%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN593-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n010.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 09:04:13 EDT 2022

% Result   : Unsatisfiable 0.22s 0.39s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   8 unt;   7 nHn;  15 RR)
%            Number of literals    :   37 (   0 equ;  12 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    7 (   3 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p3_5,negated_conjecture,
    ~ p3(c21,c19) ).

cnf(not_p12_6,negated_conjecture,
    ~ p12(f13(c20),f13(c18)) ).

cnf(p15_18,negated_conjecture,
    p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20) ).

cnf(p15_19,negated_conjecture,
    p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20) ).

cnf(not_p15_23,negated_conjecture,
    ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20) ).

cnf(not_p15_24,negated_conjecture,
    ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20) ).

cnf(p3_27,negated_conjecture,
    ( p3(X7,X8)
    | p12(f13(X5),f13(c18))
    | p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X8)),X5)
    | p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X7)),X5)
    | ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X7),X5)
    | ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X8),X5) ) ).

cnf(refute_0_0,plain,
    ( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X_97),c20)
    | ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20)
    | p12(f13(c20),f13(c18))
    | p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X_97)),c20)
    | p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)
    | p3(c21,X_97) ),
    inference(subst,[],[p3_27:[bind(X5,$fot(c20)),bind(X6,$fot(c16)),bind(X7,$fot(c21)),bind(X8,$fot(X_97))]]) ).

cnf(refute_0_1,plain,
    ( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X_97),c20)
    | p12(f13(c20),f13(c18))
    | p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X_97)),c20)
    | p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)
    | p3(c21,X_97) ),
    inference(resolve,[$cnf( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20) )],[p15_19,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X_97),c20)
    | p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X_97)),c20)
    | p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)
    | p3(c21,X_97) ),
    inference(resolve,[$cnf( p12(f13(c20),f13(c18)) )],[refute_0_1,not_p12_6]) ).

cnf(refute_0_3,plain,
    ( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X_97),c20)
    | p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X_97)),c20)
    | p3(c21,X_97) ),
    inference(resolve,[$cnf( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20) )],[refute_0_2,not_p15_23]) ).

cnf(refute_0_4,plain,
    ( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
    | p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20)
    | p3(c21,c19) ),
    inference(subst,[],[refute_0_3:[bind(X_97,$fot(c19))]]) ).

cnf(refute_0_5,plain,
    ( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20)
    | p3(c21,c19) ),
    inference(resolve,[$cnf( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20) )],[p15_18,refute_0_4]) ).

cnf(refute_0_6,plain,
    p3(c21,c19),
    inference(resolve,[$cnf( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20) )],[refute_0_5,not_p15_24]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( p3(c21,c19) )],[refute_0_6,not_p3_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem  : SYN593-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.15  % Command  : metis --show proof --show saturation %s
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Tue Jul 12 00:26:00 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.22/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.39  
% 0.22/0.39  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.22/0.40  
%------------------------------------------------------------------------------