TSTP Solution File: SYN572-1 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN572-1 : 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 03:35:18 EDT 2023
% Result : Unsatisfiable 157.59s 20.71s
% Output : Proof 158.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.17 % Problem : SYN572-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.17 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.37 % CPULimit : 300
% 0.19/0.37 % WCLimit : 300
% 0.19/0.37 % DateTime : Sat Aug 26 20:48:55 EDT 2023
% 0.19/0.37 % CPUTime :
% 157.59/20.71 Command-line arguments: --ground-connectedness --complete-subsets
% 157.59/20.71
% 157.59/20.71 % SZS status Unsatisfiable
% 157.59/20.71
% 158.90/20.74 % SZS output start Proof
% 158.90/20.74 Take the following subset of the input axioms:
% 158.90/20.74 fof(not_p12_16, negated_conjecture, ~p12(f10(c14), f11(f10(f3(c14, c15)), f10(c15)))).
% 158.90/20.74 fof(p12_15, negated_conjecture, ![X4, X5]: p12(f10(f3(X4, X5)), f11(f10(X4), f10(X5)))).
% 158.90/20.74 fof(p12_18, negated_conjecture, ![X0, X1, X2, X3]: (p12(X0, X1) | (~p4(X2, X0) | (~p4(X3, X1) | ~p12(X2, X3))))).
% 158.90/20.74 fof(p2_1, negated_conjecture, ![X6]: p2(X6, X6)).
% 158.90/20.74 fof(p2_11, negated_conjecture, ![X14]: p2(f3(X14, f9(X14)), f5(f7(f8(c13))))).
% 158.90/20.74 fof(p2_12, negated_conjecture, ![X7, X8, X6_2]: (p2(X7, X8) | (~p2(X6_2, X7) | ~p2(X6_2, X8)))).
% 158.90/20.74 fof(p2_17, negated_conjecture, ![X15, X16, X17]: p2(f3(X15, f3(X16, X17)), f3(f3(X15, X16), X17))).
% 158.90/20.74 fof(p2_20, negated_conjecture, ![X9, X10, X11, X12]: (p2(f3(X9, X10), f3(X11, X12)) | (~p2(X9, X11) | ~p2(X10, X12)))).
% 158.90/20.74 fof(p2_5, negated_conjecture, ![X13]: p2(f3(X13, f5(f7(f8(c13)))), X13)).
% 158.90/20.74 fof(p2_8, negated_conjecture, ![X20, X21]: (p2(f9(X20), f9(X21)) | ~p2(X20, X21))).
% 158.90/20.74 fof(p4_14, negated_conjecture, ![X22, X23, X24]: (p4(X23, X24) | (~p4(X22, X23) | ~p4(X22, X24)))).
% 158.90/20.74 fof(p4_19, negated_conjecture, ![X28, X29, X30, X31]: (p4(f11(X28, X29), f11(X30, X31)) | (~p4(X28, X30) | ~p4(X29, X31)))).
% 158.90/20.74 fof(p4_3, negated_conjecture, ![X22_2]: p4(X22_2, X22_2)).
% 158.90/20.74 fof(p4_4, negated_conjecture, ![X27]: p4(f10(f9(X27)), f10(X27))).
% 158.90/20.74 fof(p4_9, negated_conjecture, ![X25, X26]: (p4(f10(X25), f10(X26)) | ~p2(X25, X26))).
% 158.90/20.74
% 158.90/20.74 Now clausify the problem and encode Horn clauses using encoding 3 of
% 158.90/20.74 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 158.90/20.74 We repeatedly replace C & s=t => u=v by the two clauses:
% 158.90/20.74 fresh(y, y, x1...xn) = u
% 158.90/20.74 C => fresh(s, t, x1...xn) = v
% 158.90/20.74 where fresh is a fresh function symbol and x1..xn are the free
% 158.90/20.74 variables of u and v.
% 158.90/20.74 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 158.90/20.74 input problem has no model of domain size 1).
% 158.90/20.74
% 158.90/20.74 The encoding turns the above axioms into the following unit equations and goals:
% 158.90/20.74
% 158.90/20.74 Axiom 1 (p4_3): p4(X, X) = true.
% 158.90/20.74 Axiom 2 (p2_1): p2(X, X) = true.
% 158.90/20.74 Axiom 3 (p12_18): fresh18(X, X, Y, Z) = true.
% 158.90/20.74 Axiom 4 (p2_12): fresh14(X, X, Y, Z) = true.
% 158.90/20.74 Axiom 5 (p2_8): fresh10(X, X, Y, Z) = true.
