%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 08:59:15 EDT 2022

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   41 (  12 unt;  10 nHn;  41 RR)
%            Number of literals    :  100 (   0 equ;  54 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    ( ~ big_f(X)
    | big_g(f(X))
    | ~ big_g(Y)
    | ~ big_h(X,Y)
    | big_k(Y) ) ).

cnf(clause_2,axiom,
    ( ~ big_f(X)
    | big_h(X,f(X))
    | ~ big_g(Y)
    | ~ big_h(X,Y)
    | big_k(Y) ) ).

cnf(clause_3,axiom,
    ( ~ big_f(X)
    | ~ big_j(X,f(X))
    | ~ big_g(Y)
    | ~ big_h(X,Y)
    | big_k(Y) ) ).

cnf(clause_4,axiom,
    ( ~ big_l(X)
    | ~ big_k(X) ) ).

cnf(clause_5,axiom,
    big_f(a) ).

cnf(clause_6,axiom,
    ( ~ big_h(a,X)
    | big_l(X) ) ).

cnf(clause_7,axiom,
    ( ~ big_g(X)
    | ~ big_h(a,X)
    | big_j(a,X) ) ).

cnf(clause_8,negated_conjecture,
    ( ~ big_f(X)
    | big_g(g(X)) ) ).

cnf(clause_9,negated_conjecture,
    ( ~ big_f(X)
    | big_h(X,g(X)) ) ).

cnf(refute_0_0,plain,
    ( ~ big_f(a)
    | big_h(a,g(a)) ),
    inference(subst,[],[clause_9:[bind(X,$fot(a))]]) ).

cnf(refute_0_1,plain,
    big_h(a,g(a)),
    inference(resolve,[$cnf( big_f(a) )],[clause_5,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ big_f(a)
    | ~ big_g(g(a))
    | ~ big_h(a,g(a))
    | big_h(a,f(a))
    | big_k(g(a)) ),
    inference(subst,[],[clause_2:[bind(X,$fot(a)),bind(Y,$fot(g(a)))]]) ).

cnf(refute_0_3,plain,
    ( ~ big_f(a)
    | ~ big_g(g(a))
    | big_h(a,f(a))
    | big_k(g(a)) ),
    inference(resolve,[$cnf( big_h(a,g(a)) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ big_g(g(a))
    | big_h(a,f(a))
    | big_k(g(a)) ),
    inference(resolve,[$cnf( big_f(a) )],[clause_5,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ big_f(a)
    | big_g(g(a)) ),
    inference(subst,[],[clause_8:[bind(X,$fot(a))]]) ).

cnf(refute_0_6,plain,
    big_g(g(a)),
    inference(resolve,[$cnf( big_f(a) )],[clause_5,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( big_h(a,f(a))
    | big_k(g(a)) ),
    inference(resolve,[$cnf( big_g(g(a)) )],[refute_0_6,refute_0_4]) ).

cnf(refute_0_8,plain,
    ( ~ big_k(g(a))
    | ~ big_l(g(a)) ),
    inference(subst,[],[clause_4:[bind(X,$fot(g(a)))]]) ).

cnf(refute_0_9,plain,
    ( ~ big_h(a,g(a))
    | big_l(g(a)) ),
    inference(subst,[],[clause_6:[bind(X,$fot(g(a)))]]) ).

cnf(refute_0_10,plain,
    big_l(g(a)),
    inference(resolve,[$cnf( big_h(a,g(a)) )],[refute_0_1,refute_0_9]) ).

cnf(refute_0_11,plain,
    ~ big_k(g(a)),
    inference(resolve,[$cnf( big_l(g(a)) )],[refute_0_10,refute_0_8]) ).

cnf(refute_0_12,plain,
    big_h(a,f(a)),
    inference(resolve,[$cnf( big_k(g(a)) )],[refute_0_7,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ big_g(f(a))
    | ~ big_h(a,f(a))
    | big_j(a,f(a)) ),
    inference(subst,[],[clause_7:[bind(X,$fot(f(a)))]]) ).

