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 v2.4.0.
% 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 : n031.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 09:16:54 EDT 2023
% Result : Unsatisfiable 0.20s 0.60s
% Output : Proof 0.20s
% 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 v2.4.0.
% 0.12/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:37:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.60 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.20/0.60
% 0.20/0.60 % SZS status Unsatisfiable
% 0.20/0.60
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 Take the following subset of the input axioms:
% 0.20/0.68 fof(a1_FOL_4, hypothesis, ![B, C, D, E, F, G, H, I, J, A2]: (~organization(A2, B) | (~organization(C, D) | (~reliability(A2, E, B) | (~reliability(C, F, D) | (~accountability(A2, G, B) | (~accountability(C, H, D) | (~survival_chance(A2, I, B) | (~survival_chance(C, J, D) | (~greater(F, E) | (~greater(H, G) | greater(J, I)))))))))))).
% 0.20/0.68 fof(a2_FOL_5, hypothesis, ![B2, A2_2, C2, D2, E2, F2, G2, H2, I2, J2]: (~organization(A2_2, B2) | (~organization(C2, D2) | (~reliability(A2_2, E2, B2) | (~reliability(C2, F2, D2) | (~accountability(A2_2, G2, B2) | (~accountability(C2, H2, D2) | (~reproducibility(A2_2, I2, B2) | (~reproducibility(C2, J2, D2) | (~greater(J2, I2) | greater(F2, E2))))))))))).
% 0.20/0.68 fof(a2_FOL_6, hypothesis, ![B2, A2_2, C2, D2, E2, F2, G2, H2, I2, J2]: (~organization(A2_2, B2) | (~organization(C2, D2) | (~reliability(A2_2, E2, B2) | (~reliability(C2, F2, D2) | (~accountability(A2_2, G2, B2) | (~accountability(C2, H2, D2) | (~reproducibility(A2_2, I2, B2) | (~reproducibility(C2, J2, D2) | (~greater(J2, I2) | greater(H2, G2))))))))))).
% 0.20/0.68 fof(a3_FOL_9, hypothesis, ![B2, A2_2, C2, D2, E2, F2, G2, H2]: (~organization(A2_2, B2) | (~organization(C2, D2) | (~reorganization_free(A2_2, B2, B2) | (~reorganization_free(C2, D2, D2) | (~reproducibility(A2_2, E2, B2) | (~reproducibility(C2, F2, D2) | (~inertia(A2_2, G2, B2) | (~inertia(C2, H2, D2) | (~greater(H2, G2) | greater(F2, E2))))))))))).
% 0.20/0.68 fof(mp1_1, axiom, ![B2, A2_2]: (~organization(A2_2, B2) | reliability(A2_2, sk1(B2, A2_2), B2))).
% 0.20/0.68 fof(mp2_2, axiom, ![B2, A2_2]: (~organization(A2_2, B2) | accountability(A2_2, sk2(B2, A2_2), B2))).
% 0.20/0.68 fof(mp3_3, axiom, ![B2, A2_2]: (~organization(A2_2, B2) | reproducibility(A2_2, sk3(B2, A2_2), B2))).
% 0.20/0.68 fof(t1_FOL_10, negated_conjecture, organization(sk4, sk6)).
% 0.20/0.68 fof(t1_FOL_11, negated_conjecture, organization(sk5, sk7)).
% 0.20/0.68 fof(t1_FOL_12, negated_conjecture, reorganization_free(sk4, sk6, sk6)).
% 0.20/0.68 fof(t1_FOL_13, negated_conjecture, reorganization_free(sk5, sk7, sk7)).
% 0.20/0.68 fof(t1_FOL_14, negated_conjecture, inertia(sk4, sk8, sk6)).
% 0.20/0.68 fof(t1_FOL_15, negated_conjecture, inertia(sk5, sk9, sk7)).
% 0.20/0.68 fof(t1_FOL_16, negated_conjecture, survival_chance(sk4, sk10, sk6)).
