%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN173-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 09:00:12 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   17 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X) ).

cnf(axiom_37,axiom,
    n0(b,a) ).

cnf(rule_092,axiom,
    ( q1(J,A,J)
    | ~ n0(B,A)
    | ~ p0(C,J) ) ).

cnf(prove_this,negated_conjecture,
    ~ q1(e,a,e) ).

cnf(refute_0_0,plain,
    p0(b,X_418),
    inference(subst,[],[axiom_14:[bind(X,$fot(X_418))]]) ).

cnf(refute_0_1,plain,
    ( ~ n0(X_416,X_415)
    | ~ p0(b,X_418)
    | q1(X_418,X_415,X_418) ),
    inference(subst,[],[rule_092:[bind(A,$fot(X_415)),bind(B,$fot(X_416)),bind(C,$fot(b)),bind(J,$fot(X_418))]]) ).

cnf(refute_0_2,plain,
    ( ~ n0(X_416,X_415)
    | q1(X_418,X_415,X_418) ),
    inference(resolve,[$cnf( p0(b,X_418) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ n0(b,a)
    | q1(X_423,a,X_423) ),
    inference(subst,[],[refute_0_2:[bind(X_415,$fot(a)),bind(X_416,$fot(b)),bind(X_418,$fot(X_423))]]) ).

cnf(refute_0_4,plain,
    q1(X_423,a,X_423),
    inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_3]) ).

cnf(refute_0_5,plain,
    q1(e,a,e),
    inference(subst,[],[refute_0_4:[bind(X_423,$fot(e))]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( q1(e,a,e) )],[refute_0_5,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN173-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 01:23:23 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  
% 0.19/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.50  
%------------------------------------------------------------------------------