TSTP Solution File: SYN686-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN686-1 : 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 : n022.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 03:35:42 EDT 2023
% Result : Unsatisfiable 0.19s 0.71s
% Output : Proof 3.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN686-1 : 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 : n022.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 21:01:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.71 Command-line arguments: --flatten
% 0.19/0.71
% 0.19/0.71 % SZS status Unsatisfiable
% 0.19/0.71
% 0.19/0.80 % SZS output start Proof
% 0.19/0.80 Take the following subset of the input axioms:
% 0.19/0.80 fof(not_p30_22, negated_conjecture, ~p30(f10(f12(c39, f7(c33, c34)), c35), c41)).
% 0.19/0.80 fof(p11_1, negated_conjecture, ![X0]: p11(X0, X0)).
% 0.19/0.80 fof(p2_12, negated_conjecture, ![X27]: p2(X27, X27)).
% 0.19/0.80 fof(p30_21, negated_conjecture, p30(f10(f12(c39, c36), c37), c41)).
% 0.19/0.80 fof(p30_39, negated_conjecture, ![X68, X69, X71, X70]: (p30(X68, X69) | (~p4(X71, X69) | (~p9(X70, X68) | ~p30(X70, X71))))).
% 0.19/0.80 fof(p3_17, negated_conjecture, p3(c36, f7(c33, c34))).
% 0.19/0.80 fof(p3_18, negated_conjecture, p3(c42, f7(c33, c34))).
% 0.19/0.80 fof(p4_19, negated_conjecture, p4(f5(c32, c36), c37)).
% 0.19/0.80 fof(p4_20, negated_conjecture, p4(f5(c32, f7(c33, c34)), c35)).
% 0.19/0.80 fof(p4_27, negated_conjecture, ![X81, X82, X83]: (p4(X82, X83) | (~p4(X81, X82) | ~p4(X81, X83)))).
% 0.19/0.80 fof(p4_5, negated_conjecture, ![X81_2]: p4(X81_2, X81_2)).
% 0.19/0.80 fof(p4_50, negated_conjecture, ![X84, X85, X86, X87]: (p4(f5(X84, X85), f5(X86, X87)) | (~p2(X84, X86) | ~p3(X85, X87)))).
% 0.19/0.80 fof(p8_3, negated_conjecture, ![X91]: p8(X91, X91)).
% 0.19/0.80 fof(p8_51, negated_conjecture, ![X94, X95, X96, X97]: (p8(f12(X94, X95), f12(X96, X97)) | (~p11(X94, X96) | ~p3(X95, X97)))).
% 0.19/0.80 fof(p9_24, negated_conjecture, ![X102, X103, X104]: (p9(X103, X104) | (~p9(X102, X103) | ~p9(X102, X104)))).
% 0.19/0.80 fof(p9_41, negated_conjecture, ![X105, X106, X107, X108]: (p9(f10(X105, X106), f10(X107, X108)) | (~p4(X106, X108) | ~p8(X105, X107)))).
% 0.19/0.80
% 0.19/0.80 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.19/0.80 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.19/0.80 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.19/0.80 fresh(y, y, x1...xn) = u
% 0.19/0.80 C => fresh(s, t, x1...xn) = v
% 0.19/0.80 where fresh is a fresh function symbol and x1..xn are the free
% 0.19/0.80 variables of u and v.
% 0.19/0.80 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.19/0.80 input problem has no model of domain size 1).
% 0.19/0.80
% 0.19/0.80 The encoding turns the above axioms into the following unit equations and goals:
% 0.19/0.80
% 0.19/0.80 Axiom 1 (p11_1): p11(X, X) = true.
% 0.19/0.80 Axiom 2 (p8_3): p8(X, X) = true.
% 0.19/0.80 Axiom 3 (p2_12): p2(X, X) = true.
% 0.19/0.80 Axiom 4 (p4_5): p4(X, X) = true.
% 0.19/0.80 Axiom 5 (p30_39): fresh70(X, X, Y, Z) = true.
% 0.19/0.80 Axiom 6 (p4_27): fresh17(X, X, Y, Z) = true.
% 0.19/0.80 Axiom 7 (p9_24): fresh3(X, X, Y, Z) = true.
% 0.19/0.80 Axiom 8 (p3_18): p3(c42, f7(c33, c34)) = true.
% 0.19/0.80 Axiom 9 (p3_17): p3(c36, f7(c33, c34)) = true.
% 0.19/0.80 Axiom 10 (p4_19): p4(f5(c32, c36), c37) = true.
