TSTP Solution File: MGT001+1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : MGT001+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n010.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 09:16:55 EDT 2023
% Result : Theorem 0.19s 0.61s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT001+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n010.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 : Mon Aug 28 06:06:49 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.61 Command-line arguments: --ground-connectedness --complete-subsets
% 0.19/0.61
% 0.19/0.61 % SZS status Theorem
% 0.19/0.61
% 0.19/0.68 % SZS output start Proof
% 0.19/0.68 Take the following subset of the input axioms:
% 0.19/0.69 fof(a1_FOL, hypothesis, ![X, Y, R1, R2, A1, A2, P1, P2, T1, T2]: ((organization(X, T1) & (organization(Y, T2) & (reliability(X, R1, T1) & (reliability(Y, R2, T2) & (accountability(X, A1, T1) & (accountability(Y, A2, T2) & (survival_chance(X, P1, T1) & (survival_chance(Y, P2, T2) & (greater(R2, R1) & greater(A2, A1)))))))))) => greater(P2, P1))).
% 0.19/0.69 fof(a2_FOL, hypothesis, ![Rp1, Rp2, X2, Y2, T1_2, T2_2, R1_2, R2_2, A1_2, A2_2]: ((organization(X2, T1_2) & (organization(Y2, T2_2) & (reliability(X2, R1_2, T1_2) & (reliability(Y2, R2_2, T2_2) & (accountability(X2, A1_2, T1_2) & (accountability(Y2, A2_2, T2_2) & (reproducibility(X2, Rp1, T1_2) & reproducibility(Y2, Rp2, T2_2)))))))) => (greater(Rp2, Rp1) <=> (greater(R2_2, R1_2) & greater(A2_2, A1_2))))).
% 0.19/0.69 fof(a3_FOL, hypothesis, ![I1, I2, X2, Y2, T1_2, T2_2, Rp1_2, Rp2_2]: ((organization(X2, T1_2) & (organization(Y2, T2_2) & (reorganization_free(X2, T1_2, T1_2) & (reorganization_free(Y2, T2_2, T2_2) & (reproducibility(X2, Rp1_2, T1_2) & (reproducibility(Y2, Rp2_2, T2_2) & (inertia(X2, I1, T1_2) & inertia(Y2, I2, T2_2)))))))) => (greater(Rp2_2, Rp1_2) <=> greater(I2, I1)))).
% 0.19/0.69 fof(mp1, axiom, ![T, X2]: (organization(X2, T) => ?[R]: reliability(X2, R, T))).
% 0.19/0.69 fof(mp2, axiom, ![X2, T3]: (organization(X2, T3) => ?[A]: accountability(X2, A, T3))).
% 0.19/0.69 fof(mp3, axiom, ![X2, T3]: (organization(X2, T3) => ?[Rp]: reproducibility(X2, Rp, T3))).
% 0.19/0.69 fof(t1_FOL, conjecture, ![X2, Y2, P1_2, P2_2, T1_2, T2_2, I1_2, I2_2]: ((organization(X2, T1_2) & (organization(Y2, T2_2) & (reorganization_free(X2, T1_2, T1_2) & (reorganization_free(Y2, T2_2, T2_2) & (inertia(X2, I1_2, T1_2) & (inertia(Y2, I2_2, T2_2) & (survival_chance(X2, P1_2, T1_2) & (survival_chance(Y2, P2_2, T2_2) & greater(I2_2, I1_2))))))))) => greater(P2_2, P1_2))).
% 0.19/0.69
% 0.19/0.69 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.19/0.69 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.19/0.69 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.19/0.69 fresh(y, y, x1...xn) = u
% 0.19/0.69 C => fresh(s, t, x1...xn) = v
% 0.19/0.69 where fresh is a fresh function symbol and x1..xn are the free
% 0.19/0.69 variables of u and v.
% 0.19/0.69 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.19/0.69 input problem has no model of domain size 1).
% 0.19/0.69
% 0.19/0.69 The encoding turns the above axioms into the following unit equations and goals:
% 0.19/0.69
% 0.19/0.69 Axiom 1 (t1_FOL): organization(x, t1) = true.
% 0.19/0.69 Axiom 2 (t1_FOL_1): organization(y, t2) = true.
