TSTP Solution File: MGT002-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : MGT002-1 : 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 : n009.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 : Unsatisfiable 0.17s 0.43s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT002-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 06:31:05 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.43 Command-line arguments: --flatten
% 0.17/0.43
% 0.17/0.43 % SZS status Unsatisfiable
% 0.17/0.43
% 0.17/0.49 % SZS output start Proof
% 0.17/0.49 Take the following subset of the input axioms:
% 0.17/0.49 fof(a3_FOL_4, hypothesis, ![B, C, D, E, F, G, H, A2]: (~organization(A2, B) | (~organization(C, D) | (~reorganization_free(A2, B, B) | (~reorganization_free(C, D, D) | (~reproducibility(A2, E, B) | (~reproducibility(C, F, D) | (~inertia(A2, G, B) | (~inertia(C, H, D) | (~greater(F, E) | greater(H, G))))))))))).
% 0.17/0.49 fof(a4_FOL_6, hypothesis, ![B2, C2, A2_2, D2, E2]: (~organization(A2_2, B2) | (~organization(A2_2, C2) | (~reorganization_free(A2_2, B2, C2) | (~reproducibility(A2_2, D2, B2) | (~reproducibility(A2_2, E2, C2) | (~greater(C2, B2) | greater(E2, D2)))))))).
% 0.17/0.50 fof(mp3_1, axiom, ![B2, A2_2]: (~organization(A2_2, B2) | reproducibility(A2_2, sk1(B2, A2_2), B2))).
% 0.17/0.50 fof(mp4_2, axiom, ![B2, C2, A2_2]: (~reorganization_free(A2_2, B2, C2) | reorganization_free(A2_2, B2, B2))).
% 0.17/0.50 fof(mp4_3, axiom, ![B2, C2, A2_2]: (~reorganization_free(A2_2, B2, C2) | reorganization_free(A2_2, C2, C2))).
% 0.17/0.50 fof(t2_FOL_10, negated_conjecture, inertia(sk2, sk3, sk5)).
% 0.17/0.50 fof(t2_FOL_11, negated_conjecture, inertia(sk2, sk4, sk6)).
% 0.17/0.50 fof(t2_FOL_12, negated_conjecture, greater(sk6, sk5)).
% 0.17/0.50 fof(t2_FOL_13, negated_conjecture, ~greater(sk4, sk3)).
% 0.17/0.50 fof(t2_FOL_7, negated_conjecture, organization(sk2, sk5)).
% 0.17/0.50 fof(t2_FOL_8, negated_conjecture, organization(sk2, sk6)).
% 0.17/0.50 fof(t2_FOL_9, negated_conjecture, reorganization_free(sk2, sk5, sk6)).
% 0.17/0.50
% 0.17/0.50 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.17/0.50 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.17/0.50 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.17/0.50 fresh(y, y, x1...xn) = u
% 0.17/0.50 C => fresh(s, t, x1...xn) = v
% 0.17/0.50 where fresh is a fresh function symbol and x1..xn are the free
% 0.17/0.50 variables of u and v.
% 0.17/0.50 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.17/0.50 input problem has no model of domain size 1).
% 0.17/0.50
% 0.17/0.50 The encoding turns the above axioms into the following unit equations and goals:
% 0.17/0.50
% 0.17/0.50 Axiom 1 (t2_FOL_12): greater(sk6, sk5) = true.
% 0.17/0.50 Axiom 2 (t2_FOL_7): organization(sk2, sk5) = true.
% 0.17/0.50 Axiom 3 (t2_FOL_8): organization(sk2, sk6) = true.
% 0.17/0.50 Axiom 4 (t2_FOL_10): inertia(sk2, sk3, sk5) = true.
% 0.17/0.50 Axiom 5 (t2_FOL_11): inertia(sk2, sk4, sk6) = true.
% 0.17/0.50 Axiom 6 (t2_FOL_9): reorganization_free(sk2, sk5, sk6) = true.
% 0.17/0.50 Axiom 7 (mp4_3): fresh(X, X, Y, Z) = true.