% 0.20/0.68 fof(t1_FOL_17, negated_conjecture, survival_chance(sk5, sk11, sk7)).
% 0.20/0.68 fof(t1_FOL_18, negated_conjecture, greater(sk9, sk8)).
% 0.20/0.68 fof(t1_FOL_19, negated_conjecture, ~greater(sk11, sk10)).
% 0.20/0.68
% 0.20/0.68 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.20/0.68 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.20/0.68 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.20/0.68 fresh(y, y, x1...xn) = u
% 0.20/0.68 C => fresh(s, t, x1...xn) = v
% 0.20/0.68 where fresh is a fresh function symbol and x1..xn are the free
% 0.20/0.68 variables of u and v.
% 0.20/0.68 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.20/0.68 input problem has no model of domain size 1).
% 0.20/0.68
% 0.20/0.68 The encoding turns the above axioms into the following unit equations and goals:
% 0.20/0.68
% 0.20/0.68 Axiom 1 (t1_FOL_18): greater(sk9, sk8) = true.
% 0.20/0.68 Axiom 2 (t1_FOL_10): organization(sk4, sk6) = true.
% 0.20/0.68 Axiom 3 (t1_FOL_11): organization(sk5, sk7) = true.
% 0.20/0.68 Axiom 4 (t1_FOL_16): survival_chance(sk4, sk10, sk6) = true.
% 0.20/0.68 Axiom 5 (t1_FOL_17): survival_chance(sk5, sk11, sk7) = true.
% 0.20/0.68 Axiom 6 (t1_FOL_12): reorganization_free(sk4, sk6, sk6) = true.
% 0.20/0.68 Axiom 7 (t1_FOL_13): reorganization_free(sk5, sk7, sk7) = true.
% 0.20/0.68 Axiom 8 (t1_FOL_14): inertia(sk4, sk8, sk6) = true.
% 0.20/0.68 Axiom 9 (t1_FOL_15): inertia(sk5, sk9, sk7) = true.
% 0.20/0.68 Axiom 10 (mp3_3): fresh(X, X, Y, Z) = true.
% 0.20/0.68 Axiom 11 (a1_FOL_4): fresh59(X, X, Y, Z) = true.
% 0.20/0.68 Axiom 12 (a2_FOL_5): fresh49(X, X, Y, Z) = true.
% 0.20/0.68 Axiom 13 (a2_FOL_6): fresh40(X, X, Y, Z) = true.
% 0.20/0.68 Axiom 14 (a3_FOL_9): fresh12(X, X, Y, Z) = true.
% 0.20/0.68 Axiom 15 (mp1_1): fresh3(X, X, Y, Z) = true.
% 0.20/0.68 Axiom 16 (mp2_2): fresh2(X, X, Y, Z) = true.
% 0.20/0.68 Axiom 17 (mp3_3): fresh(organization(X, Y), true, X, Y) = reproducibility(X, sk3(Y, X), Y).
% 0.20/0.68 Axiom 18 (a1_FOL_4): fresh57(X, X, Y, Z, W, V) = greater(W, Z).
% 0.20/0.68 Axiom 19 (a2_FOL_5): fresh47(X, X, Y, Z, W, V) = greater(W, Z).
% 0.20/0.68 Axiom 20 (a2_FOL_6): fresh38(X, X, Y, Z, W, V) = greater(W, Z).
% 0.20/0.68 Axiom 21 (a3_FOL_9): fresh10(X, X, Y, Z, W, V) = greater(W, Z).
% 0.20/0.68 Axiom 22 (mp1_1): fresh3(organization(X, Y), true, X, Y) = reliability(X, sk1(Y, X), Y).
% 0.20/0.68 Axiom 23 (mp2_2): fresh2(organization(X, Y), true, X, Y) = accountability(X, sk2(Y, X), Y).
% 0.20/0.68 Axiom 24 (a1_FOL_4): fresh58(X, X, Y, Z, W, V, U, T) = fresh59(organization(Y, T), true, V, U).