% 0.19/0.69 Axiom 3 (t1_FOL_4): greater(i2, i1) = true.
% 0.19/0.69 Axiom 4 (t1_FOL_2): survival_chance(x, p1, t1) = true.
% 0.19/0.69 Axiom 5 (t1_FOL_3): survival_chance(y, p2, t2) = true.
% 0.19/0.69 Axiom 6 (t1_FOL_5): reorganization_free(x, t1, t1) = true.
% 0.19/0.69 Axiom 7 (t1_FOL_6): reorganization_free(y, t2, t2) = true.
% 0.19/0.69 Axiom 8 (t1_FOL_7): inertia(x, i1, t1) = true.
% 0.19/0.69 Axiom 9 (t1_FOL_8): inertia(y, i2, t2) = true.
% 0.19/0.69 Axiom 10 (mp3): fresh(X, X, Y, Z) = true.
% 0.19/0.69 Axiom 11 (a1_FOL): fresh59(X, X, Y, Z) = true.
% 0.19/0.69 Axiom 12 (a2_FOL_2): fresh49(X, X, Y, Z) = true.
% 0.19/0.69 Axiom 13 (a2_FOL_1): fresh40(X, X, Y, Z) = true.
% 0.19/0.69 Axiom 14 (a3_FOL_1): fresh21(X, X, Y, Z) = true.
% 0.19/0.69 Axiom 15 (mp1): fresh3(X, X, Y, Z) = true.
% 0.19/0.69 Axiom 16 (mp2): fresh2(X, X, Y, Z) = true.
% 0.19/0.69 Axiom 17 (mp3): fresh(organization(X, Y), true, X, Y) = reproducibility(X, rp(X, Y), Y).
% 0.19/0.69 Axiom 18 (a1_FOL): fresh57(X, X, Y, Z, W, V) = greater(W, Z).
% 0.19/0.69 Axiom 19 (a2_FOL_2): fresh47(X, X, Y, Z, W, V) = greater(W, Z).
% 0.19/0.69 Axiom 20 (a2_FOL_1): fresh38(X, X, Y, Z, W, V) = greater(W, Z).
% 0.19/0.69 Axiom 21 (a3_FOL_1): fresh19(X, X, Y, Z, W, V) = greater(W, Z).
% 0.19/0.69 Axiom 22 (mp1): fresh3(organization(X, Y), true, X, Y) = reliability(X, r(X, Y), Y).
% 0.19/0.69 Axiom 23 (mp2): fresh2(organization(X, Y), true, X, Y) = accountability(X, a(X, Y), Y).
% 0.19/0.69 Axiom 24 (a1_FOL): fresh58(X, X, Y, Z, W, V, U, T) = fresh59(organization(Y, T), true, W, V).
% 0.19/0.69 Axiom 25 (a2_FOL_2): fresh48(X, X, Y, Z, W, V, U, T) = fresh49(organization(Y, T), true, V, U).
% 0.19/0.69 Axiom 26 (a2_FOL_1): fresh39(X, X, Y, Z, W, V, U, T) = fresh40(organization(Y, T), true, V, U).
% 0.19/0.69 Axiom 27 (a2_FOL_1): fresh37(X, X, Y, Z, W, V, U, T) = fresh38(organization(Z, W), true, Y, V, U, T).
% 0.19/0.69 Axiom 28 (a3_FOL_1): fresh20(X, X, Y, Z, W, V, U, T) = fresh21(organization(Y, T), true, V, U).
% 0.19/0.69 Axiom 29 (a3_FOL_1): fresh18(X, X, Y, Z, W, V, U, T) = fresh19(organization(Z, W), true, Y, V, U, T).
% 0.19/0.69 Axiom 30 (a1_FOL): fresh56(X, X, Y, Z, W, V, U, T, S) = fresh57(organization(Z, T), true, Y, V, U, S).
% 0.19/0.69 Axiom 31 (a2_FOL_2): fresh46(X, X, Y, Z, W, V, U, T, S) = fresh47(organization(Z, W), true, Y, U, T, S).
% 0.19/0.69 Axiom 32 (a3_FOL_1): fresh16(X, X, Y, Z, W, V, U, T, S, X2) = fresh17(greater(S, T), true, Y, Z, W, V, U, X2).
