TSTP Solution File: SYN597-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN597-1 : 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 : n011.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 5.02s 1.09s
% Output : Proof 5.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN597-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14 % 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 : n011.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 19:13:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.02/1.09 Command-line arguments: --flatten
% 5.02/1.09
% 5.02/1.09 % SZS status Unsatisfiable
% 5.02/1.09
% 5.84/1.14 % SZS output start Proof
% 5.84/1.14 Take the following subset of the input axioms:
% 5.84/1.14 fof(not_p18_22, negated_conjecture, ~p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))).
% 5.84/1.14 fof(p10_1, negated_conjecture, ![X0]: p10(X0, X0)).
% 5.84/1.14 fof(p10_28, negated_conjecture, ![X3, X4, X5, X6, X7, X8]: (p10(f11(X3, X4, X5), f11(X6, X7, X8)) | (~p2(X3, X6) | (~p9(X4, X7) | ~p10(X5, X8))))).
% 5.84/1.14 fof(p12_27, negated_conjecture, ![X12, X13, X14, X15]: (p12(f14(X12, X13), f14(X14, X15)) | (~p3(X12, X14) | ~p3(X13, X15)))).
% 5.84/1.14 fof(p16_6, negated_conjecture, p16(c21, c22)).
% 5.84/1.14 fof(p18_21, negated_conjecture, p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))).
% 5.84/1.14 fof(p18_24, negated_conjecture, ![X24, X25, X27, X26]: (p18(X24, X25) | (~p18(X27, X26) | (~p2(X27, X24) | ~p10(X26, X25))))).
% 5.84/1.14 fof(p2_26, negated_conjecture, ![X31, X32, X33, X34]: (p2(f13(X31, X32), f13(X33, X34)) | (~p12(X32, X34) | ~p3(X31, X33)))).
% 5.84/1.14 fof(p2_4, negated_conjecture, ![X28]: p2(X28, X28)).
% 5.84/1.14 fof(p3_3, negated_conjecture, ![X35]: p3(X35, X35)).
% 5.84/1.14 fof(p3_7, negated_conjecture, p3(c21, c22)).
% 5.84/1.14 fof(p9_2, negated_conjecture, ![X50]: p9(X50, X50)).
% 5.84/1.14
% 5.84/1.14 Now clausify the problem and encode Horn clauses using encoding 3 of
% 5.84/1.14 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 5.84/1.14 We repeatedly replace C & s=t => u=v by the two clauses:
% 5.84/1.14 fresh(y, y, x1...xn) = u
% 5.84/1.14 C => fresh(s, t, x1...xn) = v
% 5.84/1.14 where fresh is a fresh function symbol and x1..xn are the free
% 5.84/1.14 variables of u and v.
% 5.84/1.14 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 5.84/1.14 input problem has no model of domain size 1).
% 5.84/1.14
% 5.84/1.14 The encoding turns the above axioms into the following unit equations and goals:
% 5.84/1.14
% 5.84/1.14 Axiom 1 (p9_2): p9(X, X) = true.
% 5.84/1.14 Axiom 2 (p16_6): p16(c21, c22) = true.
% 5.84/1.14 Axiom 3 (p10_1): p10(X, X) = true.
% 5.84/1.14 Axiom 4 (p2_4): p2(X, X) = true.
% 5.84/1.14 Axiom 5 (p3_3): p3(X, X) = true.
% 5.84/1.14 Axiom 6 (p3_7): p3(c21, c22) = true.
% 5.84/1.14 Axiom 7 (p18_24): fresh30(X, X, Y, Z) = true.
% 5.84/1.14 Axiom 8 (p18_24): fresh15(X, X, Y, Z, W) = p18(Y, Z).
% 5.84/1.14 Axiom 9 (p18_24): fresh29(X, X, Y, Z, W, V) = fresh30(p10(V, Z), true, Y, Z).
% 5.84/1.14 Axiom 10 (p12_27): fresh18(X, X, Y, Z, W, V) = true.
% 5.84/1.14 Axiom 11 (p2_26): fresh11(X, X, Y, Z, W, V) = true.
% 5.84/1.14 Axiom 12 (p12_27): fresh19(X, X, Y, Z, W, V) = p12(f14(Y, Z), f14(W, V)).
% 5.84/1.14 Axiom 13 (p2_26): fresh12(X, X, Y, Z, W, V) = p2(f13(Y, Z), f13(W, V)).
% 5.84/1.14 Axiom 14 (p18_24): fresh29(p18(X, Y), true, Z, W, X, Y) = fresh15(p2(X, Z), true, Z, W, Y).
% 5.84/1.14 Axiom 15 (p10_28): fresh26(X, X, Y, Z, W, V, U, T) = true.
