecture, p19(c21, c22)).
% 2.83/0.83 fof(p2_31, negated_conjecture, ![X36, X37]: (p2(f4(f4(f3(X36), f5(f6(c20))), X37), f3(f4(f4(X36, f5(f6(c20))), X37))) | ~p19(X37, X36))).
% 2.83/0.83 fof(p2_4, negated_conjecture, ![X27]: p2(X27, X27)).
% 2.83/0.83
% 2.83/0.83 Now clausify the problem and encode Horn clauses using encoding 3 of
% 2.83/0.83 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 2.83/0.83 We repeatedly replace C & s=t => u=v by the two clauses:
% 2.83/0.83 fresh(y, y, x1...xn) = u
% 2.83/0.83 C => fresh(s, t, x1...xn) = v
% 2.83/0.83 where fresh is a fresh function symbol and x1..xn are the free
% 2.83/0.83 variables of u and v.
% 2.83/0.83 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 2.83/0.83 input problem has no model of domain size 1).
% 2.83/0.83
% 2.83/0.83 The encoding turns the above axioms into the following unit equations and goals:
% 2.83/0.83
% 2.83/0.83 Axiom 1 (p2_4): p2(X, X) = true.
% 2.83/0.83 Axiom 2 (p11_1): p11(X, X) = true.
% 2.83/0.83 Axiom 3 (p13_5): p13(X, X) = true.
% 2.83/0.83 Axiom 4 (p19_6): p19(c21, c22) = true.
% 2.83/0.83 Axiom 5 (p13_24): fresh22(X, X, Y, Z) = true.
% 2.83/0.83 Axiom 6 (p2_31): fresh11(X, X, Y, Z) = true.
% 2.83/0.83 Axiom 7 (p11_7): p11(f12(f14(X, Y)), Y) = true.
% 2.83/0.83 Axiom 8 (p13_24): fresh23(X, X, Y, Z, W) = p13(Y, Z).
% 2.83/0.83 Axiom 9 (p13_28): fresh21(X, X, Y, Z, W, V) = p13(f15(Y, Z), f15(W, V)).
% 2.83/0.83 Axiom 10 (p13_28): fresh20(X, X, Y, Z, W, V) = true.
% 2.83/0.83 Axiom 11 (p13_24): fresh23(p13(X, Y), true, Z, Y, X) = fresh22(p13(X, Z), true, Z, Y).
% 2.83/0.83 Axiom 12 (p13_19): p13(f15(f3(X), Y), f15(X, f12(Y))) = true.
% 2.83/0.83 Axiom 13 (p13_28): fresh21(p2(X, Y), true, X, Z, Y, W) = fresh20(p11(Z, W), true, X, Z, Y, W).
% 2.83/0.83 Axiom 14 (p2_31): fresh11(p19(X, Y), true, Y, X) = p2(f4(f4(f3(Y), f5(f6(c20))), X), f3(f4(f4(Y, f5(f6(c20))), X))).
% 2.83/0.83
% 2.83/0.83 Lemma 15: fresh22(p13(X, Y), true, Y, X) = p13(Y, X).
% 2.83/0.83 Proof:
% 2.83/0.83 fresh22(p13(X, Y), true, Y, X)
% 2.83/0.83 = { by axiom 11 (p13_24) R->L }
% 2.83/0.83 fresh23(p13(X, X), true, Y, X, X)
% 2.83/0.83 = { by axiom 3 (p13_5) }
% 2.83/0.83 fresh23(true, true, Y, X, X)
% 2.83/0.83 = { by axiom 8 (p13_24) }
% 2.83/0.83 p13(Y, X)
% 2.83/0.83
% 2.83/0.83 Goal 1 (not_p13_32): p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)) = true.