% 0.19/0.69 Axiom 33 (a1_FOL): fresh55(X, X, Y, Z, W, V, U, T, S, X2) = fresh58(reliability(Y, W, X2), true, Y, Z, U, T, S, X2).
% 0.19/0.69 Axiom 34 (a2_FOL_2): fresh45(X, X, Y, Z, W, V, U, T, S, X2) = fresh48(reliability(Y, V, X2), true, Y, Z, W, T, S, X2).
% 0.19/0.69 Axiom 35 (a2_FOL_1): fresh36(X, X, Y, Z, W, V, U, T) = fresh39(reliability(Y, V, T), true, Y, Z, W, V, U, T).
% 0.19/0.69 Axiom 36 (a2_FOL_1): fresh35(X, X, Y, Z, W, V, U, T, S) = fresh37(reliability(Z, U, W), true, Y, Z, W, V, U, S).
% 0.19/0.69 Axiom 37 (a2_FOL_1): fresh34(X, X, Y, Z, W, V, U, T, S, X2) = fresh36(accountability(Y, T, X2), true, Y, Z, W, V, U, X2).
% 0.19/0.69 Axiom 38 (a3_FOL_1): fresh17(X, X, Y, Z, W, V, U, T) = fresh20(reproducibility(Y, V, T), true, Y, Z, W, V, U, T).
% 0.19/0.69 Axiom 39 (a3_FOL_1): fresh15(X, X, Y, Z, W, V, U, T, S, X2) = fresh18(reproducibility(Z, U, W), true, Y, Z, W, V, U, X2).
% 0.19/0.69 Axiom 40 (a1_FOL): fresh54(X, X, Y, Z, W, V, U, T, S, X2, Y2) = fresh56(reliability(Z, V, X2), true, Y, Z, W, T, S, X2, Y2).
% 0.19/0.69 Axiom 41 (a2_FOL_2): fresh44(X, X, Y, Z, W, V, U, T, S, X2) = fresh46(reliability(Z, U, W), true, Y, Z, W, V, T, S, X2).
% 0.19/0.69 Axiom 42 (a2_FOL_1): fresh33(X, X, Y, Z, W, V, U, T, S, X2, Y2) = fresh35(accountability(Z, S, W), true, Y, Z, W, V, U, T, Y2).
% 0.19/0.69 Axiom 43 (a1_FOL): fresh53(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh55(accountability(Y, U, Z2), true, Y, Z, W, V, S, X2, Y2, Z2).
% 0.19/0.69 Axiom 44 (a2_FOL_2): fresh43(X, X, Y, Z, W, V, U, T, S, X2) = fresh45(accountability(Y, T, X2), true, Y, Z, W, V, U, T, S, X2).
% 0.19/0.69 Axiom 45 (a2_FOL_2): fresh42(X, X, Y, Z, W, V, U, T, S, X2, Y2) = fresh44(accountability(Z, S, W), true, Y, Z, W, V, U, T, S, Y2).
% 0.19/0.69 Axiom 46 (a2_FOL_2): fresh41(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh43(reproducibility(Y, X2, Z2), true, Y, Z, W, V, U, T, S, Z2).
% 0.19/0.69 Axiom 47 (a2_FOL_1): fresh32(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh34(reproducibility(Y, X2, Z2), true, Y, Z, W, V, U, T, S, Z2).
% 0.19/0.69 Axiom 48 (a3_FOL_1): fresh14(X, X, Y, Z, W, V, U, T, S, X2) = fresh16(reorganization_free(Y, X2, X2), true, Y, Z, W, V, U, T, S, X2).
% 0.19/0.69 Axiom 49 (a3_FOL_1): fresh13(X, X, Y, Z, W, V, U, T, S, X2) = fresh15(reorganization_free(Z, W, W), true, Y, Z, W, V, U, T, S, X2).
% 0.19/0.69 Axiom 50 (a3_FOL_1): fresh13(inertia(X, Y, Z), true, W, X, Z, V, U, T, Y, S) = fresh14(inertia(W, T, S), true, W, X, Z, V, U, T, Y, S).
% 0.19/0.69 Axiom 51 (a1_FOL): fresh52(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh54(accountability(Z, T, Y2), true, Y, Z, W, V, U, S, X2, Y2, Z2).