% 158.90/20.74 Axiom 6 (p4_14): fresh7(X, X, Y, Z) = true.
% 158.90/20.74 Axiom 7 (p4_9): fresh4(X, X, Y, Z) = true.
% 158.90/20.74 Axiom 8 (p12_18): fresh16(X, X, Y, Z, W) = p12(Y, Z).
% 158.90/20.74 Axiom 9 (p2_12): fresh15(X, X, Y, Z, W) = p2(Y, Z).
% 158.90/20.74 Axiom 10 (p4_14): fresh8(X, X, Y, Z, W) = p4(Y, Z).
% 158.90/20.74 Axiom 11 (p4_4): p4(f10(f9(X)), f10(X)) = true.
% 158.90/20.74 Axiom 12 (p12_18): fresh17(X, X, Y, Z, W, V) = fresh18(p4(W, Y), true, Y, Z).
% 158.90/20.74 Axiom 13 (p2_20): fresh12(X, X, Y, Z, W, V) = true.
% 158.90/20.74 Axiom 14 (p2_8): fresh10(p2(X, Y), true, X, Y) = p2(f9(X), f9(Y)).
% 158.90/20.74 Axiom 15 (p4_19): fresh5(X, X, Y, Z, W, V) = true.
% 158.90/20.74 Axiom 16 (p4_9): fresh4(p2(X, Y), true, X, Y) = p4(f10(X), f10(Y)).
% 158.90/20.74 Axiom 17 (p4_19): fresh6(X, X, Y, Z, W, V) = p4(f11(Y, Z), f11(W, V)).
% 158.90/20.74 Axiom 18 (p2_20): fresh13(X, X, Y, Z, W, V) = p2(f3(Y, Z), f3(W, V)).
% 158.90/20.74 Axiom 19 (p2_12): fresh15(p2(X, Y), true, Z, Y, X) = fresh14(p2(X, Z), true, Z, Y).
% 158.90/20.74 Axiom 20 (p4_14): fresh8(p4(X, Y), true, Z, Y, X) = fresh7(p4(X, Z), true, Z, Y).
% 158.90/20.74 Axiom 21 (p2_5): p2(f3(X, f5(f7(f8(c13)))), X) = true.
% 158.90/20.74 Axiom 22 (p12_18): fresh17(p12(X, Y), true, Z, W, X, Y) = fresh16(p4(Y, W), true, Z, W, X).
% 158.90/20.74 Axiom 23 (p2_20): fresh13(p2(X, Y), true, Z, X, W, Y) = fresh12(p2(Z, W), true, Z, X, W, Y).
% 158.90/20.74 Axiom 24 (p4_19): fresh6(p4(X, Y), true, Z, X, W, Y) = fresh5(p4(Z, W), true, Z, X, W, Y).
% 158.90/20.74 Axiom 25 (p2_11): p2(f3(X, f9(X)), f5(f7(f8(c13)))) = true.
% 158.90/20.74 Axiom 26 (p12_15): p12(f10(f3(X, Y)), f11(f10(X), f10(Y))) = true.
% 158.90/20.74 Axiom 27 (p2_17): p2(f3(X, f3(Y, Z)), f3(f3(X, Y), Z)) = true.
% 158.90/20.74
% 158.90/20.74 Lemma 28: fresh7(p4(f10(f9(X)), Y), true, Y, f10(X)) = p4(Y, f10(X)).
% 158.90/20.74 Proof:
% 158.90/20.74 fresh7(p4(f10(f9(X)), Y), true, Y, f10(X))
% 158.90/20.74 = { by axiom 20 (p4_14) R->L }
% 158.90/20.74 fresh8(p4(f10(f9(X)), f10(X)), true, Y, f10(X), f10(f9(X)))
% 158.90/20.74 = { by axiom 11 (p4_4) }
% 158.90/20.74 fresh8(true, true, Y, f10(X), f10(f9(X)))
% 158.90/20.74 = { by axiom 10 (p4_14) }
% 158.90/20.74 p4(Y, f10(X))
% 158.90/20.74
% 158.90/20.74 Lemma 29: fresh10(fresh13(X, X, Y, Z, W, V), true, f3(Y, Z), f3(W, V)) = p2(f9(f3(Y, Z)), f9(f3(W, V))).