cnf(refute_0_14,plain,
    ( ~ big_g(f(a))
    | big_j(a,f(a)) ),
    inference(resolve,[$cnf( big_h(a,f(a)) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ big_f(a)
    | ~ big_g(g(a))
    | ~ big_h(a,g(a))
    | big_g(f(a))
    | big_k(g(a)) ),
    inference(subst,[],[clause_1:[bind(X,$fot(a)),bind(Y,$fot(g(a)))]]) ).

cnf(refute_0_16,plain,
    ( ~ big_f(a)
    | ~ big_g(g(a))
    | big_g(f(a))
    | big_k(g(a)) ),
    inference(resolve,[$cnf( big_h(a,g(a)) )],[refute_0_1,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ big_g(g(a))
    | big_g(f(a))
    | big_k(g(a)) ),
    inference(resolve,[$cnf( big_f(a) )],[clause_5,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( big_g(f(a))
    | big_k(g(a)) ),
    inference(resolve,[$cnf( big_g(g(a)) )],[refute_0_6,refute_0_17]) ).

cnf(refute_0_19,plain,
    big_g(f(a)),
    inference(resolve,[$cnf( big_k(g(a)) )],[refute_0_18,refute_0_11]) ).

cnf(refute_0_20,plain,
    big_j(a,f(a)),
    inference(resolve,[$cnf( big_g(f(a)) )],[refute_0_19,refute_0_14]) ).

cnf(refute_0_21,plain,
    ( ~ big_f(a)
    | ~ big_g(X_10)
    | ~ big_h(a,X_10)
    | ~ big_j(a,f(a))
    | big_k(X_10) ),
    inference(subst,[],[clause_3:[bind(X,$fot(a)),bind(Y,$fot(X_10))]]) ).

cnf(refute_0_22,plain,
    ( ~ big_f(a)
    | ~ big_g(X_10)
    | ~ big_h(a,X_10)
    | big_k(X_10) ),
    inference(resolve,[$cnf( big_j(a,f(a)) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ~ big_g(X_10)
    | ~ big_h(a,X_10)
    | big_k(X_10) ),
    inference(resolve,[$cnf( big_f(a) )],[clause_5,refute_0_22]) ).

cnf(refute_0_24,plain,
    ( ~ big_g(f(a))
    | ~ big_h(a,f(a))
    | big_k(f(a)) ),
    inference(subst,[],[refute_0_23:[bind(X_10,$fot(f(a)))]]) ).

cnf(refute_0_25,plain,
    ( ~ big_g(f(a))
    | big_k(f(a)) ),
    inference(resolve,[$cnf( big_h(a,f(a)) )],[refute_0_12,refute_0_24]) ).

cnf(refute_0_26,plain,
    big_k(f(a)),
    inference(resolve,[$cnf( big_g(f(a)) )],[refute_0_19,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( ~ big_k(f(a))
    | ~ big_l(f(a)) ),
    inference(subst,[],[clause_4:[bind(X,$fot(f(a)))]]) ).

cnf(refute_0_28,plain,
    ( ~ big_h(a,f(a))
    | big_l(f(a)) ),
    inference(subst,[],[clause_6:[bind(X,$fot(f(a)))]]) ).

cnf(refute_0_29,plain,
    big_l(f(a)),
    inference(resolve,[$cnf( big_h(a,f(a)) )],[refute_0_12,refute_0_28]) ).

cnf(refute_0_30,plain,
    ~ big_k(f(a)),
    inference(resolve,[$cnf( big_l(f(a)) )],[refute_0_29,refute_0_27]) ).

cnf(refute_0_31,plain,
    $false,
    inference(resolve,[$cnf( big_k(f(a)) )],[refute_0_26,refute_0_30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 20:31:39 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  
% 0.14/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.35  
%------------------------------------------------------------------------------