% 0.19/0.69 Axiom 52 (a1_FOL): fresh50(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh51(greater(V, W), true, Y, Z, W, V, U, T, S, X2, Y2, Z2).
% 0.19/0.69 Axiom 53 (a2_FOL_2): fresh41(greater(X, Y), true, Z, W, V, U, T, S, X2, Y, X, Y2) = fresh42(reproducibility(W, X, V), true, Z, W, V, U, T, S, X2, Y, Y2).
% 0.19/0.69 Axiom 54 (a2_FOL_1): fresh32(greater(X, Y), true, Z, W, V, U, T, S, X2, Y, X, Y2) = fresh33(reproducibility(W, X, V), true, Z, W, V, U, T, S, X2, Y, Y2).
% 0.19/0.69 Axiom 55 (a1_FOL): fresh51(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh53(survival_chance(Y, S, Z2), true, Y, Z, W, V, U, T, S, X2, Y2, Z2).
% 0.19/0.69 Axiom 56 (a1_FOL): fresh50(greater(X, Y), true, Z, W, V, U, Y, X, T, S, X2, Y2) = fresh52(survival_chance(W, S, X2), true, Z, W, V, U, Y, X, T, S, X2, Y2).
% 0.19/0.69
% 0.19/0.69 Lemma 57: reliability(x, r(x, t1), t1) = true.
% 0.19/0.69 Proof:
% 0.19/0.69 reliability(x, r(x, t1), t1)
% 0.19/0.69 = { by axiom 22 (mp1) R->L }
% 0.19/0.69 fresh3(organization(x, t1), true, x, t1)
% 0.19/0.69 = { by axiom 1 (t1_FOL) }
% 0.19/0.69 fresh3(true, true, x, t1)
% 0.19/0.69 = { by axiom 15 (mp1) }
% 0.19/0.69 true
% 0.19/0.69
% 0.19/0.69 Lemma 58: reliability(y, r(y, t2), t2) = true.
% 0.19/0.69 Proof:
% 0.19/0.69 reliability(y, r(y, t2), t2)
% 0.19/0.69 = { by axiom 22 (mp1) R->L }
% 0.19/0.69 fresh3(organization(y, t2), true, y, t2)
% 0.19/0.69 = { by axiom 2 (t1_FOL_1) }
% 0.19/0.69 fresh3(true, true, y, t2)
% 0.19/0.69 = { by axiom 15 (mp1) }
% 0.19/0.69 true
% 0.19/0.69
% 0.19/0.69 Lemma 59: accountability(x, a(x, t1), t1) = true.
% 0.19/0.69 Proof:
% 0.19/0.69 accountability(x, a(x, t1), t1)
% 0.19/0.69 = { by axiom 23 (mp2) R->L }
% 0.19/0.69 fresh2(organization(x, t1), true, x, t1)
% 0.19/0.69 = { by axiom 1 (t1_FOL) }
% 0.19/0.69 fresh2(true, true, x, t1)
% 0.19/0.69 = { by axiom 16 (mp2) }
% 0.19/0.69 true
% 0.19/0.69
% 0.19/0.69 Lemma 60: accountability(y, a(y, t2), t2) = true.
% 0.19/0.69 Proof:
% 0.19/0.69 accountability(y, a(y, t2), t2)
% 0.19/0.69 = { by axiom 23 (mp2) R->L }
% 0.19/0.69 fresh2(organization(y, t2), true, y, t2)
% 0.19/0.69 = { by axiom 2 (t1_FOL_1) }
% 0.19/0.69 fresh2(true, true, y, t2)
% 0.19/0.69 = { by axiom 16 (mp2) }
% 0.19/0.69 true
% 0.19/0.69
% 0.19/0.69 Lemma 61: reproducibility(x, rp(x, t1), t1) = true.
% 0.19/0.69 Proof:
% 0.19/0.69 reproducibility(x, rp(x, t1), t1)
% 0.19/0.69 = { by axiom 17 (mp3) R->L }
% 0.19/0.69 fresh(organization(x, t1), true, x, t1)
% 0.19/0.69 = { by axiom 1 (t1_FOL) }
% 0.19/0.69 fresh(true, true, x, t1)
% 0.19/0.69 = { by axiom 10 (mp3) }
% 0.19/0.69 true
% 0.19/0.69
% 0.19/0.69 Lemma 62: reproducibility(y, rp(y, t2), t2) = true.