% 158.90/20.74 Proof:
% 158.90/20.74 fresh10(fresh13(X, X, Y, Z, W, V), true, f3(Y, Z), f3(W, V))
% 158.90/20.74 = { by axiom 18 (p2_20) }
% 158.90/20.74 fresh10(p2(f3(Y, Z), f3(W, V)), true, f3(Y, Z), f3(W, V))
% 158.90/20.74 = { by axiom 14 (p2_8) }
% 158.90/20.74 p2(f9(f3(Y, Z)), f9(f3(W, V)))
% 158.90/20.74
% 158.90/20.74 Goal 1 (not_p12_16): p12(f10(c14), f11(f10(f3(c14, c15)), f10(c15))) = true.
% 158.90/20.74 Proof:
% 158.90/20.74 p12(f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.74 = { by axiom 8 (p12_18) R->L }
% 158.90/20.74 fresh16(true, true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)), f10(f3(f3(c14, c15), f9(c15))))
% 158.90/20.74 = { by axiom 15 (p4_19) R->L }
% 158.90/20.74 fresh16(fresh5(true, true, f10(f3(c14, c15)), f10(f9(c15)), f10(f3(c14, c15)), f10(c15)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)), f10(f3(f3(c14, c15), f9(c15))))
% 158.90/20.74 = { by axiom 1 (p4_3) R->L }
% 158.90/20.74 fresh16(fresh5(p4(f10(f3(c14, c15)), f10(f3(c14, c15))), true, f10(f3(c14, c15)), f10(f9(c15)), f10(f3(c14, c15)), f10(c15)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)), f10(f3(f3(c14, c15), f9(c15))))
% 158.90/20.74 = { by axiom 24 (p4_19) R->L }
% 158.90/20.74 fresh16(fresh6(p4(f10(f9(c15)), f10(c15)), true, f10(f3(c14, c15)), f10(f9(c15)), f10(f3(c14, c15)), f10(c15)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)), f10(f3(f3(c14, c15), f9(c15))))
% 158.90/20.74 = { by axiom 11 (p4_4) }
% 158.90/20.74 fresh16(fresh6(true, true, f10(f3(c14, c15)), f10(f9(c15)), f10(f3(c14, c15)), f10(c15)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)), f10(f3(f3(c14, c15), f9(c15))))
% 158.90/20.74 = { by axiom 17 (p4_19) }
% 158.90/20.74 fresh16(p4(f11(f10(f3(c14, c15)), f10(f9(c15))), f11(f10(f3(c14, c15)), f10(c15))), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)), f10(f3(f3(c14, c15), f9(c15))))
% 158.90/20.74 = { by axiom 22 (p12_18) R->L }
% 158.90/20.75 fresh17(p12(f10(f3(f3(c14, c15), f9(c15))), f11(f10(f3(c14, c15)), f10(f9(c15)))), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)), f10(f3(f3(c14, c15), f9(c15))), f11(f10(f3(c14, c15)), f10(f9(c15))))
% 158.90/20.75 = { by axiom 26 (p12_15) }
% 158.90/20.75 fresh17(true, true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)), f10(f3(f3(c14, c15), f9(c15))), f11(f10(f3(c14, c15)), f10(f9(c15))))
% 158.90/20.75 = { by axiom 12 (p12_18) }
% 158.90/20.75 fresh18(p4(f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by lemma 28 R->L }
% 158.90/20.75 fresh18(fresh7(p4(f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by lemma 28 R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(p4(f10(f9(f3(f3(c14, c15), f9(c15)))), f10(f9(c14))), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 16 (p4_9) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(p2(f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 9 (p2_12) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(true, true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 4 (p2_12) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(true, true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 5 (p2_8) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(fresh10(true, true, f3(c14, f5(f7(f8(c13)))), f3(c14, f3(c15, f9(c15)))), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 13 (p2_20) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(fresh10(fresh12(true, true, c14, f5(f7(f8(c13))), c14, f3(c15, f9(c15))), true, f3(c14, f5(f7(f8(c13)))), f3(c14, f3(c15, f9(c15)))), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 2 (p2_1) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(fresh10(fresh12(p2(c14, c14), true, c14, f5(f7(f8(c13))), c14, f3(c15, f9(c15))), true, f3(c14, f5(f7(f8(c13)))), f3(c14, f3(c15, f9(c15)))), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 23 (p2_20) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(fresh10(fresh13(p2(f5(f7(f8(c13))), f3(c15, f9(c15))), true, c14, f5(f7(f8(c13))), c14, f3(c15, f9(c15))), true, f3(c14, f5(f7(f8(c13)))), f3(c14, f3(c15, f9(c15)))), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 9 (p2_12) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(fresh10(fresh13(fresh15(true, true, f5(f7(f8(c13))), f3(c15, f9(c15)), f3(c15, f9(c15))), true, c14, f5(f7(f8(c13))), c14, f3(c15, f9(c15))), true, f3(c14, f5(f7(f8(c13)))), f3(c14, f3(c15, f9(c15)))), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 