% 0.17/0.50 Axiom 8 (a3_FOL_4): fresh27(X, X, Y, Z) = true.
% 0.17/0.50 Axiom 9 (a4_FOL_6): fresh9(X, X, Y, Z) = true.
% 0.17/0.50 Axiom 10 (mp3_1): fresh3(X, X, Y, Z) = true.
% 0.17/0.50 Axiom 11 (mp4_2): fresh2(X, X, Y, Z) = true.
% 0.17/0.50 Axiom 12 (a3_FOL_4): fresh25(X, X, Y, Z, W, V) = greater(W, Z).
% 0.17/0.50 Axiom 13 (a4_FOL_6): fresh7(X, X, Y, Z, W, V) = greater(V, W).
% 0.17/0.50 Axiom 14 (mp3_1): fresh3(organization(X, Y), true, X, Y) = reproducibility(X, sk1(Y, X), Y).
% 0.17/0.50 Axiom 15 (mp4_3): fresh(reorganization_free(X, Y, Z), true, X, Z) = reorganization_free(X, Z, Z).
% 0.17/0.50 Axiom 16 (a4_FOL_6): fresh8(X, X, Y, Z, W, V, U) = fresh9(organization(Y, Z), true, V, U).
% 0.17/0.50 Axiom 17 (mp4_2): fresh2(reorganization_free(X, Y, Z), true, X, Y) = reorganization_free(X, Y, Y).
% 0.17/0.50 Axiom 18 (a3_FOL_4): fresh26(X, X, Y, Z, W, V, U, T) = fresh27(organization(Y, T), true, V, U).
% 0.17/0.50 Axiom 19 (a4_FOL_6): fresh6(X, X, Y, Z, W, V, U) = fresh7(organization(Y, W), true, Y, Z, V, U).
% 0.17/0.50 Axiom 20 (a3_FOL_4): fresh24(X, X, Y, Z, W, V, U, T, S) = fresh25(organization(Z, W), true, Y, U, T, S).
% 0.17/0.50 Axiom 21 (a4_FOL_6): fresh5(X, X, Y, Z, W, V, U) = fresh8(reproducibility(Y, V, Z), true, Y, Z, W, V, U).
% 0.17/0.50 Axiom 22 (a4_FOL_6): fresh4(X, X, Y, Z, W, V, U) = fresh6(reproducibility(Y, U, W), true, Y, Z, W, V, U).
% 0.17/0.50 Axiom 23 (a4_FOL_6): fresh4(greater(X, Y), true, Z, Y, X, W, V) = fresh5(reorganization_free(Z, Y, X), true, Z, Y, X, W, V).
% 0.17/0.50 Axiom 24 (a3_FOL_4): fresh23(X, X, Y, Z, W, V, U, T, S, X2) = fresh26(reproducibility(Y, V, X2), true, Y, Z, W, T, S, X2).
% 0.17/0.50 Axiom 25 (a3_FOL_4): fresh22(X, X, Y, Z, W, V, U, T, S, X2) = fresh24(reproducibility(Z, U, W), true, Y, Z, W, V, T, S, X2).
% 0.17/0.50 Axiom 26 (a3_FOL_4): fresh21(X, X, Y, Z, W, V, U, T, S, X2) = fresh23(reorganization_free(Y, X2, X2), true, Y, Z, W, V, U, T, S, X2).
% 0.17/0.50 Axiom 27 (a3_FOL_4): fresh20(X, X, Y, Z, W, V, U, T, S, X2) = fresh22(reorganization_free(Z, W, W), true, Y, Z, W, V, U, T, S, X2).
% 0.17/0.50 Axiom 28 (a3_FOL_4): fresh19(X, X, Y, Z, W, V, U, T, S, X2) = fresh21(inertia(Y, T, X2), true, Y, Z, W, V, U, T, S, X2).
% 0.17/0.50 Axiom 29 (a3_FOL_4): fresh19(greater(X, Y), true, Z, W, V, Y, X, U, T, S) = fresh20(inertia(W, T, V), true, Z, W, V, Y, X, U, T, S).
