TSTP Solution File: KRS082+1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : KRS082+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 : n004.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 05:52:50 EDT 2023
% Result : Unsatisfiable 0.20s 0.44s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 02:13:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.44 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.20/0.44
% 0.20/0.44 % SZS status Unsatisfiable
% 0.20/0.44
% 0.20/0.45 % SZS output start Proof
% 0.20/0.45 Take the following subset of the input axioms:
% 0.20/0.45 fof(axiom_0, axiom, ![X]: (cowlThing(X) & ~cowlNothing(X))).
% 0.20/0.45 fof(axiom_1, axiom, ![X2]: (xsd_string(X2) <=> ~xsd_integer(X2))).
% 0.20/0.45 fof(axiom_2, axiom, ![X2]: (cUnsatisfiable(X2) => ?[Y]: (rs(X2, Y) & (?[Z]: (rp(Y, Z) & cowlThing(Z)) & (![Z2]: (rr(Y, Z2) => cc(Z2)) & (![Z2]: (rp(Y, Z2) => ?[W]: (rr(Z2, W) & cowlThing(W))) & (![Z2]: (rp(Y, Z2) => ?[W2]: (rp(Z2, W2) & cowlThing(W2))) & (![Z2]: (rp(Y, Z2) => ![W2]: (rr(Z2, W2) => cc(W2))) & ?[Z2]: (rr(Y, Z2) & cowlThing(Z2)))))))))).
% 0.20/0.45 fof(axiom_3, axiom, ![X2]: (cUnsatisfiable(X2) => ca(X2))).
% 0.20/0.45 fof(axiom_4, axiom, ![X2]: (cc(X2) <=> ![Y2]: (rinvR(X2, Y2) => ![Z2]: (rinvP(Y2, Z2) => ![W2]: (rinvS(Z2, W2) => ~ca(W2)))))).
% 0.20/0.45 fof(axiom_5, axiom, ![X2, Y2]: (rinvP(X2, Y2) <=> rp(Y2, X2))).
% 0.20/0.45 fof(axiom_6, axiom, ![X2, Y2]: (rinvR(X2, Y2) <=> rr(Y2, X2))).
% 0.20/0.45 fof(axiom_7, axiom, ![X2, Y2]: (rinvS(X2, Y2) <=> rs(Y2, X2))).
% 0.20/0.45 fof(axiom_8, axiom, ![X2, Y2, Z2]: ((rp(X2, Y2) & rp(Y2, Z2)) => rp(X2, Z2))).
% 0.20/0.45 fof(axiom_9, axiom, cUnsatisfiable(i2003_11_14_17_19_28752)).
% 0.20/0.45
% 0.20/0.45 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.20/0.45 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.20/0.45 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.20/0.45 fresh(y, y, x1...xn) = u
% 0.20/0.45 C => fresh(s, t, x1...xn) = v
% 0.20/0.45 where fresh is a fresh function symbol and x1..xn are the free
% 0.20/0.45 variables of u and v.
% 0.20/0.45 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.20/0.45 input problem has no model of domain size 1).
% 0.20/0.45
% 0.20/0.45 The encoding turns the above axioms into the following unit equations and goals:
% 0.20/0.45
% 0.20/0.45 Axiom 1 (axiom_9): cUnsatisfiable(i2003_11_14_17_19_28752) = true2.
% 0.20/0.45 Axiom 2 (axiom_2_9): fresh27(X, X, Y) = true2.
% 0.20/0.45 Axiom 3 (axiom_2_2): fresh21(X, X, Y) = true2.
% 0.20/0.45 Axiom 4 (axiom_2_3): fresh20(X, X, Y) = true2.
% 0.20/0.45 Axiom 5 (axiom_2_6): fresh15(X, X, Y) = true2.
% 0.20/0.45 Axiom 6 (axiom_2_8): fresh11(X, X, Y) = true2.
% 0.20/0.45 Axiom 7 (axiom_3): fresh9(X, X, Y) = true2.
% 0.20/0.45 Axiom 8 (axiom_8): fresh(X, X, Y, Z) = true2.
% 0.20/0.45 Axiom 9 (axiom_2_2): fresh21(cUnsatisfiable(X), true2, X) = rs(X, y2(X)).
