TSTP Solution File: SCT027-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SCT027-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n032.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 14:21:56 EDT 2023
% Result : Unsatisfiable 35.27s 4.97s
% Output : Proof 35.27s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SCT027-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.09 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu Aug 24 16:49:11 EDT 2023
% 0.11/0.28 % CPUTime :
% 35.27/4.97 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 35.27/4.97
% 35.27/4.97 % SZS status Unsatisfiable
% 35.27/4.97
% 35.27/4.97 % SZS output start Proof
% 35.27/4.97 Take the following subset of the input axioms:
% 35.27/4.97 fof(cls_conjecture_0, negated_conjecture, ~v_thesis____).
% 35.27/4.97 fof(cls_conjecture_1, negated_conjecture, ![V_x]: (v_thesis____ | ~hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), V_x), c_Arrow__Order__Mirabelle_OLin)))).
% 35.27/4.97 fof(cls_linear__alt_0, axiom, hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1), c_Arrow__Order__Mirabelle_OLin))).
% 35.27/4.97
% 35.27/4.97 Now clausify the problem and encode Horn clauses using encoding 3 of
% 35.27/4.97 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 35.27/4.97 We repeatedly replace C & s=t => u=v by the two clauses:
% 35.27/4.97 fresh(y, y, x1...xn) = u
% 35.27/4.97 C => fresh(s, t, x1...xn) = v
% 35.27/4.97 where fresh is a fresh function symbol and x1..xn are the free
% 35.27/4.97 variables of u and v.
% 35.27/4.97 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 35.27/4.97 input problem has no model of domain size 1).
% 35.27/4.97
% 35.27/4.97 The encoding turns the above axioms into the following unit equations and goals:
% 35.27/4.97
% 35.27/4.97 Axiom 1 (cls_conjecture_1): fresh369(X, X) = true2.
% 35.27/4.97 Axiom 2 (cls_linear__alt_0): hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1), c_Arrow__Order__Mirabelle_OLin)) = true2.
% 35.27/4.97 Axiom 3 (cls_conjecture_1): fresh369(hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), X), c_Arrow__Order__Mirabelle_OLin)), true2) = v_thesis____.
% 35.27/4.97
% 35.27/4.97 Goal 1 (cls_conjecture_0): v_thesis____ = true2.
% 35.27/4.97 Proof:
% 35.27/4.97 v_thesis____
% 35.27/4.97 = { by axiom 3 (cls_conjecture_1) R->L }
% 35.27/4.97 fresh369(hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1), c_Arrow__Order__Mirabelle_OLin)), true2)
% 35.27/4.97 = { by axiom 2 (cls_linear__alt_0) }
% 35.27/4.97 fresh369(true2, true2)
% 35.27/4.97 = { by axiom 1 (cls_conjecture_1) }
% 35.27/4.97 true2
% 35.27/4.97 % SZS output end Proof
% 35.27/4.97
% 35.27/4.97 RESULT: Unsatisfiable (the axioms are contradictory).
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