% 0.17/0.50
% 0.17/0.50 Lemma 30: organization(sk2, sk5) = greater(sk6, sk5).
% 0.17/0.50 Proof:
% 0.17/0.50 organization(sk2, sk5)
% 0.17/0.50 = { by axiom 2 (t2_FOL_7) }
% 0.17/0.50 true
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 greater(sk6, sk5)
% 0.17/0.50
% 0.17/0.50 Lemma 31: organization(sk2, sk6) = organization(sk2, sk5).
% 0.17/0.50 Proof:
% 0.17/0.50 organization(sk2, sk6)
% 0.17/0.50 = { by axiom 3 (t2_FOL_8) }
% 0.17/0.50 true
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 greater(sk6, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 organization(sk2, sk5)
% 0.17/0.50
% 0.17/0.50 Lemma 32: reorganization_free(sk2, sk5, sk6) = organization(sk2, sk5).
% 0.17/0.50 Proof:
% 0.17/0.50 reorganization_free(sk2, sk5, sk6)
% 0.17/0.50 = { by axiom 6 (t2_FOL_9) }
% 0.17/0.50 true
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 greater(sk6, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 organization(sk2, sk5)
% 0.17/0.50
% 0.17/0.50 Lemma 33: fresh3(X, X, Y, Z) = organization(sk2, sk5).
% 0.17/0.50 Proof:
% 0.17/0.50 fresh3(X, X, Y, Z)
% 0.17/0.50 = { by axiom 10 (mp3_1) }
% 0.17/0.50 true
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 greater(sk6, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 organization(sk2, sk5)
% 0.17/0.50
% 0.17/0.50 Lemma 34: fresh3(organization(X, Y), organization(sk2, sk5), X, Y) = reproducibility(X, sk1(Y, X), Y).
% 0.17/0.50 Proof:
% 0.17/0.50 fresh3(organization(X, Y), organization(sk2, sk5), X, Y)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh3(organization(X, Y), greater(sk6, sk5), X, Y)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh3(organization(X, Y), true, X, Y)
% 0.17/0.50 = { by axiom 14 (mp3_1) }
% 0.17/0.50 reproducibility(X, sk1(Y, X), Y)
% 0.17/0.50
% 0.17/0.50 Lemma 35: reproducibility(sk2, sk1(sk5, sk2), sk5) = organization(sk2, sk5).
% 0.17/0.50 Proof:
% 0.17/0.50 reproducibility(sk2, sk1(sk5, sk2), sk5)
% 0.17/0.50 = { by lemma 34 R->L }
% 0.17/0.50 fresh3(organization(sk2, sk5), organization(sk2, sk5), sk2, sk5)
% 0.17/0.50 = { by lemma 33 }
% 0.17/0.50 organization(sk2, sk5)
% 0.17/0.50
% 0.17/0.50 Lemma 36: reproducibility(sk2, sk1(sk6, sk2), sk6) = organization(sk2, sk5).
% 0.17/0.50 Proof:
% 0.17/0.50 reproducibility(sk2, sk1(sk6, sk2), sk6)
% 0.17/0.50 = { by lemma 34 R->L }
% 0.17/0.50 fresh3(organization(sk2, sk6), organization(sk2, sk5), sk2, sk6)
% 0.17/0.50 = { by lemma 31 }
% 0.17/0.50 fresh3(organization(sk2, sk5), organization(sk2, sk5), sk2, sk6)
% 0.17/0.50 = { by lemma 33 }
% 0.17/0.50 organization(sk2, sk5)
% 0.17/0.50
% 0.17/0.50 Goal 1 (t2_FOL_13): greater(sk4, sk3) = true.
