%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN657-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n012.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 09:04:37 EDT 2022

% Result   : Unsatisfiable 191.42s 191.68s
% Output   : CNFRefutation 191.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (   7 unt;   7 nHn;  17 RR)
%            Number of literals    :   39 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :   24 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p6_11,negated_conjecture,
    ~ p6(c28,f10(c33)) ).

cnf(p6_15,negated_conjecture,
    p6(f21(f8(X82,f9(X83,X84))),X83) ).

cnf(p6_25,negated_conjecture,
    ( p6(X72,X73)
    | ~ p6(X71,X72)
    | ~ p6(X71,X73) ) ).

cnf(not_p4_44,negated_conjecture,
    ~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)) ).

cnf(p24_45,negated_conjecture,
    ( p24(f19(f20(c31,c34)),f19(f20(c31,X20)))
    | ~ p25(X20,f18(f8(c27,f9(c28,c29)))) ) ).

cnf(p6_48,negated_conjecture,
    ( p6(f21(X25),f10(c33))
    | p25(f22(X25,X26,X27),f18(X25))
    | p4(f5(X25,c36,X26),f5(X25,c36,X27)) ) ).

cnf(p6_49,negated_conjecture,
    ( p6(f21(X25),f10(c33))
    | p4(f5(X25,c36,X26),f5(X25,c36,X27))
    | ~ p24(f19(f20(X26,X27)),f19(f20(X26,f22(X25,X26,X27)))) ) ).

cnf(refute_0_0,plain,
    p6(f21(f8(X82,f9(X_317,X84))),X_317),
    inference(subst,[],[p6_15:[bind(X83,$fot(X_317))]]) ).

cnf(refute_0_1,plain,
    ( ~ p6(f21(f8(X82,f9(X_317,X84))),X_317)
    | ~ p6(f21(f8(X82,f9(X_317,X84))),X_318)
    | p6(X_317,X_318) ),
    inference(subst,[],[p6_25:[bind(X71,$fot(f21(f8(X82,f9(X_317,X84))))),bind(X72,$fot(X_317)),bind(X73,$fot(X_318))]]) ).

cnf(refute_0_2,plain,
    ( ~ p6(f21(f8(X82,f9(X_317,X84))),X_318)
    | p6(X_317,X_318) ),
    inference(resolve,[$cnf( p6(f21(f8(X82,f9(X_317,X84))),X_317) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p6(f21(f8(c27,f9(c28,c29))),f10(c33))
    | p6(c28,f10(c33)) ),
    inference(subst,[],[refute_0_2:[bind(X82,$fot(c27)),bind(X84,$fot(c29)),bind(X_317,$fot(c28)),bind(X_318,$fot(f10(c33)))]]) ).

cnf(refute_0_4,plain,
    ( ~ p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
    | p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))) ),
    inference(subst,[],[p24_45:[bind(X20,$fot(f22(f8(c27,f9(c28,c29)),c31,c34)))]]) ).

cnf(refute_0_5,plain,
    ( p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
    | p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
    | p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
    inference(subst,[],[p6_48:[bind(X25,$fot(f8(c27,f9(c28,c29)))),bind(X26,$fot(c31)),bind(X27,$fot(c34))]]) ).

cnf(refute_0_6,plain,
    ( p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
    | p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
    inference(resolve,[$cnf( p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)) )],[refute_0_5,not_p4_44]) ).

cnf(refute_0_7,plain,
    ( p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34))))
    | p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
    inference(resolve,[$cnf( p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))) )],[refute_0_6,refute_0_4]) ).

cnf(refute_0_8,plain,
    ( ~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34))))
    | p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
    | p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
    inference(subst,[],[p6_49:[bind(X25,$fot(f8(c27,f9(c28,c29)))),bind(X26,$fot(c31)),bind(X27,$fot(c34))]]) ).

cnf(refute_0_9,plain,
    ( p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
    | p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
    inference(resolve,[$cnf( p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    p6(f21(f8(c27,f9(c28,c29))),f10(c33)),
    inference(resolve,[$cnf( p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)) )],[refute_0_9,not_p4_44]) ).

cnf(refute_0_11,plain,
    p6(c28,f10(c33)),
    inference(resolve,[$cnf( p6(f21(f8(c27,f9(c28,c29))),f10(c33)) )],[refute_0_10,refute_0_3]) ).

cnf(refute_0_12,plain,
    $false,
    inference(resolve,[$cnf( p6(c28,f10(c33)) )],[refute_0_11,not_p6_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN657-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jul 12 00:42:12 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 191.42/191.68  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 191.42/191.68  
% 191.42/191.68  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 191.52/191.68  
%------------------------------------------------------------------------------