TSTP Solution File: SYN603-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN603-1 : 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 : n025.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 03:35:24 EDT 2023
% Result : Unsatisfiable 15.58s 2.37s
% Output : Proof 15.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN603-1 : 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
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:50:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 15.58/2.37 Command-line arguments: --flatten
% 15.58/2.37
% 15.58/2.37 % SZS status Unsatisfiable
% 15.58/2.37
% 15.58/2.39 % SZS output start Proof
% 15.58/2.39 Take the following subset of the input axioms:
% 15.58/2.39 fof(c20_is_p14_1, negated_conjecture, p14(c20)).
% 15.58/2.39 fof(not_p15_26, negated_conjecture, ![X53, X54]: (~p15(X53, c21) | (~p2(X53, f9(c20, X54)) | ~p2(f7(f8(c21, X53), c20), f6(f5(f4(c16)), c17))))).
% 15.58/2.39 fof(p15_3, negated_conjecture, p15(c22, c21)).
% 15.58/2.39 fof(p2_14, negated_conjecture, ![X18, X19, X20]: (p2(X19, X20) | (~p2(X18, X19) | ~p2(X18, X20)))).
% 15.58/2.39 fof(p2_19, negated_conjecture, p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))).
% 15.58/2.39 fof(p2_2, negated_conjecture, ![X18_2]: p2(X18_2, X18_2)).
% 15.58/2.39 fof(p2_21, negated_conjecture, ![X37, X38, X39, X40]: (p2(f6(X37, X38), f6(X39, X40)) | (~p2(X37, X39) | ~p2(X38, X40)))).
% 15.58/2.39 fof(p2_4, negated_conjecture, p2(f3(c18), c19)).
% 15.58/2.39 fof(p2_5, negated_conjecture, p2(c22, f9(c20, c23))).
% 15.58/2.39 fof(p2_6, negated_conjecture, p2(f3(f4(c16)), c17)).
% 15.58/2.39
% 15.58/2.39 Now clausify the problem and encode Horn clauses using encoding 3 of
% 15.58/2.39 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 15.58/2.39 We repeatedly replace C & s=t => u=v by the two clauses:
% 15.58/2.39 fresh(y, y, x1...xn) = u
% 15.58/2.39 C => fresh(s, t, x1...xn) = v
% 15.58/2.39 where fresh is a fresh function symbol and x1..xn are the free
% 15.58/2.39 variables of u and v.
% 15.58/2.39 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 15.58/2.39 input problem has no model of domain size 1).
% 15.58/2.39
% 15.58/2.39 The encoding turns the above axioms into the following unit equations and goals:
% 15.58/2.39
% 15.58/2.39 Axiom 1 (c20_is_p14_1): p14(c20) = true2.
% 15.58/2.39 Axiom 2 (p15_3): p15(c22, c21) = true2.
% 15.58/2.39 Axiom 3 (p2_2): p2(X, X) = true2.
% 15.58/2.39 Axiom 4 (p2_4): p2(f3(c18), c19) = true2.
% 15.58/2.39 Axiom 5 (p2_14): fresh16(X, X, Y, Z) = true2.
% 15.58/2.39 Axiom 6 (p2_5): p2(c22, f9(c20, c23)) = true2.
% 15.58/2.39 Axiom 7 (p2_6): p2(f3(f4(c16)), c17) = true2.
% 15.58/2.39 Axiom 8 (p2_14): fresh17(X, X, Y, Z, W) = p2(Y, Z).
% 15.58/2.39 Axiom 9 (p2_21): fresh11(X, X, Y, Z, W, V) = true2.
% 15.58/2.39 Axiom 10 (p2_21): fresh12(X, X, Y, Z, W, V) = p2(f6(Y, Z), f6(W, V)).
% 15.58/2.39 Axiom 11 (p2_14): fresh17(p2(X, Y), true2, Z, Y, X) = fresh16(p2(X, Z), true2, Z, Y).
% 15.58/2.39 Axiom 12 (p2_21): fresh12(p2(X, Y), true2, Z, X, W, Y) = fresh11(p2(Z, W), true2, Z, X, W, Y).
% 15.58/2.39 Axiom 13 (p2_19): p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))) = true2.