% 0.20/0.68 Axiom 25 (a2_FOL_5): fresh48(X, X, Y, Z, W, V, U, T) = fresh49(organization(Y, T), true, V, U).
% 0.20/0.68 Axiom 26 (a2_FOL_5): fresh46(X, X, Y, Z, W, V, U, T) = fresh47(organization(Z, W), true, Y, V, U, T).
% 0.20/0.68 Axiom 27 (a2_FOL_6): fresh39(X, X, Y, Z, W, V, U, T) = fresh40(organization(Y, T), true, V, U).
% 0.20/0.68 Axiom 28 (a3_FOL_9): fresh11(X, X, Y, Z, W, V, U, T) = fresh12(organization(Y, T), true, V, U).
% 0.20/0.68 Axiom 29 (a3_FOL_9): fresh9(X, X, Y, Z, W, V, U, T) = fresh10(organization(Z, W), true, Y, V, U, T).
% 0.20/0.68 Axiom 30 (a1_FOL_4): fresh56(X, X, Y, Z, W, V, U, T, S) = fresh57(organization(Z, W), true, Y, U, T, S).
% 0.20/0.68 Axiom 31 (a2_FOL_6): fresh37(X, X, Y, Z, W, V, U, T, S) = fresh38(organization(Z, W), true, Y, V, U, T).
% 0.20/0.68 Axiom 32 (a3_FOL_9): fresh7(X, X, Y, Z, W, V, U, T, S, X2) = fresh8(greater(S, T), true, Y, Z, W, V, U, X2).
% 0.20/0.68 Axiom 33 (a1_FOL_4): fresh55(X, X, Y, Z, W, V, U, T, S, X2) = fresh58(reliability(Y, V, X2), true, Y, Z, W, T, S, X2).
% 0.20/0.68 Axiom 34 (a2_FOL_5): fresh45(X, X, Y, Z, W, V, U, T) = fresh48(reliability(Y, V, T), true, Y, Z, W, V, U, T).
% 0.20/0.68 Axiom 35 (a2_FOL_5): fresh44(X, X, Y, Z, W, V, U, T, S) = fresh46(reliability(Z, U, W), true, Y, Z, W, V, U, T).
% 0.20/0.68 Axiom 36 (a2_FOL_5): fresh43(X, X, Y, Z, W, V, U, T, S, X2) = fresh45(accountability(Y, X2, S), true, Y, Z, W, V, U, S).
% 0.20/0.68 Axiom 37 (a2_FOL_6): fresh36(X, X, Y, Z, W, V, U, T, S, X2) = fresh39(reliability(Y, X2, S), true, Y, Z, W, U, T, S).
% 0.20/0.68 Axiom 38 (a3_FOL_9): fresh8(X, X, Y, Z, W, V, U, T) = fresh11(reproducibility(Y, V, T), true, Y, Z, W, V, U, T).
% 0.20/0.68 Axiom 39 (a3_FOL_9): fresh6(X, X, Y, Z, W, V, U, T, S, X2) = fresh9(reproducibility(Z, U, W), true, Y, Z, W, V, U, X2).
% 0.20/0.68 Axiom 40 (a1_FOL_4): fresh54(X, X, Y, Z, W, V, U, T, S, X2, Y2) = fresh56(reliability(Z, U, W), true, Y, Z, W, V, S, X2, Y2).
% 0.20/0.68 Axiom 41 (a2_FOL_5): fresh42(X, X, Y, Z, W, V, U, T, S, X2, Y2) = fresh44(accountability(Z, T, W), true, Y, Z, W, V, U, X2, Y2).
% 0.20/0.68 Axiom 42 (a2_FOL_6): fresh35(X, X, Y, Z, W, V, U, T, S, X2) = fresh37(reliability(Z, V, W), true, Y, Z, W, U, T, S, X2).
% 0.20/0.68 Axiom 43 (a1_FOL_4): fresh53(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh55(accountability(Y, T, Z2), true, Y, Z, W, V, U, X2, Y2, Z2).
