TSTP Solution File: MGT059-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : MGT059-1 : 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 09:17:16 EDT 2023
% Result : Unsatisfiable 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : MGT059-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.33 % Computer : n031.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 28 06:40:39 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.19/0.38 Command-line arguments: --ground-connectedness --complete-subsets
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% 0.19/0.38 % SZS status Unsatisfiable
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% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 Take the following subset of the input axioms:
% 0.19/0.38 fof(assumption_17_32, axiom, ![B, A2]: (~organization(A2) | (~has_immunity(A2, B) | hazard_of_mortality(A2, B)=very_low))).
% 0.19/0.38 fof(assumption_2_37, negated_conjecture, organization(sk1)).
% 0.19/0.38 fof(assumption_2_38, negated_conjecture, has_immunity(sk1, sk2)).
% 0.19/0.38 fof(assumption_2_39, negated_conjecture, has_immunity(sk1, sk3)).
% 0.19/0.38 fof(assumption_2_40, negated_conjecture, hazard_of_mortality(sk1, sk2)!=hazard_of_mortality(sk1, sk3)).
% 0.19/0.38
% 0.19/0.38 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.19/0.38 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.19/0.38 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.19/0.38 fresh(y, y, x1...xn) = u
% 0.19/0.38 C => fresh(s, t, x1...xn) = v
% 0.19/0.38 where fresh is a fresh function symbol and x1..xn are the free
% 0.19/0.38 variables of u and v.
% 0.19/0.38 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.19/0.38 input problem has no model of domain size 1).
% 0.19/0.38
% 0.19/0.38 The encoding turns the above axioms into the following unit equations and goals:
% 0.19/0.38
% 0.19/0.38 Axiom 1 (assumption_2_37): organization(sk1) = true2.
% 0.19/0.38 Axiom 2 (assumption_2_38): has_immunity(sk1, sk2) = true2.
% 0.19/0.38 Axiom 3 (assumption_2_39): has_immunity(sk1, sk3) = true2.
% 0.19/0.38 Axiom 4 (assumption_17_32): fresh8(X, X, Y, Z) = very_low.
% 0.19/0.38 Axiom 5 (assumption_17_32): fresh7(X, X, Y, Z) = hazard_of_mortality(Y, Z).
% 0.19/0.38 Axiom 6 (assumption_17_32): fresh7(has_immunity(X, Y), true2, X, Y) = fresh8(organization(X), true2, X, Y).
% 0.19/0.38
% 0.19/0.38 Goal 1 (assumption_2_40): hazard_of_mortality(sk1, sk2) = hazard_of_mortality(sk1, sk3).
% 0.19/0.38 Proof:
% 0.19/0.38 hazard_of_mortality(sk1, sk2)
% 0.19/0.39 = { by axiom 5 (assumption_17_32) R->L }
% 0.19/0.39 fresh7(true2, true2, sk1, sk2)
% 0.19/0.39 = { by axiom 2 (assumption_2_38) R->L }
% 0.19/0.39 fresh7(has_immunity(sk1, sk2), true2, sk1, sk2)
% 0.19/0.39 = { by axiom 6 (assumption_17_32) }
% 0.19/0.39 fresh8(organization(sk1), true2, sk1, sk2)
% 0.19/0.39 = { by axiom 1 (assumption_2_37) }
% 0.19/0.39 fresh8(true2, true2, sk1, sk2)
% 0.19/0.39 = { by axiom 4 (assumption_17_32) }
% 0.19/0.39 very_low
% 0.19/0.39 = { by axiom 4 (assumption_17_32) R->L }
% 0.19/0.39 fresh8(true2, true2, sk1, sk3)
% 0.19/0.39 = { by axiom 1 (assumption_2_37) R->L }
% 0.19/0.39 fresh8(organization(sk1), true2, sk1, sk3)
% 0.19/0.39 = { by axiom 6 (assumption_17_32) R->L }
% 0.19/0.39 fresh7(has_immunity(sk1, sk3), true2, sk1, sk3)
% 0.19/0.39 = { by axiom 3 (assumption_2_39) }
% 0.19/0.39 fresh7(true2, true2, sk1, sk3)
% 0.19/0.39 = { by axiom 5 (assumption_17_32) }
% 0.19/0.39 hazard_of_mortality(sk1, sk3)
% 0.19/0.39 % SZS output end Proof
% 0.19/0.39
% 0.19/0.39 RESULT: Unsatisfiable (the axioms are contradictory).
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