TSTP Solution File: SYN589-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN589-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : Fri Sep 1 03:35:21 EDT 2023
% Result : Unsatisfiable 0.19s 0.45s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN589-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % 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 : n004.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 : Sat Aug 26 17:20:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.45 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.19/0.45
% 0.19/0.45 % SZS status Unsatisfiable
% 0.19/0.45
% 0.19/0.46 % SZS output start Proof
% 0.19/0.46 Take the following subset of the input axioms:
% 0.19/0.46 fof(not_p7_26, negated_conjecture, ~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))).
% 0.19/0.46 fof(p7_14, negated_conjecture, ![X25, X26, X27]: (p7(X26, X27) | (~p7(X25, X26) | ~p7(X25, X27)))).
% 0.19/0.46 fof(p7_2, negated_conjecture, ![X25_2]: p7(X25_2, X25_2)).
% 0.19/0.46 fof(p7_24, negated_conjecture, p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))).
% 0.19/0.46 fof(p7_25, negated_conjecture, p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))).
% 0.19/0.46
% 0.19/0.46 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.19/0.46 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.19/0.46 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.19/0.46 fresh(y, y, x1...xn) = u
% 0.19/0.46 C => fresh(s, t, x1...xn) = v
% 0.19/0.46 where fresh is a fresh function symbol and x1..xn are the free
% 0.19/0.46 variables of u and v.
% 0.19/0.46 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.19/0.46 input problem has no model of domain size 1).
% 0.19/0.46
% 0.19/0.46 The encoding turns the above axioms into the following unit equations and goals:
% 0.19/0.46
% 0.19/0.46 Axiom 1 (p7_2): p7(X, X) = true.
% 0.19/0.46 Axiom 2 (p7_14): fresh8(X, X, Y, Z) = true.
% 0.19/0.46 Axiom 3 (p7_14): fresh9(X, X, Y, Z, W) = p7(Y, Z).
% 0.19/0.46 Axiom 4 (p7_14): fresh9(p7(X, Y), true, Z, Y, X) = fresh8(p7(X, Z), true, Z, Y).
% 0.19/0.46 Axiom 5 (p7_25): p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) = true.
% 0.19/0.47 Axiom 6 (p7_24): p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))) = true.
% 0.19/0.47
% 0.19/0.47 Goal 1 (not_p7_26): p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))) = true.
% 0.19/0.47 Proof:
% 0.19/0.47 p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))
% 0.19/0.47 = { by axiom 3 (p7_14) R->L }
% 0.19/0.47 fresh9(true, true, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))
% 0.19/0.47 = { by axiom 1 (p7_2) R->L }
% 0.19/0.47 fresh9(p7(f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))
% 0.19/0.47 = { by axiom 4 (p7_14) }
% 0.19/0.47 fresh8(p7(f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))
% 0.19/0.47 = { by axiom 3 (p7_14) R->L }
% 0.19/0.47 fresh8(fresh9(true, true, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), c20), true, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))
% 0.19/0.47 = { by axiom 5 (p7_25) R->L }
% 0.19/0.47 fresh8(fresh9(p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), c20), true, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))
% 0.19/0.47 = { by axiom 4 (p7_14) }
% 0.19/0.47 fresh8(fresh8(p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))
% 0.19/0.47 = { by axiom 6 (p7_24) }
% 0.19/0.47 fresh8(fresh8(true, true, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))
% 0.19/0.47 = { by axiom 2 (p7_14) }
% 0.19/0.47 fresh8(true, true, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))
% 0.19/0.47 = { by axiom 2 (p7_14) }
% 0.19/0.47 true
% 0.19/0.47 % SZS output end Proof
% 0.19/0.47
% 0.19/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
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