% 0.17/0.50 Proof:
% 0.17/0.50 greater(sk4, sk3)
% 0.17/0.50 = { by axiom 12 (a3_FOL_4) R->L }
% 0.17/0.50 fresh25(organization(sk2, sk5), organization(sk2, sk5), sk2, sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 31 R->L }
% 0.17/0.50 fresh25(organization(sk2, sk6), organization(sk2, sk5), sk2, sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh25(organization(sk2, sk6), greater(sk6, sk5), sk2, sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh25(organization(sk2, sk6), true, sk2, sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 20 (a3_FOL_4) R->L }
% 0.17/0.50 fresh24(organization(sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 36 R->L }
% 0.17/0.50 fresh24(reproducibility(sk2, sk1(sk6, sk2), sk6), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh24(reproducibility(sk2, sk1(sk6, sk2), sk6), greater(sk6, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh24(reproducibility(sk2, sk1(sk6, sk2), sk6), true, sk2, sk2, sk6, sk1(sk5, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 25 (a3_FOL_4) R->L }
% 0.17/0.50 fresh22(organization(sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh22(greater(sk6, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh22(true, organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 7 (mp4_3) R->L }
% 0.17/0.50 fresh22(fresh(organization(sk2, sk5), organization(sk2, sk5), sk2, sk6), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 32 R->L }
% 0.17/0.50 fresh22(fresh(reorganization_free(sk2, sk5, sk6), organization(sk2, sk5), sk2, sk6), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh22(fresh(reorganization_free(sk2, sk5, sk6), greater(sk6, sk5), sk2, sk6), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh22(fresh(reorganization_free(sk2, sk5, sk6), true, sk2, sk6), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 15 (mp4_3) }
% 0.17/0.50 fresh22(reorganization_free(sk2, sk6, sk6), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh22(reorganization_free(sk2, sk6, sk6), greater(sk6, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh22(reorganization_free(sk2, sk6, sk6), true, sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 27 (a3_FOL_4) R->L }
% 0.17/0.50 fresh20(organization(sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh20(greater(sk6, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh20(true, organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 5 (t2_FOL_11) R->L }
% 0.17/0.50 fresh20(inertia(sk2, sk4, sk6), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh20(inertia(sk2, sk4, sk6), greater(sk6, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh20(inertia(sk2, sk4, sk6), true, sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 29 (a3_FOL_4) R->L }
% 0.17/0.50 fresh19(greater(sk1(sk6, sk2), sk1(sk5, sk2)), true, sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh19(greater(sk1(sk6, sk2), sk1(sk5, sk2)), greater(sk6, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh19(greater(sk1(sk6, sk2), sk1(sk5, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 13 (a4_FOL_6) R->L }
% 0.17/0.50 fresh19(fresh7(organization(sk2, sk5), organization(sk2, sk5), sk2, sk5, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 31 R->L }
% 0.17/0.50 fresh19(fresh7(organization(sk2, sk6), organization(sk2, sk5), sk2, sk5, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh19(fresh7(organization(sk2, sk6), greater(sk6, sk5), sk2, sk5, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh19(fresh7(organization(sk2, sk6), true, sk2, sk5, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 19 (a4_FOL_6) R->L }
% 0.17/0.50 fresh19(fresh6(organization(sk2, sk5), organization(sk2, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 36 R->L }
% 0.17/0.50 fresh19(fresh6(reproducibility(sk2, sk1(sk6, sk2), sk6), organization(sk2, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh19(fresh6(reproducibility(sk2, sk1(sk6, sk2), sk6), greater(sk6, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh19(fresh6(reproducibility(sk2, sk1(sk6, sk2), sk6), true, sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 22 (a4_FOL_6) R->L }
% 0.17/0.50 fresh19(fresh4(organization(sk2, sk5), organization(sk2, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh19(fresh4(greater(sk6, sk5), organization(sk2, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 }
% 0.17/0.50 fresh19(fresh4(greater(sk6, sk5), greater(sk6, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) }
