%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : ROB030-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 : Mon Jul 18 20:54:38 EDT 2022

% Result   : Unsatisfiable 0.18s 0.36s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (  10 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(absorbtion,hypothesis,
    add(c,d) = d ).

cnf(prove_absorption_within_negation,negated_conjecture,
    negate(add(A,B)) != negate(B) ).

cnf(refute_0_0,plain,
    negate(add(c,d)) != negate(d),
    inference(subst,[],[prove_absorption_within_negation:[bind(A,$fot(c)),bind(B,$fot(d))]]) ).

cnf(refute_0_1,plain,
    ( add(c,d) != d
    | negate(d) != negate(d)
    | negate(add(c,d)) = negate(d) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(negate(add(c,d)),negate(d)) ),[0,0],$fot(d)]]) ).

cnf(refute_0_2,plain,
    ( negate(d) != negate(d)
    | negate(add(c,d)) = negate(d) ),
    inference(resolve,[$cnf( $equal(add(c,d),d) )],[absorbtion,refute_0_1]) ).

cnf(refute_0_3,plain,
    negate(d) != negate(d),
    inference(resolve,[$cnf( $equal(negate(add(c,d)),negate(d)) )],[refute_0_2,refute_0_0]) ).

cnf(refute_0_4,plain,
    negate(d) = negate(d),
    introduced(tautology,[refl,[$fot(negate(d))]]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( $equal(negate(d),negate(d)) )],[refute_0_4,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ROB030-1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  9 13:27:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  
% 0.18/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.36  
%------------------------------------------------------------------------------