% 0.20/0.68 Axiom 44 (a2_FOL_5): fresh41(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh43(reproducibility(Y, S, Y2), true, Y, Z, W, V, U, T, Y2, Z2).
% 0.20/0.68 Axiom 45 (a2_FOL_6): fresh34(X, X, Y, Z, W, V, U, T, S, X2) = fresh36(accountability(Y, U, S), true, Y, Z, W, V, U, T, S, X2).
% 0.20/0.68 Axiom 46 (a2_FOL_6): fresh33(X, X, Y, Z, W, V, U, T, S, X2, Y2) = fresh35(accountability(Z, T, W), true, Y, Z, W, V, U, T, X2, Y2).
% 0.20/0.68 Axiom 47 (a2_FOL_6): fresh32(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh34(reproducibility(Y, S, Y2), true, Y, Z, W, V, U, T, Y2, Z2).
% 0.20/0.68 Axiom 48 (a3_FOL_9): fresh5(X, X, Y, Z, W, V, U, T, S, X2) = fresh7(reorganization_free(Y, X2, X2), true, Y, Z, W, V, U, T, S, X2).
% 0.20/0.68 Axiom 49 (a3_FOL_9): fresh4(X, X, Y, Z, W, V, U, T, S, X2) = fresh6(reorganization_free(Z, W, W), true, Y, Z, W, V, U, T, S, X2).
% 0.20/0.68 Axiom 50 (a3_FOL_9): fresh4(inertia(X, Y, Z), true, W, X, Z, V, U, T, Y, S) = fresh5(inertia(W, T, S), true, W, X, Z, V, U, T, Y, S).
% 0.20/0.68 Axiom 51 (a1_FOL_4): fresh52(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh54(accountability(Z, S, W), true, Y, Z, W, V, U, T, X2, Y2, Z2).
% 0.20/0.68 Axiom 52 (a1_FOL_4): fresh50(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh51(greater(U, V), true, Y, Z, W, V, U, T, S, X2, Y2, Z2).
% 0.20/0.68 Axiom 53 (a2_FOL_5): fresh41(greater(X, Y), true, Z, W, V, U, T, S, Y, X, X2, Y2) = fresh42(reproducibility(W, X, V), true, Z, W, V, U, T, S, Y, X2, Y2).
% 0.20/0.68 Axiom 54 (a2_FOL_6): fresh32(greater(X, Y), true, Z, W, V, U, T, S, Y, X, X2, Y2) = fresh33(reproducibility(W, X, V), true, Z, W, V, U, T, S, Y, X2, Y2).
% 0.20/0.68 Axiom 55 (a1_FOL_4): fresh51(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh53(survival_chance(Y, X2, Z2), true, Y, Z, W, V, U, T, S, X2, Y2, Z2).
% 0.20/0.68 Axiom 56 (a1_FOL_4): fresh50(greater(X, Y), true, Z, W, V, U, T, Y, X, S, X2, Y2) = fresh52(survival_chance(W, X2, V), true, Z, W, V, U, T, Y, X, S, X2, Y2).
% 0.20/0.68
% 0.20/0.68 Lemma 57: reliability(sk4, sk1(sk6, sk4), sk6) = true.
% 0.20/0.68 Proof:
% 0.20/0.68 reliability(sk4, sk1(sk6, sk4), sk6)
% 0.20/0.68 = { by axiom 22 (mp1_1) R->L }
% 0.20/0.68 fresh3(organization(sk4, sk6), true, sk4, sk6)
% 0.20/0.68 = { by axiom 2 (t1_FOL_10) }
% 0.20/0.68 fresh3(true, true, sk4, sk6)
% 0.20/0.68 = { by axiom 15 (mp1_1) }
% 0.20/0.68 true
% 0.20/0.68
% 0.20/0.68 Lemma 58: reliability(sk5, sk1(sk7, sk5), sk7) = true.