% 0.17/0.50 fresh19(fresh4(greater(sk6, sk5), true, sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 23 (a4_FOL_6) }
% 0.17/0.50 fresh19(fresh5(reorganization_free(sk2, sk5, sk6), true, sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh19(fresh5(reorganization_free(sk2, sk5, sk6), greater(sk6, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh19(fresh5(reorganization_free(sk2, sk5, sk6), organization(sk2, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 32 }
% 0.17/0.50 fresh19(fresh5(organization(sk2, sk5), organization(sk2, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 21 (a4_FOL_6) }
% 0.17/0.50 fresh19(fresh8(reproducibility(sk2, sk1(sk5, sk2), sk5), true, sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh19(fresh8(reproducibility(sk2, sk1(sk5, sk2), sk5), greater(sk6, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh19(fresh8(reproducibility(sk2, sk1(sk5, sk2), sk5), organization(sk2, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 35 }
% 0.17/0.50 fresh19(fresh8(organization(sk2, sk5), organization(sk2, sk5), sk2, sk5, sk6, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 16 (a4_FOL_6) }
% 0.17/0.50 fresh19(fresh9(organization(sk2, sk5), true, sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh19(fresh9(organization(sk2, sk5), greater(sk6, sk5), sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh19(fresh9(organization(sk2, sk5), organization(sk2, sk5), sk1(sk5, sk2), sk1(sk6, sk2)), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 9 (a4_FOL_6) }
% 0.17/0.50 fresh19(true, organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh19(greater(sk6, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh19(organization(sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 28 (a3_FOL_4) }
% 0.17/0.50 fresh21(inertia(sk2, sk3, sk5), true, sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh21(inertia(sk2, sk3, sk5), greater(sk6, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh21(inertia(sk2, sk3, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 4 (t2_FOL_10) }
% 0.17/0.50 fresh21(true, organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh21(greater(sk6, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh21(organization(sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 26 (a3_FOL_4) }
% 0.17/0.50 fresh23(reorganization_free(sk2, sk5, sk5), true, sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh23(reorganization_free(sk2, sk5, sk5), greater(sk6, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh23(reorganization_free(sk2, sk5, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 17 (mp4_2) R->L }
% 0.17/0.50 fresh23(fresh2(reorganization_free(sk2, sk5, sk6), true, sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh23(fresh2(reorganization_free(sk2, sk5, sk6), greater(sk6, sk5), sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh23(fresh2(reorganization_free(sk2, sk5, sk6), organization(sk2, sk5), sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 32 }
% 0.17/0.50 fresh23(fresh2(organization(sk2, sk5), organization(sk2, sk5), sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 11 (mp4_2) }
% 0.17/0.50 fresh23(true, organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh23(greater(sk6, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh23(organization(sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk1(sk5, sk2), sk1(sk6, sk2), sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 24 (a3_FOL_4) }
% 0.17/0.50 fresh26(reproducibility(sk2, sk1(sk5, sk2), sk5), true, sk2, sk2, sk6, sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh26(reproducibility(sk2, sk1(sk5, sk2), sk5), greater(sk6, sk5), sk2, sk2, sk6, sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh26(reproducibility(sk2, sk1(sk5, sk2), sk5), organization(sk2, sk5), sk2, sk2, sk6, sk3, sk4, sk5)
% 0.17/0.50 = { by lemma 35 }
% 0.17/0.50 fresh26(organization(sk2, sk5), organization(sk2, sk5), sk2, sk2, sk6, sk3, sk4, sk5)
% 0.17/0.50 = { by axiom 18 (a3_FOL_4) }
% 0.17/0.50 fresh27(organization(sk2, sk5), true, sk3, sk4)
% 0.17/0.50 = { by axiom 1 (t2_FOL_12) R->L }
% 0.17/0.50 fresh27(organization(sk2, sk5), greater(sk6, sk5), sk3, sk4)
% 0.17/0.50 = { by lemma 30 R->L }
% 0.17/0.50 fresh27(organization(sk2, sk5), organization(sk2, sk5), sk3, sk4)
% 0.17/0.50 = { by axiom 8 (a3_FOL_4) }
% 0.17/0.50 true
% 0.17/0.50 % SZS output end Proof
% 0.17/0.50
% 0.17/0.50 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------