2 (p2_1) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(fresh10(fresh13(fresh15(p2(f3(c15, f9(c15)), f3(c15, f9(c15))), true, f5(f7(f8(c13))), f3(c15, f9(c15)), f3(c15, f9(c15))), true, c14, f5(f7(f8(c13))), c14, f3(c15, f9(c15))), true, f3(c14, f5(f7(f8(c13)))), f3(c14, f3(c15, f9(c15)))), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 19 (p2_12) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(fresh10(fresh13(fresh14(p2(f3(c15, f9(c15)), f5(f7(f8(c13)))), true, f5(f7(f8(c13))), f3(c15, f9(c15))), true, c14, f5(f7(f8(c13))), c14, f3(c15, f9(c15))), true, f3(c14, f5(f7(f8(c13)))), f3(c14, f3(c15, f9(c15)))), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 25 (p2_11) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(fresh10(fresh13(fresh14(true, true, f5(f7(f8(c13))), f3(c15, f9(c15))), true, c14, f5(f7(f8(c13))), c14, f3(c15, f9(c15))), true, f3(c14, f5(f7(f8(c13)))), f3(c14, f3(c15, f9(c15)))), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 4 (p2_12) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(fresh10(fresh13(true, true, c14, f5(f7(f8(c13))), c14, f3(c15, f9(c15))), true, f3(c14, f5(f7(f8(c13)))), f3(c14, f3(c15, f9(c15)))), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by lemma 29 }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh14(p2(f9(f3(c14, f5(f7(f8(c13))))), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 19 (p2_12) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh15(p2(f9(f3(c14, f5(f7(f8(c13))))), f9(c14)), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14), f9(f3(c14, f5(f7(f8(c13)))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 14 (p2_8) R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh15(fresh10(p2(f3(c14, f5(f7(f8(c13)))), c14), true, f3(c14, f5(f7(f8(c13)))), c14), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14), f9(f3(c14, f5(f7(f8(c13)))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 21 (p2_5) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh15(fresh10(true, true, f3(c14, f5(f7(f8(c13)))), c14), true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14), f9(f3(c14, f5(f7(f8(c13)))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 5 (p2_8) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(fresh15(true, true, f9(f3(c14, f3(c15, f9(c15)))), f9(c14), f9(f3(c14, f5(f7(f8(c13)))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 9 (p2_12) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh15(p2(f9(f3(c14, f3(c15, f9(c15)))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14), f9(f3(c14, f3(c15, f9(c15))))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 19 (p2_12) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh14(p2(f9(f3(c14, f3(c15, f9(c15)))), f9(f3(f3(c14, c15), f9(c15)))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by lemma 29 R->L }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh14(fresh10(fresh13(X, X, c14, f3(c15, f9(c15)), f3(c14, c15), f9(c15)), true, f3(c14, f3(c15, f9(c15))), f3(f3(c14, c15), f9(c15))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 18 (p2_20) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh14(fresh10(p2(f3(c14, f3(c15, f9(c15))), f3(f3(c14, c15), f9(c15))), true, f3(c14, f3(c15, f9(c15))), f3(f3(c14, c15), f9(c15))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 27 (p2_17) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh14(fresh10(true, true, f3(c14, f3(c15, f9(c15))), f3(f3(c14, c15), f9(c15))), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 5 (p2_8) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(fresh14(true, true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 4 (p2_12) }
% 158.90/20.75 fresh18(fresh7(fresh7(fresh4(true, true, f9(f3(f3(c14, c15), f9(c15))), f9(c14)), true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 7 (p4_9) }
% 158.90/20.75 fresh18(fresh7(fresh7(true, true, f10(f9(c14)), f10(f3(f3(c14, c15), f9(c15)))), true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 6 (p4_14) }
% 158.90/20.75 fresh18(fresh7(true, true, f10(f3(f3(c14, c15), f9(c15))), f10(c14)), true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 6 (p4_14) }
% 158.90/20.75 fresh18(true, true, f10(c14), f11(f10(f3(c14, c15)), f10(c15)))
% 158.90/20.75 = { by axiom 3 (p12_18) }
% 158.90/20.75 true
% 158.90/20.75 % SZS output end Proof
% 158.90/20.75
% 158.90/20.75 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------