% 0.20/0.68 Proof:
% 0.20/0.68 reliability(sk5, sk1(sk7, sk5), sk7)
% 0.20/0.68 = { by axiom 22 (mp1_1) R->L }
% 0.20/0.68 fresh3(organization(sk5, sk7), true, sk5, sk7)
% 0.20/0.68 = { by axiom 3 (t1_FOL_11) }
% 0.20/0.68 fresh3(true, true, sk5, sk7)
% 0.20/0.68 = { by axiom 15 (mp1_1) }
% 0.20/0.68 true
% 0.20/0.68
% 0.20/0.68 Lemma 59: accountability(sk4, sk2(sk6, sk4), sk6) = true.
% 0.20/0.68 Proof:
% 0.20/0.68 accountability(sk4, sk2(sk6, sk4), sk6)
% 0.20/0.68 = { by axiom 23 (mp2_2) R->L }
% 0.20/0.68 fresh2(organization(sk4, sk6), true, sk4, sk6)
% 0.20/0.68 = { by axiom 2 (t1_FOL_10) }
% 0.20/0.68 fresh2(true, true, sk4, sk6)
% 0.20/0.68 = { by axiom 16 (mp2_2) }
% 0.20/0.68 true
% 0.20/0.68
% 0.20/0.68 Lemma 60: accountability(sk5, sk2(sk7, sk5), sk7) = true.
% 0.20/0.68 Proof:
% 0.20/0.68 accountability(sk5, sk2(sk7, sk5), sk7)
% 0.20/0.68 = { by axiom 23 (mp2_2) R->L }
% 0.20/0.68 fresh2(organization(sk5, sk7), true, sk5, sk7)
% 0.20/0.68 = { by axiom 3 (t1_FOL_11) }
% 0.20/0.68 fresh2(true, true, sk5, sk7)
% 0.20/0.68 = { by axiom 16 (mp2_2) }
% 0.20/0.68 true
% 0.20/0.68
% 0.20/0.68 Lemma 61: reproducibility(sk4, sk3(sk6, sk4), sk6) = true.
% 0.20/0.68 Proof:
% 0.20/0.68 reproducibility(sk4, sk3(sk6, sk4), sk6)
% 0.20/0.68 = { by axiom 17 (mp3_3) R->L }
% 0.20/0.68 fresh(organization(sk4, sk6), true, sk4, sk6)
% 0.20/0.68 = { by axiom 2 (t1_FOL_10) }
% 0.20/0.68 fresh(true, true, sk4, sk6)
% 0.20/0.68 = { by axiom 10 (mp3_3) }
% 0.20/0.68 true
% 0.20/0.68
% 0.20/0.68 Lemma 62: reproducibility(sk5, sk3(sk7, sk5), sk7) = true.
% 0.20/0.68 Proof:
% 0.20/0.68 reproducibility(sk5, sk3(sk7, sk5), sk7)
% 0.20/0.68 = { by axiom 17 (mp3_3) R->L }
% 0.20/0.68 fresh(organization(sk5, sk7), true, sk5, sk7)
% 0.20/0.68 = { by axiom 3 (t1_FOL_11) }
% 0.20/0.68 fresh(true, true, sk5, sk7)
% 0.20/0.68 = { by axiom 10 (mp3_3) }
% 0.20/0.68 true
% 0.20/0.68
% 0.20/0.68 Lemma 63: greater(sk3(sk7, sk5), sk3(sk6, sk4)) = true.
