TSTP Solution File: SWV888-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWV888-1 : 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 : n011.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 23:06:38 EDT 2023
% Result : Unsatisfiable 0.20s 0.46s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV888-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 05:21:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.46 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 0.20/0.46
% 0.20/0.46 % SZS status Unsatisfiable
% 0.20/0.46
% 0.20/0.46 % SZS output start Proof
% 0.20/0.46 Take the following subset of the input axioms:
% 0.20/0.46 fof(cls_conjecture_0, negated_conjecture, c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn), tc_Com_Ocom), v_x, v_xa)).
% 0.20/0.46 fof(cls_conjecture_1, negated_conjecture, ~c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn), v_x, v_xa)).
% 0.20/0.46 fof(cls_evalc_OBody_0, axiom, ![V_s1, V_s0, V_pn]: (c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn), V_s0, V_s1) | ~c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn), tc_Com_Ocom), V_s0, V_s1))).
% 0.20/0.46
% 0.20/0.46 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.20/0.46 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.20/0.46 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.20/0.46 fresh(y, y, x1...xn) = u
% 0.20/0.46 C => fresh(s, t, x1...xn) = v
% 0.20/0.46 where fresh is a fresh function symbol and x1..xn are the free
% 0.20/0.46 variables of u and v.
% 0.20/0.46 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.20/0.46 input problem has no model of domain size 1).
% 0.20/0.46
% 0.20/0.46 The encoding turns the above axioms into the following unit equations and goals:
% 0.20/0.46
% 0.20/0.46 Axiom 1 (cls_conjecture_0): c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn), tc_Com_Ocom), v_x, v_xa) = true2.
% 0.20/0.46 Axiom 2 (cls_evalc_OBody_0): fresh26(X, X, Y, Z, W) = true2.
% 0.20/0.46 Axiom 3 (cls_evalc_OBody_0): fresh26(c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X), tc_Com_Ocom), Y, Z), true2, X, Y, Z) = c_Natural_Oevalc(c_Com_Ocom_OBODY(X), Y, Z).
% 0.20/0.46
% 0.20/0.46 Goal 1 (cls_conjecture_1): c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn), v_x, v_xa) = true2.
% 0.20/0.46 Proof:
% 0.20/0.46 c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn), v_x, v_xa)
% 0.20/0.46 = { by axiom 3 (cls_evalc_OBody_0) R->L }
% 0.20/0.46 fresh26(c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn), tc_Com_Ocom), v_x, v_xa), true2, v_pn, v_x, v_xa)
% 0.20/0.46 = { by axiom 1 (cls_conjecture_0) }
% 0.20/0.46 fresh26(true2, true2, v_pn, v_x, v_xa)
% 0.20/0.46 = { by axiom 2 (cls_evalc_OBody_0) }
% 0.20/0.46 true2
% 0.20/0.46 % SZS output end Proof
% 0.20/0.46
% 0.20/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
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