% 0.19/0.80 Axiom 11 (p30_39): fresh28(X, X, Y, Z, W) = p30(Y, Z).
% 0.19/0.80 Axiom 12 (p4_27): fresh18(X, X, Y, Z, W) = p4(Y, Z).
% 0.19/0.80 Axiom 13 (p9_24): fresh4(X, X, Y, Z, W) = p9(Y, Z).
% 0.19/0.80 Axiom 14 (p9_41): fresh(X, X, Y, Z, W, V) = true.
% 0.19/0.80 Axiom 15 (p30_39): fresh69(X, X, Y, Z, W, V) = fresh70(p9(V, Y), true, Y, Z).
% 0.19/0.80 Axiom 16 (p4_50): fresh15(X, X, Y, Z, W, V) = true.
% 0.19/0.80 Axiom 17 (p8_51): fresh7(X, X, Y, Z, W, V) = true.
% 0.19/0.80 Axiom 18 (p9_41): fresh2(X, X, Y, Z, W, V) = p9(f10(Y, Z), f10(W, V)).
% 0.19/0.80 Axiom 19 (p8_51): fresh8(X, X, Y, Z, W, V) = p8(f12(Y, Z), f12(W, V)).
% 0.19/0.80 Axiom 20 (p30_21): p30(f10(f12(c39, c36), c37), c41) = true.
% 0.19/0.80 Axiom 21 (p4_50): fresh16(X, X, Y, Z, W, V) = p4(f5(Y, Z), f5(W, V)).
% 0.19/0.80 Axiom 22 (p4_20): p4(f5(c32, f7(c33, c34)), c35) = true.
% 0.19/0.80 Axiom 23 (p4_27): fresh18(p4(X, Y), true, Z, Y, X) = fresh17(p4(X, Z), true, Z, Y).
% 0.19/0.80 Axiom 24 (p9_24): fresh4(p9(X, Y), true, Z, Y, X) = fresh3(p9(X, Z), true, Z, Y).
% 0.19/0.80 Axiom 25 (p30_39): fresh69(p30(X, Y), true, Z, W, Y, X) = fresh28(p4(Y, W), true, Z, W, X).
% 0.19/0.80 Axiom 26 (p4_50): fresh16(p2(X, Y), true, X, Z, Y, W) = fresh15(p3(Z, W), true, X, Z, Y, W).
% 0.19/0.80 Axiom 27 (p8_51): fresh8(p3(X, Y), true, Z, X, W, Y) = fresh7(p11(Z, W), true, Z, X, W, Y).
% 0.19/0.80 Axiom 28 (p9_41): fresh2(p4(X, Y), true, Z, X, W, Y) = fresh(p8(Z, W), true, Z, X, W, Y).
% 0.19/0.80
% 0.19/0.80 Lemma 29: p3(c36, f7(c33, c34)) = p3(c42, f7(c33, c34)).
% 0.19/0.80 Proof:
% 0.19/0.80 p3(c36, f7(c33, c34))
% 0.19/0.80 = { by axiom 9 (p3_17) }
% 0.19/0.80 true
% 0.19/0.80 = { by axiom 8 (p3_18) R->L }
% 0.19/0.80 p3(c42, f7(c33, c34))
% 0.19/0.80
% 0.19/0.80 Lemma 30: p4(f5(c32, c36), c37) = p3(c36, f7(c33, c34)).
% 0.19/0.80 Proof:
% 0.19/0.80 p4(f5(c32, c36), c37)
% 0.19/0.80 = { by axiom 10 (p4_19) }
% 0.19/0.80 true
% 0.19/0.80 = { by axiom 8 (p3_18) R->L }
% 0.19/0.80 p3(c42, f7(c33, c34))
% 0.19/0.80 = { by lemma 29 R->L }
% 0.19/0.80 p3(c36, f7(c33, c34))
% 0.19/0.80
% 0.19/0.80 Lemma 31: fresh(X, X, Y, Z, W, V) = p4(f5(c32, c36), c37).
% 0.19/0.80 Proof:
% 0.19/0.80 fresh(X, X, Y, Z, W, V)
% 0.19/0.80 = { by axiom 14 (p9_41) }
% 0.19/0.80 true
% 0.19/0.80 = { by axiom 8 (p3_18) R->L }
% 0.19/0.80 p3(c42, f7(c33, c34))
% 0.19/0.80 = { by lemma 29 R->L }
% 0.19/0.80 p3(c36, f7(c33, c34))
% 0.19/0.80 = { by lemma 30 R->L }
% 0.19/0.80 p4(f5(c32, c36), c37)
% 0.19/0.80
% 0.19/0.80 Lemma 32: fresh2(p4(X, Y), p4(f5(c32, c36), c37), Z, X, W, Y) = fresh(p8(Z, W), p4(f5(c32, c36), c37), Z, X, W, Y).