% 0.20/0.68 Proof:
% 0.20/0.68 greater(sk3(sk7, sk5), sk3(sk6, sk4))
% 0.20/0.68 = { by axiom 21 (a3_FOL_9) R->L }
% 0.20/0.68 fresh10(true, true, sk4, sk3(sk6, sk4), sk3(sk7, sk5), sk6)
% 0.20/0.68 = { by axiom 3 (t1_FOL_11) R->L }
% 0.20/0.68 fresh10(organization(sk5, sk7), true, sk4, sk3(sk6, sk4), sk3(sk7, sk5), sk6)
% 0.20/0.68 = { by axiom 29 (a3_FOL_9) R->L }
% 0.20/0.68 fresh9(true, true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk6)
% 0.20/0.68 = { by lemma 62 R->L }
% 0.20/0.68 fresh9(reproducibility(sk5, sk3(sk7, sk5), sk7), true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk6)
% 0.20/0.68 = { by axiom 39 (a3_FOL_9) R->L }
% 0.20/0.68 fresh6(true, true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk8, sk9, sk6)
% 0.20/0.68 = { by axiom 7 (t1_FOL_13) R->L }
% 0.20/0.68 fresh6(reorganization_free(sk5, sk7, sk7), true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk8, sk9, sk6)
% 0.20/0.68 = { by axiom 49 (a3_FOL_9) R->L }
% 0.20/0.68 fresh4(true, true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk8, sk9, sk6)
% 0.20/0.68 = { by axiom 9 (t1_FOL_15) R->L }
% 0.20/0.68 fresh4(inertia(sk5, sk9, sk7), true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk8, sk9, sk6)
% 0.20/0.68 = { by axiom 50 (a3_FOL_9) }
% 0.20/0.68 fresh5(inertia(sk4, sk8, sk6), true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk8, sk9, sk6)
% 0.20/0.68 = { by axiom 8 (t1_FOL_14) }
% 0.20/0.68 fresh5(true, true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk8, sk9, sk6)
% 0.20/0.68 = { by axiom 48 (a3_FOL_9) }
% 0.20/0.68 fresh7(reorganization_free(sk4, sk6, sk6), true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk8, sk9, sk6)
% 0.20/0.68 = { by axiom 6 (t1_FOL_12) }
% 0.20/0.68 fresh7(true, true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk8, sk9, sk6)
% 0.20/0.68 = { by axiom 32 (a3_FOL_9) }
% 0.20/0.68 fresh8(greater(sk9, sk8), true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk6)
% 0.20/0.68 = { by axiom 1 (t1_FOL_18) }
% 0.20/0.68 fresh8(true, true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk6)
% 0.20/0.68 = { by axiom 38 (a3_FOL_9) }
% 0.20/0.68 fresh11(reproducibility(sk4, sk3(sk6, sk4), sk6), true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk6)
% 0.20/0.68 = { by lemma 61 }
% 0.20/0.68 fresh11(true, true, sk4, sk5, sk7, sk3(sk6, sk4), sk3(sk7, sk5), sk6)
% 0.20/0.68 = { by axiom 28 (a3_FOL_9) }
% 0.20/0.68 fresh12(organization(sk4, sk6), true, sk3(sk6, sk4), sk3(sk7, sk5))
% 0.20/0.68 = { by axiom 2 (t1_FOL_10) }
% 0.20/0.68 fresh12(true, true, sk3(sk6, sk4), sk3(sk7, sk5))
% 0.20/0.68 = { by axiom 14 (a3_FOL_9) }
% 0.20/0.68 true
% 0.20/0.68
% 0.20/0.68 Goal 1 (t1_FOL_19): greater(sk11, sk10) = true.