% 0.19/0.69 Proof:
% 0.19/0.69 reproducibility(y, rp(y, t2), t2)
% 0.19/0.69 = { by axiom 17 (mp3) R->L }
% 0.19/0.69 fresh(organization(y, t2), true, y, t2)
% 0.19/0.69 = { by axiom 2 (t1_FOL_1) }
% 0.19/0.69 fresh(true, true, y, t2)
% 0.19/0.69 = { by axiom 10 (mp3) }
% 0.19/0.69 true
% 0.19/0.69
% 0.19/0.69 Lemma 63: greater(rp(y, t2), rp(x, t1)) = true.
% 0.19/0.69 Proof:
% 0.19/0.69 greater(rp(y, t2), rp(x, t1))
% 0.19/0.69 = { by axiom 21 (a3_FOL_1) R->L }
% 0.19/0.69 fresh19(true, true, x, rp(x, t1), rp(y, t2), t1)
% 0.19/0.69 = { by axiom 2 (t1_FOL_1) R->L }
% 0.19/0.69 fresh19(organization(y, t2), true, x, rp(x, t1), rp(y, t2), t1)
% 0.19/0.69 = { by axiom 29 (a3_FOL_1) R->L }
% 0.19/0.69 fresh18(true, true, x, y, t2, rp(x, t1), rp(y, t2), t1)
% 0.19/0.69 = { by lemma 62 R->L }
% 0.19/0.69 fresh18(reproducibility(y, rp(y, t2), t2), true, x, y, t2, rp(x, t1), rp(y, t2), t1)
% 0.19/0.69 = { by axiom 39 (a3_FOL_1) R->L }
% 0.19/0.69 fresh15(true, true, x, y, t2, rp(x, t1), rp(y, t2), i1, i2, t1)
% 0.19/0.69 = { by axiom 7 (t1_FOL_6) R->L }
% 0.19/0.69 fresh15(reorganization_free(y, t2, t2), true, x, y, t2, rp(x, t1), rp(y, t2), i1, i2, t1)
% 0.19/0.69 = { by axiom 49 (a3_FOL_1) R->L }
% 0.19/0.69 fresh13(true, true, x, y, t2, rp(x, t1), rp(y, t2), i1, i2, t1)
% 0.19/0.69 = { by axiom 9 (t1_FOL_8) R->L }
% 0.19/0.69 fresh13(inertia(y, i2, t2), true, x, y, t2, rp(x, t1), rp(y, t2), i1, i2, t1)
% 0.19/0.69 = { by axiom 50 (a3_FOL_1) }
% 0.19/0.69 fresh14(inertia(x, i1, t1), true, x, y, t2, rp(x, t1), rp(y, t2), i1, i2, t1)
% 0.19/0.69 = { by axiom 8 (t1_FOL_7) }
% 0.19/0.69 fresh14(true, true, x, y, t2, rp(x, t1), rp(y, t2), i1, i2, t1)
% 0.19/0.69 = { by axiom 48 (a3_FOL_1) }
% 0.19/0.69 fresh16(reorganization_free(x, t1, t1), true, x, y, t2, rp(x, t1), rp(y, t2), i1, i2, t1)
% 0.19/0.69 = { by axiom 6 (t1_FOL_5) }
% 0.19/0.69 fresh16(true, true, x, y, t2, rp(x, t1), rp(y, t2), i1, i2, t1)
% 0.19/0.69 = { by axiom 32 (a3_FOL_1) }
% 0.19/0.69 fresh17(greater(i2, i1), true, x, y, t2, rp(x, t1), rp(y, t2), t1)
% 0.19/0.69 = { by axiom 3 (t1_FOL_4) }
% 0.19/0.69 fresh17(true, true, x, y, t2, rp(x, t1), rp(y, t2), t1)
% 0.19/0.69 = { by axiom 38 (a3_FOL_1) }
% 0.19/0.69 fresh20(reproducibility(x, rp(x, t1), t1), true, x, y, t2, rp(x, t1), rp(y, t2), t1)
% 0.19/0.69 = { by lemma 61 }
% 0.19/0.69 fresh20(true, true, x, y, t2, rp(x, t1), rp(y, t2), t1)
% 0.19/0.69 = { by axiom 28 (a3_FOL_1) }
% 0.19/0.69 fresh21(organization(x, t1), true, rp(x, t1), rp(y, t2))
% 0.19/0.69 = { by axiom 1 (t1_FOL) }
% 0.19/0.69 fresh21(true, true, rp(x, t1), rp(y, t2))
% 0.19/0.69 = { by axiom 14 (a3_FOL_1) }
% 0.19/0.69 true
% 0.19/0.69
% 0.19/0.69 Goal 1 (t1_FOL_9): greater(p2, p1) = true.
