%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN115-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.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 08:59:46 EDT 2022

% Result   : Unsatisfiable 0.45s 0.61s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   38 (  19 unt;   0 nHn;  31 RR)
%            Number of literals    :   67 (   0 equ;  32 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   30 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
    r0(b) ).

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

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

cnf(axiom_27,axiom,
    m0(e,b,c) ).

cnf(axiom_30,axiom,
    n0(e,e) ).

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

cnf(rule_003,axiom,
    ( l1(C,D)
    | ~ p0(E,C)
    | ~ r0(F)
    | ~ m0(D,C,E) ) ).

cnf(rule_006,axiom,
    ( m1(J,J,J)
    | ~ m0(A,A,J) ) ).

cnf(rule_150,axiom,
    ( p2(F,F,F)
    | ~ m1(G,G,F) ) ).

cnf(rule_186,axiom,
    ( q2(G,G,H)
    | ~ l1(H,G) ) ).

cnf(rule_240,axiom,
    ( n3(D)
    | ~ p2(E,F,D) ) ).

cnf(rule_255,axiom,
    ( q3(G,H)
    | ~ q2(I,G,H)
    | ~ n0(I,G) ) ).

cnf(rule_274,axiom,
    ( k4(c)
    | ~ n0(c,d)
    | ~ q3(e,b)
    | ~ n3(e) ) ).

cnf(prove_this,negated_conjecture,
    ~ k4(c) ).

cnf(refute_0_0,plain,
    ( ~ n3(e)
    | ~ q3(e,b)
    | k4(c) ),
    inference(resolve,[$cnf( n0(c,d) )],[axiom_34,rule_274]) ).

cnf(refute_0_1,plain,
    ( ~ n3(e)
    | ~ q3(e,b) ),
    inference(resolve,[$cnf( k4(c) )],[refute_0_0,prove_this]) ).

cnf(refute_0_2,plain,
    ( ~ n0(e,e)
    | ~ q2(e,e,b)
    | q3(e,b) ),
    inference(subst,[],[rule_255:[bind(G,$fot(e)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).

cnf(refute_0_3,plain,
    ( ~ l1(b,e)
    | q2(e,e,b) ),
    inference(subst,[],[rule_186:[bind(G,$fot(e)),bind(H,$fot(b))]]) ).

cnf(refute_0_4,plain,
    ( ~ m0(e,b,c)
    | ~ p0(c,b)
    | ~ r0(X_703)
    | l1(b,e) ),
    inference(subst,[],[rule_003:[bind(C,$fot(b)),bind(D,$fot(e)),bind(E,$fot(c)),bind(F,$fot(X_703))]]) ).

cnf(refute_0_5,plain,
    ( ~ p0(c,b)
    | ~ r0(X_703)
    | l1(b,e) ),
    inference(resolve,[$cnf( m0(e,b,c) )],[axiom_27,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ r0(X_703)
    | l1(b,e) ),
    inference(resolve,[$cnf( p0(c,b) )],[axiom_18,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ r0(b)
    | l1(b,e) ),
    inference(subst,[],[refute_0_6:[bind(X_703,$fot(b))]]) ).

cnf(refute_0_8,plain,
    l1(b,e),
    inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_7]) ).

cnf(refute_0_9,plain,
    q2(e,e,b),
    inference(resolve,[$cnf( l1(b,e) )],[refute_0_8,refute_0_3]) ).

cnf(refute_0_10,plain,
    ( ~ n0(e,e)
    | q3(e,b) ),
    inference(resolve,[$cnf( q2(e,e,b) )],[refute_0_9,refute_0_2]) ).

cnf(refute_0_11,plain,
    q3(e,b),
    inference(resolve,[$cnf( n0(e,e) )],[axiom_30,refute_0_10]) ).

cnf(refute_0_12,plain,
    ~ n3(e),
    inference(resolve,[$cnf( q3(e,b) )],[refute_0_11,refute_0_1]) ).

cnf(refute_0_13,plain,
    m0(d,d,X_93),
    inference(subst,[],[axiom_19:[bind(X,$fot(d)),bind(Y,$fot(X_93))]]) ).

cnf(refute_0_14,plain,
    ( ~ m0(d,d,X_93)
    | m1(X_93,X_93,X_93) ),
    inference(subst,[],[rule_006:[bind(A,$fot(d)),bind(J,$fot(X_93))]]) ).

cnf(refute_0_15,plain,
    m1(X_93,X_93,X_93),
    inference(resolve,[$cnf( m0(d,d,X_93) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    m1(X_112,X_112,X_112),
    inference(subst,[],[refute_0_15:[bind(X_93,$fot(X_112))]]) ).

cnf(refute_0_17,plain,
    ( ~ m1(X_112,X_112,X_112)
    | p2(X_112,X_112,X_112) ),
    inference(subst,[],[rule_150:[bind(F,$fot(X_112)),bind(G,$fot(X_112))]]) ).

cnf(refute_0_18,plain,
    p2(X_112,X_112,X_112),
    inference(resolve,[$cnf( m1(X_112,X_112,X_112) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    p2(X_121,X_121,X_121),
    inference(subst,[],[refute_0_18:[bind(X_112,$fot(X_121))]]) ).

cnf(refute_0_20,plain,
    ( ~ p2(X_121,X_121,X_121)
    | n3(X_121) ),
    inference(subst,[],[rule_240:[bind(D,$fot(X_121)),bind(E,$fot(X_121)),bind(F,$fot(X_121))]]) ).

cnf(refute_0_21,plain,
    n3(X_121),
    inference(resolve,[$cnf( p2(X_121,X_121,X_121) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    n3(e),
    inference(subst,[],[refute_0_21:[bind(X_121,$fot(e))]]) ).

cnf(refute_0_23,plain,
    $false,
    inference(resolve,[$cnf( n3(e) )],[refute_0_22,refute_0_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN115-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n018.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 16:22:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.45/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.61  
% 0.45/0.61  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.45/0.62  
%------------------------------------------------------------------------------