%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN590-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n013.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 09:04:12 EDT 2022

% Result   : Unsatisfiable 0.77s 1.00s
% Output   : CNFRefutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (   9 unt;   0 nHn;  25 RR)
%            Number of literals    :   49 (   0 equ;  28 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c16_is_p11_3,negated_conjecture,
    p11(c16) ).

cnf(p3_8,negated_conjecture,
    p3(f4(c16),f6(c15)) ).

cnf(p11_9,negated_conjecture,
    ( p11(f9(X4))
    | ~ p11(X4) ) ).

cnf(p12_11,negated_conjecture,
    ( p12(X5,X6)
    | ~ p10(f6(X5),f6(X6)) ) ).

cnf(p3_18,negated_conjecture,
    ( p3(f4(X24),f6(f8(X24)))
    | ~ p11(X24) ) ).

cnf(p10_19,negated_conjecture,
    ( p10(f4(f9(X4)),f4(X4))
    | ~ p11(X4) ) ).

cnf(not_p11_25,negated_conjecture,
    ( ~ p11(X34)
    | ~ p12(X35,c15)
    | ~ p3(f4(X34),f6(X35)) ) ).

cnf(p10_26,negated_conjecture,
    ( p10(X0,X1)
    | ~ p3(X2,X0)
    | ~ p3(X3,X1)
    | ~ p10(X2,X3) ) ).

cnf(refute_0_0,plain,
    ( ~ p10(f6(f8(f9(c16))),f6(c15))
    | p12(f8(f9(c16)),c15) ),
    inference(subst,[],[p12_11:[bind(X5,$fot(f8(f9(c16)))),bind(X6,$fot(c15))]]) ).

cnf(refute_0_1,plain,
    ( ~ p11(c16)
    | p11(f9(c16)) ),
    inference(subst,[],[p11_9:[bind(X4,$fot(c16))]]) ).

cnf(refute_0_2,plain,
    p11(f9(c16)),
    inference(resolve,[$cnf( p11(c16) )],[c16_is_p11_3,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p11(f9(c16))
    | p3(f4(f9(c16)),f6(f8(f9(c16)))) ),
    inference(subst,[],[p3_18:[bind(X24,$fot(f9(c16)))]]) ).

cnf(refute_0_4,plain,
    p3(f4(f9(c16)),f6(f8(f9(c16)))),
    inference(resolve,[$cnf( p11(f9(c16)) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ p10(X_158,f4(c16))
    | ~ p3(X_158,X_156)
    | ~ p3(f4(c16),f6(c15))
    | p10(X_156,f6(c15)) ),
    inference(subst,[],[p10_26:[bind(X0,$fot(X_156)),bind(X1,$fot(f6(c15))),bind(X2,$fot(X_158)),bind(X3,$fot(f4(c16)))]]) ).

cnf(refute_0_6,plain,
    ( ~ p10(X_158,f4(c16))
    | ~ p3(X_158,X_156)
    | p10(X_156,f6(c15)) ),
    inference(resolve,[$cnf( p3(f4(c16),f6(c15)) )],[p3_8,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ p10(f4(f9(c16)),f4(c16))
    | ~ p3(f4(f9(c16)),f6(f8(f9(c16))))
    | p10(f6(f8(f9(c16))),f6(c15)) ),
    inference(subst,[],[refute_0_6:[bind(X_156,$fot(f6(f8(f9(c16))))),bind(X_158,$fot(f4(f9(c16))))]]) ).

cnf(refute_0_8,plain,
    ( ~ p10(f4(f9(c16)),f4(c16))
    | p10(f6(f8(f9(c16))),f6(c15)) ),
    inference(resolve,[$cnf( p3(f4(f9(c16)),f6(f8(f9(c16)))) )],[refute_0_4,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ p11(c16)
    | p10(f4(f9(c16)),f4(c16)) ),
    inference(subst,[],[p10_19:[bind(X4,$fot(c16))]]) ).

cnf(refute_0_10,plain,
    p10(f4(f9(c16)),f4(c16)),
    inference(resolve,[$cnf( p11(c16) )],[c16_is_p11_3,refute_0_9]) ).

cnf(refute_0_11,plain,
    p10(f6(f8(f9(c16))),f6(c15)),
    inference(resolve,[$cnf( p10(f4(f9(c16)),f4(c16)) )],[refute_0_10,refute_0_8]) ).

cnf(refute_0_12,plain,
    p12(f8(f9(c16)),c15),
    inference(resolve,[$cnf( p10(f6(f8(f9(c16))),f6(c15)) )],[refute_0_11,refute_0_0]) ).

cnf(refute_0_13,plain,
    ( ~ p11(f9(c16))
    | ~ p12(f8(f9(c16)),c15)
    | ~ p3(f4(f9(c16)),f6(f8(f9(c16)))) ),
    inference(subst,[],[not_p11_25:[bind(X34,$fot(f9(c16))),bind(X35,$fot(f8(f9(c16))))]]) ).

cnf(refute_0_14,plain,
    ( ~ p11(f9(c16))
    | ~ p12(f8(f9(c16)),c15) ),
    inference(resolve,[$cnf( p3(f4(f9(c16)),f6(f8(f9(c16)))) )],[refute_0_4,refute_0_13]) ).

cnf(refute_0_15,plain,
    ~ p12(f8(f9(c16)),c15),
    inference(resolve,[$cnf( p11(f9(c16)) )],[refute_0_2,refute_0_14]) ).

cnf(refute_0_16,plain,
    $false,
    inference(resolve,[$cnf( p12(f8(f9(c16)),c15) )],[refute_0_12,refute_0_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN590-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n013.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 : Mon Jul 11 17:29:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.77/1.00  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/1.00  
% 0.77/1.00  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.77/1.00  
%------------------------------------------------------------------------------