% 0.20/0.68 Proof:
% 0.20/0.68 greater(sk11, sk10)
% 0.20/0.68 = { by axiom 18 (a1_FOL_4) R->L }
% 0.20/0.68 fresh57(true, true, sk4, sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 3 (t1_FOL_11) R->L }
% 0.20/0.68 fresh57(organization(sk5, sk7), true, sk4, sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 30 (a1_FOL_4) R->L }
% 0.20/0.68 fresh56(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 58 R->L }
% 0.20/0.68 fresh56(reliability(sk5, sk1(sk7, sk5), sk7), true, sk4, sk5, sk7, sk1(sk6, sk4), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 40 (a1_FOL_4) R->L }
% 0.20/0.68 fresh54(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 60 R->L }
% 0.20/0.68 fresh54(accountability(sk5, sk2(sk7, sk5), sk7), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 51 (a1_FOL_4) R->L }
% 0.20/0.68 fresh52(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 5 (t1_FOL_17) R->L }
% 0.20/0.68 fresh52(survival_chance(sk5, sk11, sk7), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 56 (a1_FOL_4) R->L }
% 0.20/0.68 fresh50(greater(sk2(sk7, sk5), sk2(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 20 (a2_FOL_6) R->L }
% 0.20/0.68 fresh50(fresh38(true, true, sk4, sk2(sk6, sk4), sk2(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 3 (t1_FOL_11) R->L }
% 0.20/0.68 fresh50(fresh38(organization(sk5, sk7), true, sk4, sk2(sk6, sk4), sk2(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 31 (a2_FOL_6) R->L }
% 0.20/0.68 fresh50(fresh37(true, true, sk4, sk5, sk7, sk2(sk6, sk4), sk2(sk7, sk5), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 58 R->L }
% 0.20/0.68 fresh50(fresh37(reliability(sk5, sk1(sk7, sk5), sk7), true, sk4, sk5, sk7, sk2(sk6, sk4), sk2(sk7, sk5), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 42 (a2_FOL_6) R->L }
% 0.20/0.68 fresh50(fresh35(true, true, sk4, sk5, sk7, sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 60 R->L }
% 0.20/0.68 fresh50(fresh35(accountability(sk5, sk2(sk7, sk5), sk7), true, sk4, sk5, sk7, sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 46 (a2_FOL_6) R->L }
% 0.20/0.68 fresh50(fresh33(true, true, sk4, sk5, sk7, sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk3(sk6, sk4), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 62 R->L }
% 0.20/0.68 fresh50(fresh33(reproducibility(sk5, sk3(sk7, sk5), sk7), true, sk4, sk5, sk7, sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk3(sk6, sk4), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 54 (a2_FOL_6) R->L }
% 0.20/0.68 fresh50(fresh32(greater(sk3(sk7, sk5), sk3(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk3(sk6, sk4), sk3(sk7, sk5), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 63 }
% 0.20/0.68 fresh50(fresh32(true, true, sk4, sk5, sk7, sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk3(sk6, sk4), sk3(sk7, sk5), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 47 (a2_FOL_6) }
% 0.20/0.68 fresh50(fresh34(reproducibility(sk4, sk3(sk6, sk4), sk6), true, sk4, sk5, sk7, sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 61 }
% 0.20/0.68 fresh50(fresh34(true, true, sk4, sk5, sk7, sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 45 (a2_FOL_6) }
% 0.20/0.68 fresh50(fresh36(accountability(sk4, sk2(sk6, sk4), sk6), true, sk4, sk5, sk7, sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 59 }
% 0.20/0.68 fresh50(fresh36(true, true, sk4, sk5, sk7, sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk6, sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 37 (a2_FOL_6) }
% 0.20/0.68 fresh50(fresh39(reliability(sk4, sk1(sk6, sk4), sk6), true, sk4, sk5, sk7, sk2(sk6, sk4), sk2(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 57 }
% 0.20/0.68 fresh50(fresh39(true, true, sk4, sk5, sk7, sk2(sk6, sk4), sk2(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 27 (a2_FOL_6) }
% 0.20/0.68 fresh50(fresh40(organization(sk4, sk6), true, sk2(sk6, sk4), sk2(sk7, sk5)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 2 (t1_FOL_10) }
% 0.20/0.68 fresh50(fresh40(true, true, sk2(sk6, sk4), sk2(sk7, sk5)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 13 (a2_FOL_6) }
% 0.20/0.68 fresh50(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 52 (a1_FOL_4) }
