%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN258-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n016.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 09:00:47 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   8 unt;   0 nHn;  14 RR)
%            Number of literals    :   23 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    7 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_24,axiom,
    l0(c) ).

cnf(axiom_28,axiom,
    k0(e) ).

cnf(axiom_34,axiom,
    n0(c,d) ).

cnf(rule_001,axiom,
    ( k1(I)
    | ~ n0(J,I) ) ).

cnf(rule_079,axiom,
    ( p1(A,A,A)
    | ~ k0(e)
    | ~ k1(A)
    | ~ l0(c) ) ).

cnf(prove_this,negated_conjecture,
    ~ p1(X,Y,d) ).

cnf(refute_0_0,plain,
    ( ~ n0(c,d)
    | k1(d) ),
    inference(subst,[],[rule_001:[bind(I,$fot(d)),bind(J,$fot(c))]]) ).

cnf(refute_0_1,plain,
    k1(d),
    inference(resolve,[$cnf( n0(c,d) )],[axiom_34,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ k1(A)
    | ~ l0(c)
    | p1(A,A,A) ),
    inference(resolve,[$cnf( k0(e) )],[axiom_28,rule_079]) ).

cnf(refute_0_3,plain,
    ( ~ k1(A)
    | p1(A,A,A) ),
    inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ k1(d)
    | p1(d,d,d) ),
    inference(subst,[],[refute_0_3:[bind(A,$fot(d))]]) ).

cnf(refute_0_5,plain,
    p1(d,d,d),
    inference(resolve,[$cnf( k1(d) )],[refute_0_1,refute_0_4]) ).

cnf(refute_0_6,plain,
    ~ p1(d,d,d),
    inference(subst,[],[prove_this:[bind(X,$fot(d)),bind(Y,$fot(d))]]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( p1(d,d,d) )],[refute_0_5,refute_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN258-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 17:39:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  
% 0.19/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.47  
%------------------------------------------------------------------------------