%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.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 09:04:04 EDT 2022

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (   8 unt;   8 nHn;  11 RR)
%            Number of literals    :   34 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p11_3,negated_conjecture,
    ~ p11(f9(c13),f9(c14)) ).

cnf(p11_4,negated_conjecture,
    p11(f5(f6(c12)),f9(X16)) ).

cnf(p10_5,negated_conjecture,
    ( p10(X4,X5)
    | p11(X5,X4) ) ).

cnf(not_p10_6,negated_conjecture,
    ( ~ p10(X4,X5)
    | ~ p11(X5,X4) ) ).

cnf(not_p3_7,negated_conjecture,
    ~ p3(f6(f7(f8(c12))),f6(c12)) ).

cnf(p11_18,negated_conjecture,
    p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ).

cnf(p3_20,negated_conjecture,
    ( p3(X7,f6(c12))
    | p10(f4(X6,X7),f4(X8,X7))
    | ~ p10(X6,X8)
    | ~ p11(f5(f6(c12)),X6) ) ).

cnf(refute_0_0,plain,
    ( ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
    | ~ p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ),
    inference(subst,[],[not_p10_6:[bind(X4,$fot(f4(f9(c14),f6(f7(f8(c12)))))),bind(X5,$fot(f4(f9(c13),f6(f7(f8(c12))))))]]) ).

cnf(refute_0_1,plain,
    ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12))))),
    inference(resolve,[$cnf( p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) )],[p11_18,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( p10(f9(c14),f9(c13))
    | p11(f9(c13),f9(c14)) ),
    inference(subst,[],[p10_5:[bind(X4,$fot(f9(c14))),bind(X5,$fot(f9(c13)))]]) ).

cnf(refute_0_3,plain,
    p10(f9(c14),f9(c13)),
    inference(resolve,[$cnf( p11(f9(c13),f9(c14)) )],[refute_0_2,not_p11_3]) ).

cnf(refute_0_4,plain,
    ( ~ p10(f9(X16),X_123)
    | ~ p11(f5(f6(c12)),f9(X16))
    | p10(f4(f9(X16),X_122),f4(X_123,X_122))
    | p3(X_122,f6(c12)) ),
    inference(subst,[],[p3_20:[bind(X6,$fot(f9(X16))),bind(X7,$fot(X_122)),bind(X8,$fot(X_123))]]) ).

cnf(refute_0_5,plain,
    ( ~ p10(f9(X16),X_123)
    | p10(f4(f9(X16),X_122),f4(X_123,X_122))
    | p3(X_122,f6(c12)) ),
    inference(resolve,[$cnf( p11(f5(f6(c12)),f9(X16)) )],[p11_4,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ p10(f9(c14),f9(c13))
    | p10(f4(f9(c14),X_125),f4(f9(c13),X_125))
    | p3(X_125,f6(c12)) ),
    inference(subst,[],[refute_0_5:[bind(X16,$fot(c14)),bind(X_122,$fot(X_125)),bind(X_123,$fot(f9(c13)))]]) ).

cnf(refute_0_7,plain,
    ( p10(f4(f9(c14),X_125),f4(f9(c13),X_125))
    | p3(X_125,f6(c12)) ),
    inference(resolve,[$cnf( p10(f9(c14),f9(c13)) )],[refute_0_3,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
    | p3(f6(f7(f8(c12))),f6(c12)) ),
    inference(subst,[],[refute_0_7:[bind(X_125,$fot(f6(f7(f8(c12)))))]]) ).

cnf(refute_0_9,plain,
    p3(f6(f7(f8(c12))),f6(c12)),
    inference(resolve,[$cnf( p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12))))) )],[refute_0_8,refute_0_1]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( p3(f6(f7(f8(c12))),f6(c12)) )],[refute_0_9,not_p3_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n017.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 : Tue Jul 12 03:04:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  
% 0.13/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37  
%------------------------------------------------------------------------------