% 15.58/2.39
% 15.58/2.39 Lemma 14: p2(X, X) = p14(c20).
% 15.58/2.39 Proof:
% 15.58/2.39 p2(X, X)
% 15.58/2.39 = { by axiom 3 (p2_2) }
% 15.58/2.39 true2
% 15.58/2.39 = { by axiom 1 (c20_is_p14_1) R->L }
% 15.58/2.39 p14(c20)
% 15.58/2.39
% 15.58/2.39 Lemma 15: p2(f3(c18), c19) = p14(c20).
% 15.58/2.39 Proof:
% 15.58/2.39 p2(f3(c18), c19)
% 15.58/2.39 = { by axiom 4 (p2_4) }
% 15.58/2.39 true2
% 15.58/2.39 = { by axiom 1 (c20_is_p14_1) R->L }
% 15.58/2.39 p14(c20)
% 15.58/2.39
% 15.58/2.39 Lemma 16: fresh16(X, X, Y, Z) = p2(f3(c18), c19).
% 15.58/2.39 Proof:
% 15.58/2.39 fresh16(X, X, Y, Z)
% 15.58/2.39 = { by axiom 5 (p2_14) }
% 15.58/2.39 true2
% 15.58/2.39 = { by axiom 1 (c20_is_p14_1) R->L }
% 15.58/2.39 p14(c20)
% 15.58/2.39 = { by lemma 15 R->L }
% 15.58/2.39 p2(f3(c18), c19)
% 15.58/2.39
% 15.58/2.39 Lemma 17: fresh17(p2(X, Y), p2(f3(c18), c19), Z, Y, X) = fresh16(p2(X, Z), p2(f3(c18), c19), Z, Y).
% 15.58/2.39 Proof:
% 15.58/2.39 fresh17(p2(X, Y), p2(f3(c18), c19), Z, Y, X)
% 15.58/2.39 = { by lemma 15 }
% 15.58/2.39 fresh17(p2(X, Y), p14(c20), Z, Y, X)
% 15.58/2.39 = { by axiom 1 (c20_is_p14_1) }
% 15.58/2.39 fresh17(p2(X, Y), true2, Z, Y, X)
% 15.58/2.39 = { by axiom 11 (p2_14) }
% 15.58/2.39 fresh16(p2(X, Z), true2, Z, Y)
% 15.58/2.39 = { by axiom 1 (c20_is_p14_1) R->L }
% 15.58/2.39 fresh16(p2(X, Z), p14(c20), Z, Y)
% 15.58/2.39 = { by lemma 15 R->L }
% 15.58/2.39 fresh16(p2(X, Z), p2(f3(c18), c19), Z, Y)
% 15.58/2.39
% 15.58/2.39 Lemma 18: p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))) = p2(f3(c18), c19).
% 15.58/2.39 Proof:
% 15.58/2.39 p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))
% 15.58/2.39 = { by axiom 13 (p2_19) }
% 15.58/2.39 true2
% 15.58/2.39 = { by axiom 1 (c20_is_p14_1) R->L }
% 15.58/2.39 p14(c20)
% 15.58/2.39 = { by lemma 15 R->L }
% 15.58/2.39 p2(f3(c18), c19)
% 15.58/2.39
% 15.58/2.39 Lemma 19: fresh16(p2(X, Y), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), Y, X) = p2(Y, X).
% 15.58/2.39 Proof:
% 15.58/2.39 fresh16(p2(X, Y), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), Y, X)
% 15.58/2.39 = { by lemma 18 }
% 15.58/2.39 fresh16(p2(X, Y), p2(f3(c18), c19), Y, X)
% 15.58/2.39 = { by lemma 17 R->L }
% 15.58/2.39 fresh17(p2(X, X), p2(f3(c18), c19), Y, X, X)
% 15.58/2.39 = { by lemma 14 }
% 15.58/2.39 fresh17(p14(c20), p2(f3(c18), c19), Y, X, X)
% 15.58/2.39 = { by lemma 15 R->L }
% 15.58/2.39 fresh17(p2(f3(c18), c19), p2(f3(c18), c19), Y, X, X)
% 15.58/2.39 = { by axiom 8 (p2_14) }
% 15.58/2.40 p2(Y, X)
% 15.58/2.40
% 15.58/2.40 Goal 1 (not_p15_26): tuple(p2(X, f9(c20, Y)), p2(f7(f8(c21, X), c20), f6(f5(f4(c16)), c17)), p15(X, c21)) = tuple(true2, true2, true2).
