TSTP Solution File: SWV874-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWV874-1 : 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 : n001.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 23:06:35 EDT 2023
% Result : Unsatisfiable 64.54s 8.63s
% Output : Proof 64.54s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV874-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % 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 : n001.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 : Tue Aug 29 06:17:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 64.54/8.63 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 64.54/8.63
% 64.54/8.63 % SZS status Unsatisfiable
% 64.54/8.63
% 64.54/8.63 % SZS output start Proof
% 64.54/8.63 Take the following subset of the input axioms:
% 64.54/8.63 fof(cls_conjecture_0, negated_conjecture, ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), v_x), v_x))).
% 64.54/8.63 fof(cls_evalc_OSkip_0, axiom, ![V_s]: hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), V_s), V_s))).
% 64.54/8.63
% 64.54/8.63 Now clausify the problem and encode Horn clauses using encoding 3 of
% 64.54/8.63 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 64.54/8.63 We repeatedly replace C & s=t => u=v by the two clauses:
% 64.54/8.63 fresh(y, y, x1...xn) = u
% 64.54/8.63 C => fresh(s, t, x1...xn) = v
% 64.54/8.63 where fresh is a fresh function symbol and x1..xn are the free
% 64.54/8.63 variables of u and v.
% 64.54/8.63 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 64.54/8.63 input problem has no model of domain size 1).
% 64.54/8.63
% 64.54/8.63 The encoding turns the above axioms into the following unit equations and goals:
% 64.54/8.63
% 64.54/8.63 Axiom 1 (cls_evalc_OSkip_0): hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), X), X)) = true2.
% 64.54/8.63
% 64.54/8.63 Goal 1 (cls_conjecture_0): hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), v_x), v_x)) = true2.
% 64.54/8.63 Proof:
% 64.54/8.63 hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), v_x), v_x))
% 64.54/8.63 = { by axiom 1 (cls_evalc_OSkip_0) }
% 64.54/8.63 true2
% 64.54/8.63 % SZS output end Proof
% 64.54/8.63
% 64.54/8.63 RESULT: Unsatisfiable (the axioms are contradictory).
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