% 5.84/1.14 Axiom 16 (p12_27): fresh19(p3(X, Y), true, Z, X, W, Y) = fresh18(p3(Z, W), true, Z, X, W, Y).
% 5.84/1.14 Axiom 17 (p2_26): fresh12(p12(X, Y), true, Z, X, W, Y) = fresh11(p3(Z, W), true, Z, X, W, Y).
% 5.84/1.14 Axiom 18 (p10_28): fresh22(X, X, Y, Z, W, V, U, T) = p10(f11(Y, Z, W), f11(T, V, U)).
% 5.84/1.14 Axiom 19 (p10_28): fresh25(X, X, Y, Z, W, V, U, T) = fresh26(p10(W, U), true, Y, Z, W, V, U, T).
% 5.84/1.14 Axiom 20 (p10_28): fresh25(p2(X, Y), true, X, Z, W, V, U, Y) = fresh22(p9(Z, V), true, X, Z, W, V, U, Y).
% 5.84/1.14 Axiom 21 (p18_21): p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)) = true.
% 5.84/1.14
% 5.84/1.14 Lemma 22: p3(X, X) = p16(c21, c22).
% 5.84/1.14 Proof:
% 5.84/1.14 p3(X, X)
% 5.84/1.14 = { by axiom 5 (p3_3) }
% 5.84/1.14 true
% 5.84/1.14 = { by axiom 2 (p16_6) R->L }
% 5.84/1.14 p16(c21, c22)
% 5.84/1.14
% 5.84/1.14 Lemma 23: p3(c21, c22) = p16(c21, c22).
% 5.84/1.14 Proof:
% 5.84/1.14 p3(c21, c22)
% 5.84/1.14 = { by axiom 6 (p3_7) }
% 5.84/1.14 true
% 5.84/1.14 = { by axiom 2 (p16_6) R->L }
% 5.84/1.14 p16(c21, c22)
% 5.84/1.14
% 5.84/1.14 Goal 1 (not_p18_22): p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)) = true.
% 5.84/1.14 Proof:
% 5.84/1.14 p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.14 = { by axiom 8 (p18_24) R->L }
% 5.84/1.14 fresh15(p3(c21, c22), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.14 = { by lemma 23 }
% 5.84/1.14 fresh15(p16(c21, c22), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.14 = { by axiom 2 (p16_6) }
% 5.84/1.14 fresh15(true, p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.15 = { by axiom 4 (p2_4) R->L }
% 5.84/1.15 fresh15(p2(c20, c20), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.15 = { by lemma 23 }
% 5.84/1.15 fresh15(p2(c20, c20), p16(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.15 = { by axiom 2 (p16_6) }
% 5.84/1.15 fresh15(p2(c20, c20), true, c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.15 = { by axiom 14 (p18_24) R->L }
% 5.84/1.15 fresh29(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.15 = { by axiom 2 (p16_6) R->L }
% 5.84/1.15 fresh29(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), p16(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.15 = { by lemma 23 R->L }
% 5.84/1.15 fresh29(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.15 = { by axiom 21 (p18_21) }
% 5.84/1.15 fresh29(true, p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.15 = { by axiom 2 (p16_6) R->L }
% 5.84/1.15 fresh29(p16(c21, c22), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.15 = { by lemma 23 R->L }
% 5.84/1.15 fresh29(p3(c21, c22), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24))
% 5.84/1.15 = { by axiom 9 (p18_24) }
% 5.84/1.15 fresh30(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true, c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 2 (p16_6) R->L }
% 5.84/1.15 fresh30(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), p16(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by lemma 23 R->L }
% 5.84/1.15 fresh30(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 18 (p10_28) R->L }
% 5.84/1.15 fresh30(fresh22(p3(c21, c22), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by lemma 23 }
% 5.84/1.15 fresh30(fresh22(p16(c21, c22), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 2 (p16_6) }
% 5.84/1.15 fresh30(fresh22(true, p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 1 (p9_2) R->L }
% 5.84/1.15 fresh30(fresh22(p9(c23, c23), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by lemma 23 }
% 5.84/1.15 fresh30(fresh22(p9(c23, c23), p16(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 2 (p16_6) }
% 5.84/1.15 fresh30(fresh22(p9(c23, c23), true, f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 20 (p10_28) R->L }
% 5.84/1.15 fresh30(fresh25(p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true, f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 2 (p16_6) R->L }
% 5.84/1.15 fresh30(fresh25(p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), p16(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by lemma 23 R->L }
% 5.84/1.15 fresh30(fresh25(p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 13 (p2_26) R->L }
% 5.84/1.15 fresh30(fresh25(fresh12(p3(c21, c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by lemma 23 }
