%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN079-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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  : 600s
% DateTime : Thu Jul 21 08:59:23 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   5 unt;   0 nHn;   9 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    big_f(f(a,b),f(b,c)) ).

cnf(clause_2,axiom,
    big_f(f(b,c),f(a,c)) ).

cnf(clause_3,axiom,
    ( ~ big_f(X,Y)
    | ~ big_f(Y,Z)
    | big_f(X,Z) ) ).

cnf(prove_this,negated_conjecture,
    ~ big_f(f(a,b),f(a,c)) ).

cnf(refute_0_0,plain,
    ( ~ big_f(f(a,b),f(b,c))
    | ~ big_f(f(b,c),X_2)
    | big_f(f(a,b),X_2) ),
    inference(subst,[],[clause_3:[bind(X,$fot(f(a,b))),bind(Y,$fot(f(b,c))),bind(Z,$fot(X_2))]]) ).

cnf(refute_0_1,plain,
    ( ~ big_f(f(b,c),X_2)
    | big_f(f(a,b),X_2) ),
    inference(resolve,[$cnf( big_f(f(a,b),f(b,c)) )],[clause_1,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ big_f(f(b,c),f(a,c))
    | big_f(f(a,b),f(a,c)) ),
    inference(subst,[],[refute_0_1:[bind(X_2,$fot(f(a,c)))]]) ).

cnf(refute_0_3,plain,
    big_f(f(a,b),f(a,c)),
    inference(resolve,[$cnf( big_f(f(b,c),f(a,c)) )],[clause_2,refute_0_2]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( big_f(f(a,b),f(a,c)) )],[refute_0_3,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN079-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 04:42:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------