%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN584-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.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 09:04:10 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  10 unt;   0 nHn;  16 RR)
%            Number of literals    :   38 (   0 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    8 (   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   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p12_1,negated_conjecture,
    p12(X0,X0) ).

cnf(p3_4,negated_conjecture,
    p3(X26,X26) ).

cnf(p12_9,negated_conjecture,
    ( p12(X1,X2)
    | ~ p12(X0,X1)
    | ~ p12(X0,X2) ) ).

cnf(p15_15,negated_conjecture,
    ( p15(X11,X12)
    | ~ p15(X13,X14)
    | ~ p3(X14,X12)
    | ~ p12(X13,X11) ) ).

cnf(p15_21,negated_conjecture,
    p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ).

cnf(p12_23,negated_conjecture,
    p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22) ).

cnf(not_p15_25,negated_conjecture,
    ~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ).

cnf(refute_0_0,plain,
    p12(X_21,X_21),
    inference(subst,[],[p12_1:[bind(X0,$fot(X_21))]]) ).

cnf(refute_0_1,plain,
    ( ~ p12(X_21,X_20)
    | ~ p12(X_21,X_21)
    | p12(X_20,X_21) ),
    inference(subst,[],[p12_9:[bind(X0,$fot(X_21)),bind(X1,$fot(X_20)),bind(X2,$fot(X_21))]]) ).

cnf(refute_0_2,plain,
    ( ~ p12(X_21,X_20)
    | p12(X_20,X_21) ),
    inference(resolve,[$cnf( p12(X_21,X_21) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22)
    | p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))) ),
    inference(subst,[],[refute_0_2:[bind(X_20,$fot(c22)),bind(X_21,$fot(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))))]]) ).

cnf(refute_0_4,plain,
    p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))),
    inference(resolve,[$cnf( p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22) )],[p12_23,refute_0_3]) ).

cnf(refute_0_5,plain,
    p3(X_170,X_170),
    inference(subst,[],[p3_4:[bind(X26,$fot(X_170))]]) ).

cnf(refute_0_6,plain,
    ( ~ p12(X_171,X_169)
    | ~ p15(X_171,X_170)
    | ~ p3(X_170,X_170)
    | p15(X_169,X_170) ),
    inference(subst,[],[p15_15:[bind(X11,$fot(X_169)),bind(X12,$fot(X_170)),bind(X13,$fot(X_171)),bind(X14,$fot(X_170))]]) ).

cnf(refute_0_7,plain,
    ( ~ p12(X_171,X_169)
    | ~ p15(X_171,X_170)
    | p15(X_169,X_170) ),
    inference(resolve,[$cnf( p3(X_170,X_170) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ p12(c22,X_176)
    | ~ p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))
    | p15(X_176,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ),
    inference(subst,[],[refute_0_7:[bind(X_169,$fot(X_176)),bind(X_170,$fot(f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))),bind(X_171,$fot(c22))]]) ).

cnf(refute_0_9,plain,
    ( ~ p12(c22,X_176)
    | p15(X_176,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ),
    inference(resolve,[$cnf( p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) )],[p15_21,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)))
    | p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ),
    inference(subst,[],[refute_0_9:[bind(X_176,$fot(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))))]]) ).

cnf(refute_0_11,plain,
    p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
    inference(resolve,[$cnf( p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))) )],[refute_0_4,refute_0_10]) ).

cnf(refute_0_12,plain,
    $false,
    inference(resolve,[$cnf( p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) )],[refute_0_11,not_p15_25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN584-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 16:22:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  
% 0.20/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.51  
%------------------------------------------------------------------------------