TSTP Solution File: KRS116+1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n002.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 : Thu Aug 31 05:52:57 EDT 2023
% Result : Unsatisfiable 0.20s 0.47s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % 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 : n002.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 : Mon Aug 28 02:27:34 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.47 Command-line arguments: --no-flatten-goal
% 0.20/0.47
% 0.20/0.47 % SZS status Unsatisfiable
% 0.20/0.47
% 0.20/0.49 % SZS output start Proof
% 0.20/0.49 Take the following subset of the input axioms:
% 0.20/0.49 fof(axiom_0, axiom, ![X]: (cowlThing(X) & ~cowlNothing(X))).
% 0.20/0.49 fof(axiom_1, axiom, ![X2]: (xsd_string(X2) <=> ~xsd_integer(X2))).
% 0.20/0.49 fof(axiom_10, axiom, ![X2]: (ca_Vx5(X2) <=> ![Y]: (rr(X2, Y) => cc(Y)))).
% 0.20/0.50 fof(axiom_11, axiom, ![X2]: (ca_Vx6(X2) <=> ![Y2]: (rinvS(X2, Y2) => caxcomp(Y2)))).
% 0.20/0.50 fof(axiom_12, axiom, ![X2]: (ca_Vx7(X2) <=> ![Y2]: (rinvP(X2, Y2) => ca_Vx6(Y2)))).
% 0.20/0.50 fof(axiom_13, axiom, ![Y2, X2]: (rinvP(X2, Y2) <=> rp(Y2, X2))).
% 0.20/0.50 fof(axiom_14, axiom, ![Y2, X2]: (rinvR(X2, Y2) <=> rr(Y2, X2))).
% 0.20/0.50 fof(axiom_15, axiom, ![Y2, X2]: (rinvS(X2, Y2) <=> rs(Y2, X2))).
% 0.20/0.50 fof(axiom_17, axiom, cUnsatisfiable(i2003_11_14_17_21_33997)).
% 0.20/0.50 fof(axiom_2, axiom, ![X2]: (cUnsatisfiable(X2) => ca(X2))).
% 0.20/0.50 fof(axiom_3, axiom, ![X2]: (cUnsatisfiable(X2) => ?[Y2]: (rs(X2, Y2) & ca_Ax2(Y2)))).
% 0.20/0.50 fof(axiom_4, axiom, ![X2]: (ca(X2) <=> ~?[Y2]: ra_Px1(X2, Y2))).
% 0.20/0.50 fof(axiom_5, axiom, ![X2]: (caxcomp(X2) <=> ?[Y0]: ra_Px1(X2, Y0))).
% 0.20/0.50 fof(axiom_6, axiom, ![X2]: (cc(X2) <=> ![Y2]: (rinvR(X2, Y2) => ca_Vx7(Y2)))).
% 0.20/0.50 fof(axiom_7, axiom, ![X2]: (ca_Ax2(X2) <=> (![Y2]: (rp(X2, Y2) => ca_Vx3(Y2)) & (![Y2]: (rp(X2, Y2) => ca_Vx5(Y2)) & (![Y2]: (rr(X2, Y2) => cc(Y2)) & (?[Y2]: (rr(X2, Y2) & cowlThing(Y2)) & (?[Y2]: (rp(X2, Y2) & cowlThing(Y2)) & ![Y2]: (rp(X2, Y2) => ca_Vx4(Y2))))))))).
% 0.20/0.50 fof(axiom_8, axiom, ![X2]: (ca_Vx3(X2) <=> ?[Y2]: (rr(X2, Y2) & cowlThing(Y2)))).
% 0.20/0.50
% 0.20/0.50 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.20/0.50 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.20/0.50 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.20/0.50 fresh(y, y, x1...xn) = u
% 0.20/0.50 C => fresh(s, t, x1...xn) = v
% 0.20/0.50 where fresh is a fresh function symbol and x1..xn are the free
% 0.20/0.50 variables of u and v.
% 0.20/0.50 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.20/0.50 input problem has no model of domain size 1).
% 0.20/0.50
% 0.20/0.50 The encoding turns the above axioms into the following unit equations and goals:
% 0.20/0.50
% 0.20/0.50 Axiom 1 (axiom_17): cUnsatisfiable(i2003_11_14_17_21_33997) = true2.
% 0.20/0.50 Axiom 2 (axiom_10_2): fresh47(X, X, Y) = true2.
% 0.20/0.50 Axiom 3 (axiom_11_2): fresh44(X, X, Y) = true2.
% 0.20/0.50 Axiom 4 (axiom_12_1): fresh42(X, X, Y) = true2.
% 0.20/0.50 Axiom 5 (axiom_2): fresh32(X, X, Y) = true2.
% 0.20/0.50 Axiom 6 (axiom_3): fresh31(X, X, Y) = true2.
