%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 08:58:15 EDT 2022

% Result   : Unsatisfiable 0.18s 0.35s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   35 (   5 unt;  15 nHn;  17 RR)
%            Number of literals    :   65 (   0 equ;  20 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :   11 (   4 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   34 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(positive,negated_conjecture,
    ( p(X)
    | p(f(f(f(f(f(f(f(X)))))))) ) ).

cnf(negative,negated_conjecture,
    ( ~ p(X)
    | ~ p(f(f(f(f(f(f(f(f(X))))))))) ) ).

cnf(refute_0_0,plain,
    ( ~ p(f(X_4))
    | ~ p(f(f(f(f(f(f(f(f(f(X_4)))))))))) ),
    inference(subst,[],[negative:[bind(X,$fot(f(X_4)))]]) ).

cnf(refute_0_1,plain,
    ( p(f(X_1))
    | p(f(f(f(f(f(f(f(f(X_1))))))))) ),
    inference(subst,[],[positive:[bind(X,$fot(f(X_1)))]]) ).

cnf(refute_0_2,plain,
    ( ~ p(X_1)
    | ~ p(f(f(f(f(f(f(f(f(X_1))))))))) ),
    inference(subst,[],[negative:[bind(X,$fot(X_1))]]) ).

cnf(refute_0_3,plain,
    ( ~ p(X_1)
    | p(f(X_1)) ),
    inference(resolve,[$cnf( p(f(f(f(f(f(f(f(f(X_1))))))))) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ p(f(f(f(f(f(f(f(f(X_3)))))))))
    | p(f(f(f(f(f(f(f(f(f(X_3)))))))))) ),
    inference(subst,[],[refute_0_3:[bind(X_1,$fot(f(f(f(f(f(f(f(f(X_3))))))))))]]) ).

cnf(refute_0_5,plain,
    ( ~ p(f(f(f(f(f(f(f(X))))))))
    | p(f(f(f(f(f(f(f(f(X))))))))) ),
    inference(subst,[],[refute_0_3:[bind(X_1,$fot(f(f(f(f(f(f(f(X)))))))))]]) ).

cnf(refute_0_6,plain,
    ( p(X)
    | p(f(f(f(f(f(f(f(f(X))))))))) ),
    inference(resolve,[$cnf( p(f(f(f(f(f(f(f(X)))))))) )],[positive,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( p(X_3)
    | p(f(f(f(f(f(f(f(f(X_3))))))))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X_3))]]) ).

cnf(refute_0_8,plain,
    ( p(X_3)
    | p(f(f(f(f(f(f(f(f(f(X_3)))))))))) ),
    inference(resolve,[$cnf( p(f(f(f(f(f(f(f(f(X_3))))))))) )],[refute_0_7,refute_0_4]) ).

cnf(refute_0_9,plain,
    ( p(X_4)
    | p(f(f(f(f(f(f(f(f(f(X_4)))))))))) ),
    inference(subst,[],[refute_0_8:[bind(X_3,$fot(X_4))]]) ).

cnf(refute_0_10,plain,
    ( ~ p(f(X_4))
    | p(X_4) ),
    inference(resolve,[$cnf( p(f(f(f(f(f(f(f(f(f(X_4)))))))))) )],[refute_0_9,refute_0_0]) ).

cnf(refute_0_11,plain,
    ( ~ p(f(X_13))
    | p(X_13) ),
    inference(subst,[],[refute_0_10:[bind(X_4,$fot(X_13))]]) ).

cnf(refute_0_12,plain,
    ( ~ p(f(f(X_9)))
    | ~ p(f(f(f(f(f(f(f(f(f(f(X_9))))))))))) ),
    inference(subst,[],[negative:[bind(X,$fot(f(f(X_9))))]]) ).

cnf(refute_0_13,plain,
    ( ~ p(f(f(f(f(f(f(f(f(f(X_4))))))))))
    | p(f(f(f(f(f(f(f(f(f(f(X_4))))))))))) ),
    inference(subst,[],[refute_0_3:[bind(X_1,$fot(f(f(f(f(f(f(f(f(f(X_4)))))))))))]]) ).