% 0.20/0.45 Axiom 10 (axiom_2_3): fresh20(cUnsatisfiable(X), true2, X) = rp(y2(X), z3(X)).
% 0.20/0.45 Axiom 11 (axiom_2_6): fresh16(X, X, Y, Z) = rr(Z, w3(Z)).
% 0.20/0.45 Axiom 12 (axiom_2_8): fresh12(X, X, Y, Z) = rp(Z, w2(Z)).
% 0.20/0.45 Axiom 13 (axiom_2_9): fresh10(X, X, Y, Z) = cc(Z).
% 0.20/0.45 Axiom 14 (axiom_3): fresh9(cUnsatisfiable(X), true2, X) = ca(X).
% 0.20/0.45 Axiom 15 (axiom_5): fresh8(X, X, Y, Z) = true2.
% 0.20/0.45 Axiom 16 (axiom_6): fresh6(X, X, Y, Z) = true2.
% 0.20/0.45 Axiom 17 (axiom_7): fresh4(X, X, Y, Z) = true2.
% 0.20/0.45 Axiom 18 (axiom_2_9): fresh26(X, X, Y, Z, W) = fresh27(cUnsatisfiable(Y), true2, W).
% 0.20/0.45 Axiom 19 (axiom_8): fresh2(X, X, Y, Z, W) = rp(Y, W).
% 0.20/0.45 Axiom 20 (axiom_5): fresh8(rp(X, Y), true2, Y, X) = rinvP(Y, X).
% 0.20/0.45 Axiom 21 (axiom_6): fresh6(rr(X, Y), true2, Y, X) = rinvR(Y, X).
% 0.20/0.45 Axiom 22 (axiom_7): fresh4(rs(X, Y), true2, Y, X) = rinvS(Y, X).
% 0.20/0.45 Axiom 23 (axiom_2_6): fresh16(rp(y2(X), Y), true2, X, Y) = fresh15(cUnsatisfiable(X), true2, Y).
% 0.20/0.45 Axiom 24 (axiom_2_8): fresh12(rp(y2(X), Y), true2, X, Y) = fresh11(cUnsatisfiable(X), true2, Y).
% 0.20/0.45 Axiom 25 (axiom_2_9): fresh26(rr(X, Y), true2, Z, X, Y) = fresh10(rp(y2(Z), X), true2, Z, Y).
% 0.20/0.45 Axiom 26 (axiom_8): fresh2(rp(X, Y), true2, Z, X, Y) = fresh(rp(Z, X), true2, Z, Y).
% 0.20/0.45
% 0.20/0.45 Lemma 27: rp(y2(i2003_11_14_17_19_28752), z3(i2003_11_14_17_19_28752)) = true2.
% 0.20/0.45 Proof:
% 0.20/0.45 rp(y2(i2003_11_14_17_19_28752), z3(i2003_11_14_17_19_28752))
% 0.20/0.45 = { by axiom 10 (axiom_2_3) R->L }
% 0.20/0.45 fresh20(cUnsatisfiable(i2003_11_14_17_19_28752), true2, i2003_11_14_17_19_28752)
% 0.20/0.45 = { by axiom 1 (axiom_9) }
% 0.20/0.45 fresh20(true2, true2, i2003_11_14_17_19_28752)
% 0.20/0.45 = { by axiom 4 (axiom_2_3) }
% 0.20/0.45 true2
% 0.20/0.45
% 0.20/0.45 Lemma 28: rp(y2(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752))) = true2.