% 0.20/0.50 Axiom 7 (axiom_3_1): fresh30(X, X, Y) = true2.
% 0.20/0.50 Axiom 8 (axiom_5_1): fresh28(X, X, Y) = true2.
% 0.20/0.50 Axiom 9 (axiom_6_1): fresh26(X, X, Y) = true2.
% 0.20/0.50 Axiom 10 (axiom_7_6): fresh14(X, X, Y) = true2.
% 0.20/0.50 Axiom 11 (axiom_7_8): fresh11(X, X, Y) = true2.
% 0.20/0.50 Axiom 12 (axiom_7_9): fresh9(X, X, Y) = true2.
% 0.20/0.50 Axiom 13 (axiom_8_2): fresh5(X, X, Y) = true2.
% 0.20/0.50 Axiom 14 (axiom_10_2): fresh49(X, X, Y, Z) = cc(Z).
% 0.20/0.50 Axiom 15 (axiom_11_2): fresh45(X, X, Y, Z) = caxcomp(Z).
% 0.20/0.50 Axiom 16 (axiom_12_1): fresh43(X, X, Y, Z) = ca_Vx6(Z).
% 0.20/0.50 Axiom 17 (axiom_13): fresh40(X, X, Y, Z) = true2.
% 0.20/0.50 Axiom 18 (axiom_14_1): fresh37(X, X, Y, Z) = true2.
% 0.20/0.50 Axiom 19 (axiom_15): fresh36(X, X, Y, Z) = true2.
% 0.20/0.50 Axiom 20 (axiom_2): fresh32(cUnsatisfiable(X), true2, X) = ca(X).
% 0.20/0.50 Axiom 21 (axiom_3): fresh31(cUnsatisfiable(X), true2, X) = rs(X, y14(X)).
% 0.20/0.50 Axiom 22 (axiom_3_1): fresh30(cUnsatisfiable(X), true2, X) = ca_Ax2(y14(X)).
% 0.20/0.50 Axiom 23 (axiom_5_1): fresh28(caxcomp(X), true2, X) = ra_Px1(X, y0(X)).
% 0.20/0.50 Axiom 24 (axiom_6_1): fresh27(X, X, Y, Z) = ca_Vx7(Z).
% 0.20/0.50 Axiom 25 (axiom_7_6): fresh14(ca_Ax2(X), true2, X) = rp(X, y10(X)).
% 0.20/0.50 Axiom 26 (axiom_7_8): fresh12(X, X, Y, Z) = ca_Vx3(Z).
% 0.20/0.50 Axiom 27 (axiom_7_9): fresh10(X, X, Y, Z) = ca_Vx5(Z).
% 0.20/0.50 Axiom 28 (axiom_8_2): fresh5(ca_Vx3(X), true2, X) = rr(X, y5(X)).
% 0.20/0.50 Axiom 29 (axiom_10_2): fresh49(rr(X, Y), true2, X, Y) = fresh47(ca_Vx5(X), true2, Y).
% 0.20/0.50 Axiom 30 (axiom_11_2): fresh45(rinvS(X, Y), true2, X, Y) = fresh44(ca_Vx6(X), true2, Y).
% 0.20/0.50 Axiom 31 (axiom_12_1): fresh43(rinvP(X, Y), true2, X, Y) = fresh42(ca_Vx7(X), true2, Y).
% 0.20/0.50 Axiom 32 (axiom_13): fresh40(rp(X, Y), true2, Y, X) = rinvP(Y, X).
% 0.20/0.50 Axiom 33 (axiom_14_1): fresh37(rr(X, Y), true2, Y, X) = rinvR(Y, X).
% 0.20/0.50 Axiom 34 (axiom_15): fresh36(rs(X, Y), true2, Y, X) = rinvS(Y, X).
% 0.20/0.50 Axiom 35 (axiom_6_1): fresh27(rinvR(X, Y), true2, X, Y) = fresh26(cc(X), true2, Y).
% 0.20/0.50 Axiom 36 (axiom_7_8): fresh12(rp(X, Y), true2, X, Y) = fresh11(ca_Ax2(X), true2, Y).
% 0.20/0.50 Axiom 37 (axiom_7_9): fresh10(rp(X, Y), true2, X, Y) = fresh9(ca_Ax2(X), true2, Y).
% 0.20/0.50
% 0.20/0.50 Lemma 38: ca_Ax2(y14(i2003_11_14_17_21_33997)) = true2.
