TSTP Solution File: SWW478+2 by Twee---2.5.0
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%------------------------------------------------------------------------------
% File : Twee---2.5.0
% Problem : SWW478+2 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 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 : Mon Jun 24 18:27:16 EDT 2024
% Result : Theorem 26.66s 3.75s
% Output : Proof 27.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWW478+2 : TPTP v8.2.0. Released v5.3.0.
% 0.06/0.10 % Command : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Wed Jun 19 08:51:53 EDT 2024
% 0.11/0.30 % CPUTime :
% 26.66/3.75 Command-line arguments: --random-mode --random-mode-goal-directed --no-flatten-goal --no-connectedness --no-ground-joining
% 26.66/3.75
% 26.66/3.75 % SZS status Theorem
% 26.66/3.75
% 27.35/3.77 % SZS output start Proof
% 27.35/3.77 Take the following subset of the input axioms:
% 27.35/3.78 fof(conj_0, conjecture, hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val, hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val, ea), hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val, ha), fun_up1149430426on_val(la, v_1, hAPP_val_option_val(some_val, v))))), hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val, e_a), hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val, h_a), l_a))), red(p)))).
% 27.35/3.78 fof(fact_1_InitBlockRed_I1_J, axiom, hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val, hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val, ea), hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val, ha), fun_up1149430426on_val(la, v_1, hAPP_val_option_val(some_val, v))))), hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val, e_a), hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val, h_a), l_a))), red(p)))).
% 27.35/3.78
% 27.35/3.78 Now clausify the problem and encode Horn clauses using encoding 3 of
% 27.35/3.78 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 27.35/3.78 We repeatedly replace C & s=t => u=v by the two clauses:
% 27.35/3.78 fresh(y, y, x1...xn) = u
% 27.35/3.78 C => fresh(s, t, x1...xn) = v
% 27.35/3.78 where fresh is a fresh function symbol and x1..xn are the free
% 27.35/3.78 variables of u and v.
% 27.35/3.78 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 27.35/3.78 input problem has no model of domain size 1).
% 27.35/3.78
% 27.35/3.78 The encoding turns the above axioms into the following unit equations and goals:
% 27.35/3.78
% 27.35/3.78 Axiom 1 (fact_1_InitBlockRed_I1_J): hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val, hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val, ea), hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val, ha), fun_up1149430426on_val(la, v_1, hAPP_val_option_val(some_val, v))))), hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val, e_a), hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val, h_a), l_a))), red(p))) = true2.
% 27.35/3.78
% 27.35/3.78 Goal 1 (conj_0): hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val, hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val, ea), hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val, ha), fun_up1149430426on_val(la, v_1, hAPP_val_option_val(some_val, v))))), hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val, e_a), hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val, h_a), l_a))), red(p))) = true2.
% 27.35/3.78 Proof:
% 27.35/3.78 hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val, hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val, ea), hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val, ha), fun_up1149430426on_val(la, v_1, hAPP_val_option_val(some_val, v))))), hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val, e_a), hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val, h_a), l_a))), red(p)))
% 27.35/3.78 = { by axiom 1 (fact_1_InitBlockRed_I1_J) }
% 27.35/3.78 true2
% 27.35/3.78 % SZS output end Proof
% 27.35/3.78
% 27.35/3.78 RESULT: Theorem (the conjecture is true).
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