% 2.83/0.83 Proof:
% 2.83/0.83 p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.83 = { by lemma 15 R->L }
% 2.83/0.83 fresh22(p13(f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.83 = { by axiom 8 (p13_24) R->L }
% 2.83/0.83 fresh22(fresh23(true, true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 5 (p13_24) R->L }
% 2.83/0.84 fresh22(fresh23(fresh22(true, true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 10 (p13_28) R->L }
% 2.83/0.84 fresh22(fresh23(fresh22(fresh20(true, true, f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24), f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 2 (p11_1) R->L }
% 2.83/0.84 fresh22(fresh23(fresh22(fresh20(p11(f14(c23, c24), f14(c23, c24)), true, f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24), f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 13 (p13_28) R->L }
% 2.83/0.84 fresh22(fresh23(fresh22(fresh21(p2(f4(f4(f3(c22), f5(f6(c20))), c21), f3(f4(f4(c22, f5(f6(c20))), c21))), true, f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24), f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 14 (p2_31) R->L }
% 2.83/0.84 fresh22(fresh23(fresh22(fresh21(fresh11(p19(c21, c22), true, c22, c21), true, f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24), f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 4 (p19_6) }
% 2.83/0.84 fresh22(fresh23(fresh22(fresh21(fresh11(true, true, c22, c21), true, f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24), f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 6 (p2_31) }
% 2.83/0.84 fresh22(fresh23(fresh22(fresh21(true, true, f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24), f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 9 (p13_28) }
% 2.83/0.84 fresh22(fresh23(fresh22(p13(f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by lemma 15 }
% 2.83/0.84 fresh22(fresh23(p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 11 (p13_24) }
% 2.83/0.84 fresh22(fresh22(p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 8 (p13_24) R->L }
% 2.83/0.84 fresh22(fresh22(fresh23(true, true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 10 (p13_28) R->L }
% 2.83/0.84 fresh22(fresh22(fresh23(fresh20(true, true, f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)), f4(f4(c22, f5(f6(c20))), c21), c24), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.84 = { by axiom 7 (p11_7) R->L }
% 2.83/0.84 fresh22(fresh22(fresh23(fresh20(p11(f12(f14(c23, c24)), c24), true, f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)), f4(f4(c22, f5(f6(c20))), c21), c24), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.85 = { by axiom 13 (p13_28) R->L }
% 2.83/0.85 fresh22(fresh22(fresh23(fresh21(p2(f4(f4(c22, f5(f6(c20))), c21), f4(f4(c22, f5(f6(c20))), c21)), true, f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)), f4(f4(c22, f5(f6(c20))), c21), c24), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.85 = { by axiom 1 (p2_4) }
% 2.83/0.85 fresh22(fresh22(fresh23(fresh21(true, true, f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)), f4(f4(c22, f5(f6(c20))), c21), c24), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.85 = { by axiom 9 (p13_28) }
% 2.83/0.85 fresh22(fresh22(fresh23(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)))), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.85 = { by axiom 11 (p13_24) }
% 2.83/0.85 fresh22(fresh22(fresh22(p13(f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.85 = { by lemma 15 R->L }
% 2.83/0.85 fresh22(fresh22(fresh22(fresh22(p13(f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24)))), true, f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.85 = { by axiom 12 (p13_19) }
% 2.83/0.85 fresh22(fresh22(fresh22(fresh22(true, true, f15(f4(f4(c22, f5(f6(c20))), c21), f12(f14(c23, c24))), f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24))), true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.85 = { by axiom 5 (p13_24) }
% 2.83/0.85 fresh22(fresh22(fresh22(true, true, f15(f3(f4(f4(c22, f5(f6(c20))), c21)), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24)), true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.85 = { by axiom 5 (p13_24) }
% 2.83/0.85 fresh22(fresh22(true, true, f15(f4(f4(c22, f5(f6(c20))), c21), c24), f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24))), true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.85 = { by axiom 5 (p13_24) }
% 2.83/0.85 fresh22(true, true, f15(f4(f4(f3(c22), f5(f6(c20))), c21), f14(c23, c24)), f15(f4(f4(c22, f5(f6(c20))), c21), c24))
% 2.83/0.85 = { by axiom 5 (p13_24) }
% 2.83/0.85 true
% 2.83/0.85 % SZS output end Proof
% 2.83/0.85
% 2.83/0.85 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------