% 0.20/0.50 Proof:
% 0.20/0.50 ca_Ax2(y14(i2003_11_14_17_21_33997))
% 0.20/0.50 = { by axiom 22 (axiom_3_1) R->L }
% 0.20/0.50 fresh30(cUnsatisfiable(i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997)
% 0.20/0.50 = { by axiom 1 (axiom_17) }
% 0.20/0.50 fresh30(true2, true2, i2003_11_14_17_21_33997)
% 0.20/0.50 = { by axiom 7 (axiom_3_1) }
% 0.20/0.50 true2
% 0.20/0.50
% 0.20/0.50 Lemma 39: rp(y14(i2003_11_14_17_21_33997), y10(y14(i2003_11_14_17_21_33997))) = true2.
% 0.20/0.50 Proof:
% 0.20/0.50 rp(y14(i2003_11_14_17_21_33997), y10(y14(i2003_11_14_17_21_33997)))
% 0.20/0.50 = { by axiom 25 (axiom_7_6) R->L }
% 0.20/0.50 fresh14(ca_Ax2(y14(i2003_11_14_17_21_33997)), true2, y14(i2003_11_14_17_21_33997))
% 0.20/0.50 = { by lemma 38 }
% 0.20/0.50 fresh14(true2, true2, y14(i2003_11_14_17_21_33997))
% 0.20/0.50 = { by axiom 10 (axiom_7_6) }
% 0.20/0.50 true2
% 0.20/0.50
% 0.20/0.50 Lemma 40: rr(y10(y14(i2003_11_14_17_21_33997)), y5(y10(y14(i2003_11_14_17_21_33997)))) = true2.
% 0.20/0.50 Proof:
% 0.20/0.50 rr(y10(y14(i2003_11_14_17_21_33997)), y5(y10(y14(i2003_11_14_17_21_33997))))
% 0.20/0.50 = { by axiom 28 (axiom_8_2) R->L }
% 0.20/0.50 fresh5(ca_Vx3(y10(y14(i2003_11_14_17_21_33997))), true2, y10(y14(i2003_11_14_17_21_33997)))
% 0.20/0.50 = { by axiom 26 (axiom_7_8) R->L }
% 0.20/0.50 fresh5(fresh12(true2, true2, y14(i2003_11_14_17_21_33997), y10(y14(i2003_11_14_17_21_33997))), true2, y10(y14(i2003_11_14_17_21_33997)))
% 0.20/0.50 = { by lemma 39 R->L }
% 0.20/0.50 fresh5(fresh12(rp(y14(i2003_11_14_17_21_33997), y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997), y10(y14(i2003_11_14_17_21_33997))), true2, y10(y14(i2003_11_14_17_21_33997)))
% 0.20/0.50 = { by axiom 36 (axiom_7_8) }
% 0.20/0.50 fresh5(fresh11(ca_Ax2(y14(i2003_11_14_17_21_33997)), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y10(y14(i2003_11_14_17_21_33997)))
% 0.20/0.50 = { by lemma 38 }
% 0.20/0.50 fresh5(fresh11(true2, true2, y10(y14(i2003_11_14_17_21_33997))), true2, y10(y14(i2003_11_14_17_21_33997)))
% 0.20/0.50 = { by axiom 11 (axiom_7_8) }
% 0.20/0.50 fresh5(true2, true2, y10(y14(i2003_11_14_17_21_33997)))
% 0.20/0.50 = { by axiom 13 (axiom_8_2) }
% 0.20/0.50 true2
% 0.20/0.50
% 0.20/0.50 Goal 1 (axiom_4_1): tuple2(ca(X), ra_Px1(X, Y)) = tuple2(true2, true2).
% 0.20/0.50 The goal is true when:
% 0.20/0.50 X = i2003_11_14_17_21_33997
% 0.20/0.50 Y = y0(i2003_11_14_17_21_33997)
% 0.20/0.50
% 0.20/0.50 Proof:
% 0.20/0.50 tuple2(ca(i2003_11_14_17_21_33997), ra_Px1(i2003_11_14_17_21_33997, y0(i2003_11_14_17_21_33997)))
% 0.20/0.50 = { by axiom 23 (axiom_5_1) R->L }
% 0.20/0.50 tuple2(ca(i2003_11_14_17_21_33997), fresh28(caxcomp(i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.50 = { by axiom 15 (axiom_11_2) R->L }
% 0.20/0.50 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh45(true2, true2, y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.50 = { by axiom 19 (axiom_15) R->L }
% 0.20/0.50 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh45(fresh36(true2, true2, y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.50 = { by axiom 6 (axiom_3) R->L }
% 0.20/0.50 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh45(fresh36(fresh31(true2, true2, i2003_11_14_17_21_33997), true2, y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.50 = { by axiom 1 (axiom_17) R->L }
% 0.20/0.50 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh45(fresh36(fresh31(cUnsatisfiable(i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997), true2, y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.50 = { by axiom 21 (axiom_3) }
% 0.20/0.50 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh45(fresh36(rs(i2003_11_14_17_21_33997, y14(i2003_11_14_17_21_33997)), true2, y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.50 = { by axiom 34 (axiom_15) }
% 0.20/0.50 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh45(rinvS(y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, y14(i2003_11_14_17_21_33997), i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.50 = { by axiom 30 (axiom_11_2) }