cnf(refute_0_14,plain,
    ( p(X_4)
    | p(f(f(f(f(f(f(f(f(f(f(X_4))))))))))) ),
    inference(resolve,[$cnf( p(f(f(f(f(f(f(f(f(f(X_4)))))))))) )],[refute_0_9,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( p(X_9)
    | p(f(f(f(f(f(f(f(f(f(f(X_9))))))))))) ),
    inference(subst,[],[refute_0_14:[bind(X_4,$fot(X_9))]]) ).

cnf(refute_0_16,plain,
    ( ~ p(f(f(X_9)))
    | p(X_9) ),
    inference(resolve,[$cnf( p(f(f(f(f(f(f(f(f(f(f(X_9))))))))))) )],[refute_0_15,refute_0_12]) ).

cnf(refute_0_17,plain,
    ( ~ p(f(f(f(X_11))))
    | p(f(X_11)) ),
    inference(subst,[],[refute_0_16:[bind(X_9,$fot(f(X_11)))]]) ).

cnf(refute_0_18,plain,
    ( ~ p(f(f(f(f(f(f(X_6)))))))
    | p(f(f(f(f(f(X_6)))))) ),
    inference(subst,[],[refute_0_10:[bind(X_4,$fot(f(f(f(f(f(X_6)))))))]]) ).

cnf(refute_0_19,plain,
    ( ~ p(f(f(f(f(f(f(f(X))))))))
    | p(f(f(f(f(f(f(X))))))) ),
    inference(subst,[],[refute_0_10:[bind(X_4,$fot(f(f(f(f(f(f(X))))))))]]) ).

cnf(refute_0_20,plain,
    ( p(X)
    | p(f(f(f(f(f(f(X))))))) ),
    inference(resolve,[$cnf( p(f(f(f(f(f(f(f(X)))))))) )],[positive,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( p(X_6)
    | p(f(f(f(f(f(f(X_6))))))) ),
    inference(subst,[],[refute_0_20:[bind(X,$fot(X_6))]]) ).

cnf(refute_0_22,plain,
    ( p(X_6)
    | p(f(f(f(f(f(X_6)))))) ),
    inference(resolve,[$cnf( p(f(f(f(f(f(f(X_6))))))) )],[refute_0_21,refute_0_18]) ).

cnf(refute_0_23,plain,
    ( ~ p(f(f(f(f(f(X_6))))))
    | p(f(f(f(X_6)))) ),
    inference(subst,[],[refute_0_16:[bind(X_9,$fot(f(f(f(X_6)))))]]) ).

cnf(refute_0_24,plain,
    ( p(X_6)
    | p(f(f(f(X_6)))) ),
    inference(resolve,[$cnf( p(f(f(f(f(f(X_6)))))) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( p(X_11)
    | p(f(f(f(X_11)))) ),
    inference(subst,[],[refute_0_24:[bind(X_6,$fot(X_11))]]) ).

cnf(refute_0_26,plain,
    ( p(X_11)
    | p(f(X_11)) ),
    inference(resolve,[$cnf( p(f(f(f(X_11)))) )],[refute_0_25,refute_0_17]) ).

cnf(refute_0_27,plain,
    ( p(X_13)
    | p(f(X_13)) ),
    inference(subst,[],[refute_0_26:[bind(X_11,$fot(X_13))]]) ).

cnf(refute_0_28,plain,
    p(X_13),
    inference(resolve,[$cnf( p(f(X_13)) )],[refute_0_27,refute_0_11]) ).

cnf(refute_0_29,plain,
    p(f(f(f(f(f(f(f(f(X))))))))),
    inference(subst,[],[refute_0_28:[bind(X_13,$fot(f(f(f(f(f(f(f(f(X))))))))))]]) ).

cnf(refute_0_30,plain,
    ~ p(X),
    inference(resolve,[$cnf( p(f(f(f(f(f(f(f(f(X))))))))) )],[refute_0_29,negative]) ).

cnf(refute_0_31,plain,
    p(X),
    inference(subst,[],[refute_0_28:[bind(X_13,$fot(X))]]) ).

cnf(refute_0_32,plain,
    $false,
    inference(resolve,[$cnf( p(X) )],[refute_0_31,refute_0_30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 23:25:12 EDT 2022
% 0.18/0.34  % CPUTime  : 
% 0.18/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35  
% 0.18/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.35  
%------------------------------------------------------------------------------