%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN229-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.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 09:00:35 EDT 2022

% Result   : Unsatisfiable 0.18s 0.46s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  10 unt;   0 nHn;  20 RR)
%            Number of literals    :   31 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   10 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_15,axiom,
    n0(a,b) ).

cnf(axiom_18,axiom,
    p0(c,b) ).

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

cnf(rule_069,axiom,
    ( p1(B,B,C)
    | ~ p0(C,B) ) ).

cnf(rule_136,axiom,
    ( m2(b)
    | ~ k1(b) ) ).

cnf(rule_137,axiom,
    ( n2(A)
    | ~ p1(B,C,A) ) ).

cnf(rule_217,axiom,
    ( l3(C,C)
    | ~ n2(C)
    | ~ m2(b) ) ).

cnf(prove_this,negated_conjecture,
    ~ l3(c,X) ).

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

cnf(refute_0_1,plain,
    k1(b),
    inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_0]) ).

cnf(refute_0_2,plain,
    m2(b),
    inference(resolve,[$cnf( k1(b) )],[refute_0_1,rule_136]) ).

cnf(refute_0_3,plain,
    ( ~ n2(C)
    | l3(C,C) ),
    inference(resolve,[$cnf( m2(b) )],[refute_0_2,rule_217]) ).

cnf(refute_0_4,plain,
    ( ~ n2(c)
    | l3(c,c) ),
    inference(subst,[],[refute_0_3:[bind(C,$fot(c))]]) ).

cnf(refute_0_5,plain,
    ( ~ p0(c,b)
    | p1(b,b,c) ),
    inference(subst,[],[rule_069:[bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_6,plain,
    p1(b,b,c),
    inference(resolve,[$cnf( p0(c,b) )],[axiom_18,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ p1(b,b,c)
    | n2(c) ),
    inference(subst,[],[rule_137:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b))]]) ).

cnf(refute_0_8,plain,
    n2(c),
    inference(resolve,[$cnf( p1(b,b,c) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    l3(c,c),
    inference(resolve,[$cnf( n2(c) )],[refute_0_8,refute_0_4]) ).

cnf(refute_0_10,plain,
    ~ l3(c,c),
    inference(subst,[],[prove_this:[bind(X,$fot(c))]]) ).

cnf(refute_0_11,plain,
    $false,
    inference(resolve,[$cnf( l3(c,c) )],[refute_0_9,refute_0_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN229-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 05:36:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  
% 0.18/0.46  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.46  
%------------------------------------------------------------------------------