% 0.19/0.69 Proof:
% 0.19/0.69 greater(p2, p1)
% 0.19/0.69 = { by axiom 18 (a1_FOL) R->L }
% 0.19/0.69 fresh57(true, true, x, p1, p2, t1)
% 0.19/0.69 = { by axiom 2 (t1_FOL_1) R->L }
% 0.19/0.69 fresh57(organization(y, t2), true, x, p1, p2, t1)
% 0.19/0.69 = { by axiom 30 (a1_FOL) R->L }
% 0.19/0.69 fresh56(true, true, x, y, r(x, t1), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 58 R->L }
% 0.19/0.69 fresh56(reliability(y, r(y, t2), t2), true, x, y, r(x, t1), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 40 (a1_FOL) R->L }
% 0.19/0.69 fresh54(true, true, x, y, r(x, t1), r(y, t2), a(x, t1), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 60 R->L }
% 0.19/0.69 fresh54(accountability(y, a(y, t2), t2), true, x, y, r(x, t1), r(y, t2), a(x, t1), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 51 (a1_FOL) R->L }
% 0.19/0.69 fresh52(true, true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 5 (t1_FOL_3) R->L }
% 0.19/0.69 fresh52(survival_chance(y, p2, t2), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 56 (a1_FOL) R->L }
% 0.19/0.69 fresh50(greater(a(y, t2), a(x, t1)), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 19 (a2_FOL_2) R->L }
% 0.19/0.69 fresh50(fresh47(true, true, x, a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 2 (t1_FOL_1) R->L }
% 0.19/0.69 fresh50(fresh47(organization(y, t2), true, x, a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 31 (a2_FOL_2) R->L }
% 0.19/0.69 fresh50(fresh46(true, true, x, y, t2, r(x, t1), a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 58 R->L }
% 0.19/0.69 fresh50(fresh46(reliability(y, r(y, t2), t2), true, x, y, t2, r(x, t1), a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 41 (a2_FOL_2) R->L }
% 0.19/0.69 fresh50(fresh44(true, true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 60 R->L }
% 0.19/0.69 fresh50(fresh44(accountability(y, a(y, t2), t2), true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 45 (a2_FOL_2) R->L }
% 0.19/0.69 fresh50(fresh42(true, true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), rp(x, t1), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 62 R->L }
% 0.19/0.69 fresh50(fresh42(reproducibility(y, rp(y, t2), t2), true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), rp(x, t1), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 53 (a2_FOL_2) R->L }
% 0.19/0.69 fresh50(fresh41(greater(rp(y, t2), rp(x, t1)), true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), rp(x, t1), rp(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 63 }
% 0.19/0.69 fresh50(fresh41(true, true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), rp(x, t1), rp(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 46 (a2_FOL_2) }
% 0.19/0.69 fresh50(fresh43(reproducibility(x, rp(x, t1), t1), true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 61 }
% 0.19/0.69 fresh50(fresh43(true, true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 44 (a2_FOL_2) }
% 0.19/0.69 fresh50(fresh45(accountability(x, a(x, t1), t1), true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 59 }
% 0.19/0.69 fresh50(fresh45(true, true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 34 (a2_FOL_2) }
% 0.19/0.69 fresh50(fresh48(reliability(x, r(x, t1), t1), true, x, y, t2, a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 57 }
% 0.19/0.69 fresh50(fresh48(true, true, x, y, t2, a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 25 (a2_FOL_2) }
% 0.19/0.69 fresh50(fresh49(organization(x, t1), true, a(x, t1), a(y, t2)), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 1 (t1_FOL) }
% 0.19/0.69 fresh50(fresh49(true, true, a(x, t1), a(y, t2)), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 12 (a2_FOL_2) }
% 0.19/0.69 fresh50(true, true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 52 (a1_FOL) }
% 0.19/0.69 fresh51(greater(r(y, t2), r(x, t1)), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 20 (a2_FOL_1) R->L }