% 0.19/0.80 Proof:
% 0.19/0.80 fresh2(p4(X, Y), p4(f5(c32, c36), c37), Z, X, W, Y)
% 0.19/0.80 = { by lemma 30 }
% 0.19/0.80 fresh2(p4(X, Y), p3(c36, f7(c33, c34)), Z, X, W, Y)
% 0.19/0.80 = { by lemma 29 }
% 0.19/0.80 fresh2(p4(X, Y), p3(c42, f7(c33, c34)), Z, X, W, Y)
% 0.19/0.80 = { by axiom 8 (p3_18) }
% 0.19/0.80 fresh2(p4(X, Y), true, Z, X, W, Y)
% 0.19/0.80 = { by axiom 28 (p9_41) }
% 0.19/0.80 fresh(p8(Z, W), true, Z, X, W, Y)
% 0.19/0.80 = { by axiom 8 (p3_18) R->L }
% 0.19/0.80 fresh(p8(Z, W), p3(c42, f7(c33, c34)), Z, X, W, Y)
% 0.19/0.80 = { by lemma 29 R->L }
% 0.19/0.80 fresh(p8(Z, W), p3(c36, f7(c33, c34)), Z, X, W, Y)
% 0.19/0.80 = { by lemma 30 R->L }
% 0.19/0.80 fresh(p8(Z, W), p4(f5(c32, c36), c37), Z, X, W, Y)
% 0.19/0.80
% 0.19/0.80 Goal 1 (not_p30_22): p30(f10(f12(c39, f7(c33, c34)), c35), c41) = true.
% 0.19/0.80 Proof:
% 0.19/0.80 p30(f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.80 = { by axiom 11 (p30_39) R->L }
% 0.19/0.80 fresh28(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41, f10(f12(c39, c36), c37))
% 0.19/0.80 = { by lemma 30 }
% 0.19/0.80 fresh28(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41, f10(f12(c39, c36), c37))
% 0.19/0.80 = { by lemma 29 }
% 0.19/0.81 fresh28(p3(c42, f7(c33, c34)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by axiom 8 (p3_18) }
% 0.19/0.81 fresh28(true, p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by axiom 4 (p4_5) R->L }
% 0.19/0.81 fresh28(p4(c41, c41), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by lemma 30 }
% 0.19/0.81 fresh28(p4(c41, c41), p3(c36, f7(c33, c34)), f10(f12(c39, f7(c33, c34)), c35), c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by lemma 29 }
% 0.19/0.81 fresh28(p4(c41, c41), p3(c42, f7(c33, c34)), f10(f12(c39, f7(c33, c34)), c35), c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by axiom 8 (p3_18) }
% 0.19/0.81 fresh28(p4(c41, c41), true, f10(f12(c39, f7(c33, c34)), c35), c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by axiom 25 (p30_39) R->L }
% 0.19/0.81 fresh69(p30(f10(f12(c39, c36), c37), c41), true, f10(f12(c39, f7(c33, c34)), c35), c41, c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by axiom 8 (p3_18) R->L }
% 0.19/0.81 fresh69(p30(f10(f12(c39, c36), c37), c41), p3(c42, f7(c33, c34)), f10(f12(c39, f7(c33, c34)), c35), c41, c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by lemma 29 R->L }
% 0.19/0.81 fresh69(p30(f10(f12(c39, c36), c37), c41), p3(c36, f7(c33, c34)), f10(f12(c39, f7(c33, c34)), c35), c41, c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by lemma 30 R->L }
% 0.19/0.81 fresh69(p30(f10(f12(c39, c36), c37), c41), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41, c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by axiom 20 (p30_21) }
% 0.19/0.81 fresh69(true, p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41, c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by axiom 8 (p3_18) R->L }
% 0.19/0.81 fresh69(p3(c42, f7(c33, c34)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41, c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by lemma 29 R->L }
% 0.19/0.81 fresh69(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41, c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by lemma 30 R->L }
% 0.19/0.81 fresh69(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41, c41, f10(f12(c39, c36), c37))
% 0.19/0.81 = { by axiom 15 (p30_39) }
% 0.19/0.81 fresh70(p9(f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), true, f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 8 (p3_18) R->L }
% 0.19/0.81 fresh70(p9(f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p3(c42, f7(c33, c34)), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 29 R->L }
% 0.19/0.81 fresh70(p9(f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p3(c36, f7(c33, c34)), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 30 R->L }
% 0.19/0.81 fresh70(p9(f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 13 (p9_24) R->L }
% 0.19/0.81 fresh70(fresh4(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 31 R->L }
% 0.19/0.81 fresh70(fresh4(fresh(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 30 }
% 0.19/0.81 fresh70(fresh4(fresh(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 29 }
% 0.19/0.81 fresh70(fresh4(fresh(p3(c42, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 8 (p3_18) }
% 0.19/0.81 fresh70(fresh4(fresh(true, p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 17 (p8_51) R->L }
% 0.19/0.81 fresh70(fresh4(fresh(fresh7(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 30 }
% 0.19/0.81 fresh70(fresh4(fresh(fresh7(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 29 }
