%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN186-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n012.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 09:00:17 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  11 unt;   0 nHn;  10 RR)
%            Number of literals    :   27 (   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    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   19 (  11 sgn)

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

cnf(axiom_17,axiom,
    q0(X,d) ).

cnf(axiom_19,axiom,
    m0(X,d,Y) ).

cnf(rule_110,axiom,
    ( q1(B,B,B)
    | ~ m0(C,D,B) ) ).

cnf(rule_124,axiom,
    ( r1(D)
    | ~ q0(D,E)
    | ~ s0(d)
    | ~ q1(d,E,d) ) ).

cnf(prove_this,negated_conjecture,
    ~ r1(a) ).

cnf(refute_0_0,plain,
    q0(X_190,d),
    inference(subst,[],[axiom_17:[bind(X,$fot(X_190))]]) ).

cnf(refute_0_1,plain,
    ( ~ q0(D,E)
    | ~ q1(d,E,d)
    | r1(D) ),
    inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_124]) ).

cnf(refute_0_2,plain,
    ( ~ q0(X_190,d)
    | ~ q1(d,d,d)
    | r1(X_190) ),
    inference(subst,[],[refute_0_1:[bind(D,$fot(X_190)),bind(E,$fot(d))]]) ).

cnf(refute_0_3,plain,
    ( ~ q1(d,d,d)
    | r1(X_190) ),
    inference(resolve,[$cnf( q0(X_190,d) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    m0(X_161,d,X_160),
    inference(subst,[],[axiom_19:[bind(X,$fot(X_161)),bind(Y,$fot(X_160))]]) ).

cnf(refute_0_5,plain,
    ( ~ m0(X_161,d,X_160)
    | q1(X_160,X_160,X_160) ),
    inference(subst,[],[rule_110:[bind(B,$fot(X_160)),bind(C,$fot(X_161)),bind(D,$fot(d))]]) ).

cnf(refute_0_6,plain,
    q1(X_160,X_160,X_160),
    inference(resolve,[$cnf( m0(X_161,d,X_160) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    q1(d,d,d),
    inference(subst,[],[refute_0_6:[bind(X_160,$fot(d))]]) ).

cnf(refute_0_8,plain,
    r1(X_190),
    inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_7,refute_0_3]) ).

cnf(refute_0_9,plain,
    r1(a),
    inference(subst,[],[refute_0_8:[bind(X_190,$fot(a))]]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( r1(a) )],[refute_0_9,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN186-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 02:35:42 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  
% 0.20/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.49  
%------------------------------------------------------------------------------