%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : SYN164-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n023.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 : Fri Sep  1 03:33:26 EDT 2023

% Result   : Unsatisfiable 13.16s 2.06s
% Output   : Proof 13.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SYN164-1 : TPTP v8.1.2. Released v1.1.0.
% 0.09/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35  % Computer : n023.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 : Sat Aug 26 21:34:56 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 13.16/2.06  Command-line arguments: --no-flatten-goal
% 13.16/2.06  
% 13.16/2.06  % SZS status Unsatisfiable
% 13.16/2.06  
% 13.16/2.06  % SZS output start Proof
% 13.16/2.06  Take the following subset of the input axioms:
% 13.16/2.06    fof(axiom_14, axiom, ![X]: p0(b, X)).
% 13.16/2.06    fof(prove_this, negated_conjecture, ~p0(b, c)).
% 13.16/2.06  
% 13.16/2.06  Now clausify the problem and encode Horn clauses using encoding 3 of
% 13.16/2.06  http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 13.16/2.06  We repeatedly replace C & s=t => u=v by the two clauses:
% 13.16/2.06    fresh(y, y, x1...xn) = u
% 13.16/2.06    C => fresh(s, t, x1...xn) = v
% 13.16/2.06  where fresh is a fresh function symbol and x1..xn are the free
% 13.16/2.06  variables of u and v.
% 13.16/2.06  A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 13.16/2.06  input problem has no model of domain size 1).
% 13.16/2.06  
% 13.16/2.06  The encoding turns the above axioms into the following unit equations and goals:
% 13.16/2.06  
% 13.16/2.06  Axiom 1 (axiom_14): p0(b, X) = true.
% 13.16/2.06  
% 13.16/2.06  Goal 1 (prove_this): p0(b, c) = true.
% 13.16/2.06  Proof:
% 13.16/2.06    p0(b, c)
% 13.16/2.06  = { by axiom 1 (axiom_14) }
% 13.16/2.06    true
% 13.16/2.06  % SZS output end Proof
% 13.16/2.06  
% 13.16/2.06  RESULT: Unsatisfiable (the axioms are contradictory).
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