%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN107-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n026.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 08:59:43 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   16 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
    s0(d) ).

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

cnf(rule_117,axiom,
    ( q1(d,d,d)
    | ~ k0(e)
    | ~ s0(d) ) ).

cnf(rule_129,axiom,
    ( k2(J,J)
    | ~ q1(A,J,J) ) ).

cnf(prove_this,negated_conjecture,
    ~ k2(X,d) ).

cnf(refute_0_0,plain,
    ( ~ s0(d)
    | q1(d,d,d) ),
    inference(resolve,[$cnf( k0(e) )],[axiom_28,rule_117]) ).

cnf(refute_0_1,plain,
    q1(d,d,d),
    inference(resolve,[$cnf( s0(d) )],[axiom_1,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ q1(d,d,d)
    | k2(d,d) ),
    inference(subst,[],[rule_129:[bind(A,$fot(d)),bind(J,$fot(d))]]) ).

cnf(refute_0_3,plain,
    k2(d,d),
    inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ~ k2(d,d),
    inference(subst,[],[prove_this:[bind(X,$fot(d))]]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( k2(d,d) )],[refute_0_3,refute_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN107-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n026.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 03:51:27 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  
%------------------------------------------------------------------------------