% 0.20/0.68 fresh51(greater(sk1(sk7, sk5), sk1(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 19 (a2_FOL_5) R->L }
% 0.20/0.68 fresh51(fresh47(true, true, sk4, sk1(sk6, sk4), sk1(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 3 (t1_FOL_11) R->L }
% 0.20/0.68 fresh51(fresh47(organization(sk5, sk7), true, sk4, sk1(sk6, sk4), sk1(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 26 (a2_FOL_5) R->L }
% 0.20/0.68 fresh51(fresh46(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 58 R->L }
% 0.20/0.68 fresh51(fresh46(reliability(sk5, sk1(sk7, sk5), sk7), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 35 (a2_FOL_5) R->L }
% 0.20/0.68 fresh51(fresh44(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk6, sk2(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 60 R->L }
% 0.20/0.68 fresh51(fresh44(accountability(sk5, sk2(sk7, sk5), sk7), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk6, sk2(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 41 (a2_FOL_5) R->L }
% 0.20/0.68 fresh51(fresh42(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk7, sk5), sk3(sk6, sk4), sk6, sk2(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 62 R->L }
% 0.20/0.68 fresh51(fresh42(reproducibility(sk5, sk3(sk7, sk5), sk7), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk7, sk5), sk3(sk6, sk4), sk6, sk2(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 53 (a2_FOL_5) R->L }
% 0.20/0.68 fresh51(fresh41(greater(sk3(sk7, sk5), sk3(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk7, sk5), sk3(sk6, sk4), sk3(sk7, sk5), sk6, sk2(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 63 }
% 0.20/0.68 fresh51(fresh41(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk7, sk5), sk3(sk6, sk4), sk3(sk7, sk5), sk6, sk2(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 44 (a2_FOL_5) }
% 0.20/0.68 fresh51(fresh43(reproducibility(sk4, sk3(sk6, sk4), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk7, sk5), sk6, sk2(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 61 }
% 0.20/0.68 fresh51(fresh43(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk7, sk5), sk6, sk2(sk6, sk4)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 36 (a2_FOL_5) }
% 0.20/0.68 fresh51(fresh45(accountability(sk4, sk2(sk6, sk4), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 59 }
% 0.20/0.68 fresh51(fresh45(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 34 (a2_FOL_5) }
% 0.20/0.68 fresh51(fresh48(reliability(sk4, sk1(sk6, sk4), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 57 }
% 0.20/0.68 fresh51(fresh48(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 25 (a2_FOL_5) }
% 0.20/0.68 fresh51(fresh49(organization(sk4, sk6), true, sk1(sk6, sk4), sk1(sk7, sk5)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 2 (t1_FOL_10) }
% 0.20/0.68 fresh51(fresh49(true, true, sk1(sk6, sk4), sk1(sk7, sk5)), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 12 (a2_FOL_5) }
% 0.20/0.68 fresh51(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 55 (a1_FOL_4) }
% 0.20/0.68 fresh53(survival_chance(sk4, sk10, sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 4 (t1_FOL_16) }
% 0.20/0.68 fresh53(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk2(sk6, sk4), sk2(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 43 (a1_FOL_4) }
% 0.20/0.68 fresh55(accountability(sk4, sk2(sk6, sk4), sk6), true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 59 }
% 0.20/0.68 fresh55(true, true, sk4, sk5, sk7, sk1(sk6, sk4), sk1(sk7, sk5), sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 33 (a1_FOL_4) }
% 0.20/0.68 fresh58(reliability(sk4, sk1(sk6, sk4), sk6), true, sk4, sk5, sk7, sk10, sk11, sk6)
% 0.20/0.68 = { by lemma 57 }
% 0.20/0.68 fresh58(true, true, sk4, sk5, sk7, sk10, sk11, sk6)
% 0.20/0.68 = { by axiom 24 (a1_FOL_4) }
% 0.20/0.68 fresh59(organization(sk4, sk6), true, sk10, sk11)
% 0.20/0.68 = { by axiom 2 (t1_FOL_10) }
% 0.20/0.68 fresh59(true, true, sk10, sk11)
% 0.20/0.68 = { by axiom 11 (a1_FOL_4) }
% 0.20/0.68 true
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68
% 0.20/0.68 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------