% 5.84/1.15 fresh30(fresh25(fresh12(p16(c21, c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 2 (p16_6) }
% 5.84/1.15 fresh30(fresh25(fresh12(true, p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 10 (p12_27) R->L }
% 5.84/1.15 fresh30(fresh25(fresh12(fresh18(p3(c21, c22), p3(c21, c22), f4(c20), c21, f4(c20), c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by lemma 23 }
% 5.84/1.15 fresh30(fresh25(fresh12(fresh18(p16(c21, c22), p3(c21, c22), f4(c20), c21, f4(c20), c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by lemma 22 R->L }
% 5.84/1.15 fresh30(fresh25(fresh12(fresh18(p3(f4(c20), f4(c20)), p3(c21, c22), f4(c20), c21, f4(c20), c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by lemma 23 }
% 5.84/1.15 fresh30(fresh25(fresh12(fresh18(p3(f4(c20), f4(c20)), p16(c21, c22), f4(c20), c21, f4(c20), c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 2 (p16_6) }
% 5.84/1.15 fresh30(fresh25(fresh12(fresh18(p3(f4(c20), f4(c20)), true, f4(c20), c21, f4(c20), c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 16 (p12_27) R->L }
% 5.84/1.15 fresh30(fresh25(fresh12(fresh19(p3(c21, c22), true, f4(c20), c21, f4(c20), c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 2 (p16_6) R->L }
% 5.84/1.15 fresh30(fresh25(fresh12(fresh19(p3(c21, c22), p16(c21, c22), f4(c20), c21, f4(c20), c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by lemma 23 R->L }
% 5.84/1.15 fresh30(fresh25(fresh12(fresh19(p3(c21, c22), p3(c21, c22), f4(c20), c21, f4(c20), c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.15 = { by axiom 12 (p12_27) }
% 5.84/1.15 fresh30(fresh25(fresh12(p12(f14(f4(c20), c21), f14(f4(c20), c22)), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by lemma 23 }
% 5.84/1.16 fresh30(fresh25(fresh12(p12(f14(f4(c20), c21), f14(f4(c20), c22)), p16(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 2 (p16_6) }
% 5.84/1.16 fresh30(fresh25(fresh12(p12(f14(f4(c20), c21), f14(f4(c20), c22)), true, f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 17 (p2_26) }
% 5.84/1.16 fresh30(fresh25(fresh11(p3(f15(c20), f15(c20)), true, f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 2 (p16_6) R->L }
% 5.84/1.16 fresh30(fresh25(fresh11(p3(f15(c20), f15(c20)), p16(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by lemma 23 R->L }
% 5.84/1.16 fresh30(fresh25(fresh11(p3(f15(c20), f15(c20)), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by lemma 22 }
% 5.84/1.16 fresh30(fresh25(fresh11(p16(c21, c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by lemma 23 R->L }
% 5.84/1.16 fresh30(fresh25(fresh11(p3(c21, c22), p3(c21, c22), f15(c20), f14(f4(c20), c21), f15(c20), f14(f4(c20), c22)), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 11 (p2_26) }
% 5.84/1.16 fresh30(fresh25(true, p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 2 (p16_6) R->L }
% 5.84/1.16 fresh30(fresh25(p16(c21, c22), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by lemma 23 R->L }
% 5.84/1.16 fresh30(fresh25(p3(c21, c22), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 19 (p10_28) }
% 5.84/1.16 fresh30(fresh26(p10(c24, c24), true, f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 2 (p16_6) R->L }
% 5.84/1.16 fresh30(fresh26(p10(c24, c24), p16(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by lemma 23 R->L }
% 5.84/1.16 fresh30(fresh26(p10(c24, c24), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 3 (p10_1) }
% 5.84/1.16 fresh30(fresh26(true, p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 2 (p16_6) R->L }
% 5.84/1.16 fresh30(fresh26(p16(c21, c22), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by lemma 23 R->L }
% 5.84/1.16 fresh30(fresh26(p3(c21, c22), p3(c21, c22), f13(f15(c20), f14(f4(c20), c21)), c23, c24, c23, c24, f13(f15(c20), f14(f4(c20), c22))), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 15 (p10_28) }
% 5.84/1.16 fresh30(true, p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 2 (p16_6) R->L }
% 5.84/1.16 fresh30(p16(c21, c22), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by lemma 23 R->L }
% 5.84/1.16 fresh30(p3(c21, c22), p3(c21, c22), c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 5.84/1.16 = { by axiom 7 (p18_24) }
% 5.84/1.16 true
% 5.84/1.16 % SZS output end Proof
% 5.84/1.16
% 5.84/1.16 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------