% 0.19/0.69 fresh51(fresh38(true, true, x, r(x, t1), r(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 2 (t1_FOL_1) R->L }
% 0.19/0.69 fresh51(fresh38(organization(y, t2), true, x, r(x, t1), r(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 27 (a2_FOL_1) R->L }
% 0.19/0.69 fresh51(fresh37(true, true, x, y, t2, r(x, t1), r(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 58 R->L }
% 0.19/0.69 fresh51(fresh37(reliability(y, r(y, t2), t2), true, x, y, t2, r(x, t1), r(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 36 (a2_FOL_1) R->L }
% 0.19/0.69 fresh51(fresh35(true, true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 60 R->L }
% 0.19/0.69 fresh51(fresh35(accountability(y, a(y, t2), t2), true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 42 (a2_FOL_1) R->L }
% 0.19/0.69 fresh51(fresh33(true, true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), rp(x, t1), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 62 R->L }
% 0.19/0.69 fresh51(fresh33(reproducibility(y, rp(y, t2), t2), true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), rp(x, t1), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 54 (a2_FOL_1) R->L }
% 0.19/0.69 fresh51(fresh32(greater(rp(y, t2), rp(x, t1)), true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), rp(x, t1), rp(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 63 }
% 0.19/0.69 fresh51(fresh32(true, true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), rp(x, t1), rp(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 47 (a2_FOL_1) }
% 0.19/0.69 fresh51(fresh34(reproducibility(x, rp(x, t1), t1), true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 61 }
% 0.19/0.69 fresh51(fresh34(true, true, x, y, t2, r(x, t1), r(y, t2), a(x, t1), a(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 37 (a2_FOL_1) }
% 0.19/0.69 fresh51(fresh36(accountability(x, a(x, t1), t1), true, x, y, t2, r(x, t1), r(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 59 }
% 0.19/0.69 fresh51(fresh36(true, true, x, y, t2, r(x, t1), r(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 35 (a2_FOL_1) }
% 0.19/0.69 fresh51(fresh39(reliability(x, r(x, t1), t1), true, x, y, t2, r(x, t1), r(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 57 }
% 0.19/0.69 fresh51(fresh39(true, true, x, y, t2, r(x, t1), r(y, t2), t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 26 (a2_FOL_1) }
% 0.19/0.69 fresh51(fresh40(organization(x, t1), true, r(x, t1), r(y, t2)), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 1 (t1_FOL) }
% 0.19/0.69 fresh51(fresh40(true, true, r(x, t1), r(y, t2)), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 13 (a2_FOL_1) }
% 0.19/0.69 fresh51(true, true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 55 (a1_FOL) }
% 0.19/0.69 fresh53(survival_chance(x, p1, t1), true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 4 (t1_FOL_2) }
% 0.19/0.69 fresh53(true, true, x, y, r(x, t1), r(y, t2), a(x, t1), a(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 43 (a1_FOL) }
% 0.19/0.69 fresh55(accountability(x, a(x, t1), t1), true, x, y, r(x, t1), r(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 59 }
% 0.19/0.69 fresh55(true, true, x, y, r(x, t1), r(y, t2), p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 33 (a1_FOL) }
% 0.19/0.69 fresh58(reliability(x, r(x, t1), t1), true, x, y, p1, p2, t2, t1)
% 0.19/0.69 = { by lemma 57 }
% 0.19/0.69 fresh58(true, true, x, y, p1, p2, t2, t1)
% 0.19/0.69 = { by axiom 24 (a1_FOL) }
% 0.19/0.69 fresh59(organization(x, t1), true, p1, p2)
% 0.19/0.69 = { by axiom 1 (t1_FOL) }
% 0.19/0.69 fresh59(true, true, p1, p2)
% 0.19/0.69 = { by axiom 11 (a1_FOL) }
% 0.19/0.69 true
% 0.19/0.69 % SZS output end Proof
% 0.19/0.69
% 0.19/0.69 RESULT: Theorem (the conjecture is true).
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