% 15.58/2.40 The goal is true when:
% 15.58/2.40 X = c22
% 15.58/2.40 Y = c23
% 15.58/2.40
% 15.58/2.40 Proof:
% 15.58/2.40 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p15(c22, c21))
% 15.58/2.40 = { by axiom 2 (p15_3) }
% 15.58/2.40 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), true2)
% 15.93/2.40 = { by axiom 1 (c20_is_p14_1) R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p14(c20))
% 15.93/2.40 = { by lemma 15 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f3(c18), c19))
% 15.93/2.40 = { by lemma 18 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 19 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(p2(f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 8 (p2_14) R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh17(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 18 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh17(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f3(c18), c19), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 18 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh17(p2(f3(c18), c19), p2(f3(c18), c19), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 16 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh17(fresh16(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), f3(f4(c16))), f7(f8(c21, c22), c20)), p2(f3(c18), c19), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 19 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh17(p2(f6(f5(f4(c16)), f3(f4(c16))), f7(f8(c21, c22), c20)), p2(f3(c18), c19), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 17 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f3(c18), c19), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 18 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 10 (p2_21) R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh12(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 18 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh12(p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 15 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh12(p14(c20), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 1 (c20_is_p14_1) }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh12(true2, p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 7 (p2_6) R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh12(p2(f3(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 18 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh12(p2(f3(f4(c16)), c17), p2(f3(c18), c19), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 15 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh12(p2(f3(f4(c16)), c17), p14(c20), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 1 (c20_is_p14_1) }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh12(p2(f3(f4(c16)), c17), true2, f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 12 (p2_21) }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh11(p2(f5(f4(c16)), f5(f4(c16))), true2, f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 1 (c20_is_p14_1) R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh11(p2(f5(f4(c16)), f5(f4(c16))), p14(c20), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 15 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh11(p2(f5(f4(c16)), f5(f4(c16))), p2(f3(c18), c19), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 14 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh11(p14(c20), p2(f3(c18), c19), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 15 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(fresh11(p2(f3(c18), c19), p2(f3(c18), c19), f5(f4(c16)), f3(f4(c16)), f5(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 9 (p2_21) }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(true2, p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 1 (c20_is_p14_1) R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(p14(c20), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 15 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 18 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(fresh16(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f6(f5(f4(c16)), c17), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 16 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 18 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), fresh16(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 16 }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 18 R->L }
% 15.93/2.40 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 6 (p2_5) }
% 15.93/2.40 tuple(true2, p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by axiom 1 (c20_is_p14_1) R->L }
% 15.93/2.40 tuple(p14(c20), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 15 R->L }
% 15.93/2.40 tuple(p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 18 R->L }
% 15.93/2.40 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.40 = { by lemma 18 }
% 15.93/2.41 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 15.93/2.41 = { by lemma 18 }
% 15.93/2.41 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f3(c18), c19), p2(f3(c18), c19))
% 15.93/2.41 = { by lemma 15 }
% 15.93/2.41 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p14(c20), p2(f3(c18), c19))
% 15.93/2.41 = { by lemma 15 }
% 15.93/2.41 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p14(c20), p14(c20))
% 15.93/2.41 = { by lemma 18 }
% 15.93/2.41 tuple(p2(f3(c18), c19), p14(c20), p14(c20))
% 15.93/2.41 = { by lemma 15 }
% 15.93/2.41 tuple(p14(c20), p14(c20), p14(c20))
% 15.93/2.41 = { by axiom 1 (c20_is_p14_1) }
% 15.93/2.41 tuple(true2, p14(c20), p14(c20))
% 15.93/2.41 = { by axiom 1 (c20_is_p14_1) }
% 15.93/2.41 tuple(true2, true2, p14(c20))
% 15.93/2.41 = { by axiom 1 (c20_is_p14_1) }
% 15.93/2.41 tuple(true2, true2, true2)
% 15.93/2.41 % SZS output end Proof
% 15.93/2.41
% 15.93/2.41 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------