% 0.19/0.81 fresh70(fresh4(fresh(fresh7(p3(c42, f7(c33, c34)), p4(f5(c32, c36), c37), c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 8 (p3_18) }
% 0.19/0.81 fresh70(fresh4(fresh(fresh7(true, p4(f5(c32, c36), c37), c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 1 (p11_1) R->L }
% 0.19/0.81 fresh70(fresh4(fresh(fresh7(p11(c39, c39), p4(f5(c32, c36), c37), c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 30 }
% 0.19/0.81 fresh70(fresh4(fresh(fresh7(p11(c39, c39), p3(c36, f7(c33, c34)), c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 29 }
% 0.19/0.81 fresh70(fresh4(fresh(fresh7(p11(c39, c39), p3(c42, f7(c33, c34)), c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 8 (p3_18) }
% 0.19/0.81 fresh70(fresh4(fresh(fresh7(p11(c39, c39), true, c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 27 (p8_51) R->L }
% 0.19/0.81 fresh70(fresh4(fresh(fresh8(p3(c36, f7(c33, c34)), true, c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 8 (p3_18) R->L }
% 0.19/0.81 fresh70(fresh4(fresh(fresh8(p3(c36, f7(c33, c34)), p3(c42, f7(c33, c34)), c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 29 R->L }
% 0.19/0.81 fresh70(fresh4(fresh(fresh8(p3(c36, f7(c33, c34)), p3(c36, f7(c33, c34)), c39, c36, c39, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 19 (p8_51) }
% 0.19/0.81 fresh70(fresh4(fresh(p8(f12(c39, c36), f12(c39, f7(c33, c34))), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 32 R->L }
% 0.19/0.81 fresh70(fresh4(fresh2(p4(f5(c32, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 22 (p4_20) }
% 0.19/0.81 fresh70(fresh4(fresh2(true, p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 8 (p3_18) R->L }
% 0.19/0.81 fresh70(fresh4(fresh2(p3(c42, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 29 R->L }
% 0.19/0.81 fresh70(fresh4(fresh2(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 30 R->L }
% 0.19/0.81 fresh70(fresh4(fresh2(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, f7(c33, c34)), c35), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 18 (p9_41) }
% 0.19/0.81 fresh70(fresh4(p9(f10(f12(c39, c36), f5(c32, f7(c33, c34))), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 30 }
% 0.19/0.81 fresh70(fresh4(p9(f10(f12(c39, c36), f5(c32, f7(c33, c34))), f10(f12(c39, f7(c33, c34)), c35)), p3(c36, f7(c33, c34)), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by lemma 29 }
% 0.19/0.81 fresh70(fresh4(p9(f10(f12(c39, c36), f5(c32, f7(c33, c34))), f10(f12(c39, f7(c33, c34)), c35)), p3(c42, f7(c33, c34)), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 8 (p3_18) }
% 0.19/0.81 fresh70(fresh4(p9(f10(f12(c39, c36), f5(c32, f7(c33, c34))), f10(f12(c39, f7(c33, c34)), c35)), true, f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35), f10(f12(c39, c36), f5(c32, f7(c33, c34)))), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 24 (p9_24) }
% 0.19/0.81 fresh70(fresh3(p9(f10(f12(c39, c36), f5(c32, f7(c33, c34))), f10(f12(c39, c36), c37)), true, f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.81 = { by axiom 8 (p3_18) R->L }
% 0.19/0.82 fresh70(fresh3(p9(f10(f12(c39, c36), f5(c32, f7(c33, c34))), f10(f12(c39, c36), c37)), p3(c42, f7(c33, c34)), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 29 R->L }
% 0.19/0.82 fresh70(fresh3(p9(f10(f12(c39, c36), f5(c32, f7(c33, c34))), f10(f12(c39, c36), c37)), p3(c36, f7(c33, c34)), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 30 R->L }
% 0.19/0.82 fresh70(fresh3(p9(f10(f12(c39, c36), f5(c32, f7(c33, c34))), f10(f12(c39, c36), c37)), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 18 (p9_41) R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 30 }
% 0.19/0.82 fresh70(fresh3(fresh2(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 29 }
% 0.19/0.82 fresh70(fresh3(fresh2(p3(c42, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 8 (p3_18) }
% 0.19/0.82 fresh70(fresh3(fresh2(true, p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 6 (p4_27) R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 30 }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 29 }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(p3(c42, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 8 (p3_18) }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(true, p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 16 (p4_50) R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh15(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 30 }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh15(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 30 }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh15(p3(c36, f7(c33, c34)), p3(c36, f7(c33, c34)), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 29 }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh15(p3(c36, f7(c33, c34)), p3(c42, f7(c33, c34)), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 8 (p3_18) }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh15(p3(c36, f7(c33, c34)), true, c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 26 (p4_50) R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh16(p2(c32, c32), true, c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 8 (p3_18) R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh16(p2(c32, c32), p3(c42, f7(c33, c34)), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 29 R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh16(p2(c32, c32), p3(c36, f7(c33, c34)), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 30 R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh16(p2(c32, c32), p4(f5(c32, c36), c37), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 3 (p2_12) }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh16(true, p4(f5(c32, c36), c37), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 8 (p3_18) R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh16(p3(c42, f7(c33, c34)), p4(f5(c32, c36), c37), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 29 R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh16(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 30 R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(fresh16(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), c32, c36, c32, f7(c33, c34)), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 21 (p4_50) }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(p4(f5(c32, c36), f5(c32, f7(c33, c34))), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 30 }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(p4(f5(c32, c36), f5(c32, f7(c33, c34))), p3(c36, f7(c33, c34)), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 29 }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(p4(f5(c32, c36), f5(c32, f7(c33, c34))), p3(c42, f7(c33, c34)), f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 8 (p3_18) }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh17(p4(f5(c32, c36), f5(c32, f7(c33, c34))), true, f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 23 (p4_27) R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh18(p4(f5(c32, c36), c37), true, f5(c32, f7(c33, c34)), c37, f5(c32, c36)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by axiom 8 (p3_18) R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh18(p4(f5(c32, c36), c37), p3(c42, f7(c33, c34)), f5(c32, f7(c33, c34)), c37, f5(c32, c36)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 29 R->L }
% 0.19/0.82 fresh70(fresh3(fresh2(fresh18(p4(f5(c32, c36), c37), p3(c36, f7(c33, c34)), f5(c32, f7(c33, c34)), c37, f5(c32, c36)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 0.19/0.82 = { by lemma 30 R->L }
% 3.38/0.82 fresh70(fresh3(fresh2(fresh18(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f5(c32, f7(c33, c34)), c37, f5(c32, c36)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.82 = { by axiom 12 (p4_27) }
% 3.38/0.83 fresh70(fresh3(fresh2(p4(f5(c32, f7(c33, c34)), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by lemma 32 }
% 3.38/0.83 fresh70(fresh3(fresh(p8(f12(c39, c36), f12(c39, c36)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by axiom 2 (p8_3) }
% 3.38/0.83 fresh70(fresh3(fresh(true, p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by axiom 8 (p3_18) R->L }
% 3.38/0.83 fresh70(fresh3(fresh(p3(c42, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by lemma 29 R->L }
% 3.38/0.83 fresh70(fresh3(fresh(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by lemma 30 R->L }
% 3.38/0.83 fresh70(fresh3(fresh(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f12(c39, c36), f5(c32, f7(c33, c34)), f12(c39, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by lemma 31 }
% 3.38/0.83 fresh70(fresh3(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, c36), c37), f10(f12(c39, f7(c33, c34)), c35)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by axiom 7 (p9_24) }
% 3.38/0.83 fresh70(true, p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by axiom 8 (p3_18) R->L }
% 3.38/0.83 fresh70(p3(c42, f7(c33, c34)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by lemma 29 R->L }
% 3.38/0.83 fresh70(p3(c36, f7(c33, c34)), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by lemma 30 R->L }
% 3.38/0.83 fresh70(p4(f5(c32, c36), c37), p4(f5(c32, c36), c37), f10(f12(c39, f7(c33, c34)), c35), c41)
% 3.38/0.83 = { by axiom 5 (p30_39) }
% 3.38/0.83 true
% 3.38/0.83 % SZS output end Proof
% 3.38/0.83
% 3.38/0.83 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------