% 0.20/0.50 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(ca_Vx6(y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.50 = { by axiom 16 (axiom_12_1) R->L }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh43(true2, true2, y10(y14(i2003_11_14_17_21_33997)), y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 17 (axiom_13) R->L }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh43(fresh40(true2, true2, y10(y14(i2003_11_14_17_21_33997)), y14(i2003_11_14_17_21_33997)), true2, y10(y14(i2003_11_14_17_21_33997)), y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by lemma 39 R->L }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh43(fresh40(rp(y14(i2003_11_14_17_21_33997), y10(y14(i2003_11_14_17_21_33997))), true2, y10(y14(i2003_11_14_17_21_33997)), y14(i2003_11_14_17_21_33997)), true2, y10(y14(i2003_11_14_17_21_33997)), y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 32 (axiom_13) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh43(rinvP(y10(y14(i2003_11_14_17_21_33997)), y14(i2003_11_14_17_21_33997)), true2, y10(y14(i2003_11_14_17_21_33997)), y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 31 (axiom_12_1) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(ca_Vx7(y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 24 (axiom_6_1) R->L }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh27(true2, true2, y5(y10(y14(i2003_11_14_17_21_33997))), y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 18 (axiom_14_1) R->L }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh27(fresh37(true2, true2, y5(y10(y14(i2003_11_14_17_21_33997))), y10(y14(i2003_11_14_17_21_33997))), true2, y5(y10(y14(i2003_11_14_17_21_33997))), y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by lemma 40 R->L }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh27(fresh37(rr(y10(y14(i2003_11_14_17_21_33997)), y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y5(y10(y14(i2003_11_14_17_21_33997))), y10(y14(i2003_11_14_17_21_33997))), true2, y5(y10(y14(i2003_11_14_17_21_33997))), y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 33 (axiom_14_1) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh27(rinvR(y5(y10(y14(i2003_11_14_17_21_33997))), y10(y14(i2003_11_14_17_21_33997))), true2, y5(y10(y14(i2003_11_14_17_21_33997))), y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 35 (axiom_6_1) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh26(cc(y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 14 (axiom_10_2) R->L }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh26(fresh49(true2, true2, y10(y14(i2003_11_14_17_21_33997)), y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by lemma 40 R->L }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh26(fresh49(rr(y10(y14(i2003_11_14_17_21_33997)), y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y10(y14(i2003_11_14_17_21_33997)), y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 29 (axiom_10_2) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh26(fresh47(ca_Vx5(y10(y14(i2003_11_14_17_21_33997))), true2, y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 27 (axiom_7_9) R->L }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh26(fresh47(fresh10(true2, true2, y14(i2003_11_14_17_21_33997), y10(y14(i2003_11_14_17_21_33997))), true2, y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by lemma 39 R->L }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh26(fresh47(fresh10(rp(y14(i2003_11_14_17_21_33997), y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997), y10(y14(i2003_11_14_17_21_33997))), true2, y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 37 (axiom_7_9) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh26(fresh47(fresh9(ca_Ax2(y14(i2003_11_14_17_21_33997)), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by lemma 38 }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh26(fresh47(fresh9(true2, true2, y10(y14(i2003_11_14_17_21_33997))), true2, y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 12 (axiom_7_9) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh26(fresh47(true2, true2, y5(y10(y14(i2003_11_14_17_21_33997)))), true2, y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 2 (axiom_10_2) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(fresh26(true2, true2, y10(y14(i2003_11_14_17_21_33997))), true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 9 (axiom_6_1) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(fresh42(true2, true2, y14(i2003_11_14_17_21_33997)), true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 4 (axiom_12_1) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(fresh44(true2, true2, i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 3 (axiom_11_2) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), fresh28(true2, true2, i2003_11_14_17_21_33997))
% 0.20/0.51 = { by axiom 8 (axiom_5_1) }
% 0.20/0.51 tuple2(ca(i2003_11_14_17_21_33997), true2)
% 0.20/0.51 = { by axiom 20 (axiom_2) R->L }
% 0.20/0.51 tuple2(fresh32(cUnsatisfiable(i2003_11_14_17_21_33997), true2, i2003_11_14_17_21_33997), true2)
% 0.20/0.51 = { by axiom 1 (axiom_17) }
% 0.20/0.51 tuple2(fresh32(true2, true2, i2003_11_14_17_21_33997), true2)
% 0.20/0.51 = { by axiom 5 (axiom_2) }
% 0.20/0.51 tuple2(true2, true2)
% 0.20/0.51 % SZS output end Proof
% 0.20/0.51
% 0.20/0.51 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------