% 0.20/0.45 Proof:
% 0.20/0.45 rp(y2(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.45 = { by axiom 19 (axiom_8) R->L }
% 0.20/0.45 fresh2(true2, true2, y2(i2003_11_14_17_19_28752), z3(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.45 = { by axiom 6 (axiom_2_8) R->L }
% 0.20/0.45 fresh2(fresh11(true2, true2, z3(i2003_11_14_17_19_28752)), true2, y2(i2003_11_14_17_19_28752), z3(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.45 = { by axiom 1 (axiom_9) R->L }
% 0.20/0.45 fresh2(fresh11(cUnsatisfiable(i2003_11_14_17_19_28752), true2, z3(i2003_11_14_17_19_28752)), true2, y2(i2003_11_14_17_19_28752), z3(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.45 = { by axiom 24 (axiom_2_8) R->L }
% 0.20/0.46 fresh2(fresh12(rp(y2(i2003_11_14_17_19_28752), z3(i2003_11_14_17_19_28752)), true2, i2003_11_14_17_19_28752, z3(i2003_11_14_17_19_28752)), true2, y2(i2003_11_14_17_19_28752), z3(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 = { by lemma 27 }
% 0.20/0.46 fresh2(fresh12(true2, true2, i2003_11_14_17_19_28752, z3(i2003_11_14_17_19_28752)), true2, y2(i2003_11_14_17_19_28752), z3(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 = { by axiom 12 (axiom_2_8) }
% 0.20/0.46 fresh2(rp(z3(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752))), true2, y2(i2003_11_14_17_19_28752), z3(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 = { by axiom 26 (axiom_8) }
% 0.20/0.46 fresh(rp(y2(i2003_11_14_17_19_28752), z3(i2003_11_14_17_19_28752)), true2, y2(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 = { by lemma 27 }
% 0.20/0.46 fresh(true2, true2, y2(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 = { by axiom 8 (axiom_8) }
% 0.20/0.46 true2
% 0.20/0.46
% 0.20/0.46 Lemma 29: fresh16(X, X, Y, w2(z3(i2003_11_14_17_19_28752))) = true2.
% 0.20/0.46 Proof:
% 0.20/0.46 fresh16(X, X, Y, w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 = { by axiom 11 (axiom_2_6) }
% 0.20/0.46 rr(w2(z3(i2003_11_14_17_19_28752)), w3(w2(z3(i2003_11_14_17_19_28752))))
% 0.20/0.46 = { by axiom 11 (axiom_2_6) R->L }
% 0.20/0.46 fresh16(true2, true2, i2003_11_14_17_19_28752, w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 = { by lemma 28 R->L }
% 0.20/0.46 fresh16(rp(y2(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752))), true2, i2003_11_14_17_19_28752, w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 = { by axiom 23 (axiom_2_6) }
% 0.20/0.46 fresh15(cUnsatisfiable(i2003_11_14_17_19_28752), true2, w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 = { by axiom 1 (axiom_9) }
% 0.20/0.46 fresh15(true2, true2, w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 = { by axiom 5 (axiom_2_6) }
% 0.20/0.46 true2
% 0.20/0.46
% 0.20/0.46 Goal 1 (axiom_4_4): tuple(cc(X), ca(Y), rinvR(X, Z), rinvP(Z, W), rinvS(W, Y)) = tuple(true2, true2, true2, true2, true2).
% 0.20/0.46 The goal is true when:
% 0.20/0.46 X = w3(w2(z3(i2003_11_14_17_19_28752)))
% 0.20/0.46 Y = i2003_11_14_17_19_28752
% 0.20/0.46 Z = w2(z3(i2003_11_14_17_19_28752))
% 0.20/0.46 W = y2(i2003_11_14_17_19_28752)
% 0.20/0.46
% 0.20/0.46 Proof:
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), ca(i2003_11_14_17_19_28752), rinvR(w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), rinvS(y2(i2003_11_14_17_19_28752), i2003_11_14_17_19_28752))
% 0.20/0.46 = { by axiom 22 (axiom_7) R->L }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), ca(i2003_11_14_17_19_28752), rinvR(w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), fresh4(rs(i2003_11_14_17_19_28752, y2(i2003_11_14_17_19_28752)), true2, y2(i2003_11_14_17_19_28752), i2003_11_14_17_19_28752))
% 0.20/0.46 = { by axiom 9 (axiom_2_2) R->L }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), ca(i2003_11_14_17_19_28752), rinvR(w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), fresh4(fresh21(cUnsatisfiable(i2003_11_14_17_19_28752), true2, i2003_11_14_17_19_28752), true2, y2(i2003_11_14_17_19_28752), i2003_11_14_17_19_28752))
% 0.20/0.46 = { by axiom 1 (axiom_9) }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), ca(i2003_11_14_17_19_28752), rinvR(w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), fresh4(fresh21(true2, true2, i2003_11_14_17_19_28752), true2, y2(i2003_11_14_17_19_28752), i2003_11_14_17_19_28752))
