TSTP Solution File: SWV873-1 by Twee---2.4.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : SWV873-1 : 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 : n015.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 64.77s 8.71s
% Output   : Proof 64.77s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV873-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 03:54:25 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 64.77/8.71  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 64.77/8.71  
% 64.77/8.71  % SZS status Unsatisfiable
% 64.77/8.71  
% 64.77/8.71  % SZS output start Proof
% 64.77/8.71  Take the following subset of the input axioms:
% 64.77/8.71    fof(cls_conjecture_0, negated_conjecture, ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), v_x), v_x))).
% 64.77/8.71    fof(cls_evalc_OSkip_0, axiom, ![V_s]: hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), V_s), V_s))).
% 64.77/8.71  
% 64.77/8.71  Now clausify the problem and encode Horn clauses using encoding 3 of
% 64.77/8.71  http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 64.77/8.71  We repeatedly replace C & s=t => u=v by the two clauses:
% 64.77/8.71    fresh(y, y, x1...xn) = u
% 64.77/8.71    C => fresh(s, t, x1...xn) = v
% 64.77/8.71  where fresh is a fresh function symbol and x1..xn are the free
% 64.77/8.71  variables of u and v.
% 64.77/8.71  A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 64.77/8.71  input problem has no model of domain size 1).
% 64.77/8.71  
% 64.77/8.71  The encoding turns the above axioms into the following unit equations and goals:
% 64.77/8.71  
% 64.77/8.71  Axiom 1 (cls_evalc_OSkip_0): hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), X), X)) = true2.
% 64.77/8.71  
% 64.77/8.71  Goal 1 (cls_conjecture_0): hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), v_x), v_x)) = true2.
% 64.77/8.71  Proof:
% 64.77/8.71    hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), v_x), v_x))
% 64.77/8.71  = { by axiom 1 (cls_evalc_OSkip_0) }
% 64.77/8.71    true2
% 64.77/8.71  % SZS output end Proof
% 64.77/8.71  
% 64.77/8.71  RESULT: Unsatisfiable (the axioms are contradictory).
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