% 0.20/0.46 = { by axiom 3 (axiom_2_2) }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), ca(i2003_11_14_17_19_28752), rinvR(w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), fresh4(true2, true2, y2(i2003_11_14_17_19_28752), i2003_11_14_17_19_28752))
% 0.20/0.46 = { by axiom 17 (axiom_7) }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), ca(i2003_11_14_17_19_28752), rinvR(w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 14 (axiom_3) R->L }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), fresh9(cUnsatisfiable(i2003_11_14_17_19_28752), true2, i2003_11_14_17_19_28752), rinvR(w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 1 (axiom_9) }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), fresh9(true2, true2, i2003_11_14_17_19_28752), rinvR(w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 7 (axiom_3) }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), true2, rinvR(w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 21 (axiom_6) R->L }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), true2, fresh6(rr(w2(z3(i2003_11_14_17_19_28752)), w3(w2(z3(i2003_11_14_17_19_28752)))), true2, w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 11 (axiom_2_6) R->L }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), true2, fresh6(fresh16(Z, Z, W, w2(z3(i2003_11_14_17_19_28752))), true2, w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by lemma 29 }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), true2, fresh6(true2, true2, w3(w2(z3(i2003_11_14_17_19_28752))), w2(z3(i2003_11_14_17_19_28752))), rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 16 (axiom_6) }
% 0.20/0.46 tuple(cc(w3(w2(z3(i2003_11_14_17_19_28752)))), true2, true2, rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 13 (axiom_2_9) R->L }
% 0.20/0.46 tuple(fresh10(true2, true2, i2003_11_14_17_19_28752, w3(w2(z3(i2003_11_14_17_19_28752)))), true2, true2, rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by lemma 28 R->L }
% 0.20/0.46 tuple(fresh10(rp(y2(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752))), true2, i2003_11_14_17_19_28752, w3(w2(z3(i2003_11_14_17_19_28752)))), true2, true2, rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 25 (axiom_2_9) R->L }
% 0.20/0.46 tuple(fresh26(rr(w2(z3(i2003_11_14_17_19_28752)), w3(w2(z3(i2003_11_14_17_19_28752)))), true2, i2003_11_14_17_19_28752, w2(z3(i2003_11_14_17_19_28752)), w3(w2(z3(i2003_11_14_17_19_28752)))), true2, true2, rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 11 (axiom_2_6) R->L }
% 0.20/0.46 tuple(fresh26(fresh16(X, X, Y, w2(z3(i2003_11_14_17_19_28752))), true2, i2003_11_14_17_19_28752, w2(z3(i2003_11_14_17_19_28752)), w3(w2(z3(i2003_11_14_17_19_28752)))), true2, true2, rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by lemma 29 }
% 0.20/0.46 tuple(fresh26(true2, true2, i2003_11_14_17_19_28752, w2(z3(i2003_11_14_17_19_28752)), w3(w2(z3(i2003_11_14_17_19_28752)))), true2, true2, rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 18 (axiom_2_9) }
% 0.20/0.46 tuple(fresh27(cUnsatisfiable(i2003_11_14_17_19_28752), true2, w3(w2(z3(i2003_11_14_17_19_28752)))), true2, true2, rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 1 (axiom_9) }
% 0.20/0.46 tuple(fresh27(true2, true2, w3(w2(z3(i2003_11_14_17_19_28752)))), true2, true2, rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 2 (axiom_2_9) }
% 0.20/0.46 tuple(true2, true2, true2, rinvP(w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 20 (axiom_5) R->L }
% 0.20/0.46 tuple(true2, true2, true2, fresh8(rp(y2(i2003_11_14_17_19_28752), w2(z3(i2003_11_14_17_19_28752))), true2, w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by lemma 28 }
% 0.20/0.46 tuple(true2, true2, true2, fresh8(true2, true2, w2(z3(i2003_11_14_17_19_28752)), y2(i2003_11_14_17_19_28752)), true2)
% 0.20/0.46 = { by axiom 15 (axiom_5) }
% 0.20/0.46 tuple(true2, true2, true2, true2, true2)
% 0.20/0.46 % SZS output end Proof
% 0.20/0.46
% 0.20/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------