%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN652-1 : 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 09:04:35 EDT 2022

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   37 (  18 unt;   0 nHn;  28 RR)
%            Number of literals    :   63 (   0 equ;  27 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_5,negated_conjecture,
    p4(X53,X53) ).

cnf(p14_14,negated_conjecture,
    p14(X6,X6) ).

cnf(p4_16,negated_conjecture,
    p4(c34,f5(c35,c32)) ).

cnf(p27_17,negated_conjecture,
    p27(f8(f10(c28,f13(c29,c30)),c32),c33) ).

cnf(not_p4_18,negated_conjecture,
    ~ p4(f5(c31,c33),f15(f17(c36,c31),c34)) ).

cnf(p4_23,negated_conjecture,
    ( p4(X54,X55)
    | ~ p4(X53,X54)
    | ~ p4(X53,X55) ) ).

cnf(p4_34,negated_conjecture,
    p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61)) ).

cnf(p4_41,negated_conjecture,
    ( p4(f15(X56,X57),f15(X58,X59))
    | ~ p14(X56,X58)
    | ~ p4(X57,X59) ) ).

cnf(p4_46,negated_conjecture,
    ( p4(f5(c31,X73),f5(c31,X74))
    | ~ p27(f8(f10(c28,f13(c29,c30)),X73),X74) ) ).

cnf(refute_0_0,plain,
    ( ~ p4(f15(f17(c36,c31),f5(c35,c32)),X55)
    | ~ p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33))
    | p4(f5(c31,c33),X55) ),
    inference(subst,[],[p4_23:[bind(X53,$fot(f15(f17(c36,c31),f5(c35,c32)))),bind(X54,$fot(f5(c31,c33)))]]) ).

cnf(refute_0_1,plain,
    ( ~ p27(f8(f10(c28,f13(c29,c30)),c32),c33)
    | p4(f5(c31,c32),f5(c31,c33)) ),
    inference(subst,[],[p4_46:[bind(X73,$fot(c32)),bind(X74,$fot(c33))]]) ).

cnf(refute_0_2,plain,
    p4(f5(c31,c32),f5(c31,c33)),
    inference(resolve,[$cnf( p27(f8(f10(c28,f13(c29,c30)),c32),c33) )],[p27_17,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p4(f5(c31,c32),X_43)
    | ~ p4(f5(c31,c32),f5(c31,c33))
    | p4(X_43,f5(c31,c33)) ),
    inference(subst,[],[p4_23:[bind(X53,$fot(f5(c31,c32))),bind(X54,$fot(X_43)),bind(X55,$fot(f5(c31,c33)))]]) ).

cnf(refute_0_4,plain,
    ( ~ p4(f5(c31,c32),X_43)
    | p4(X_43,f5(c31,c33)) ),
    inference(resolve,[$cnf( p4(f5(c31,c32),f5(c31,c33)) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ p4(f5(c31,c32),f15(f17(c36,c31),f5(c35,c32)))
    | p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33)) ),
    inference(subst,[],[refute_0_4:[bind(X_43,$fot(f15(f17(c36,c31),f5(c35,c32))))]]) ).

cnf(refute_0_6,plain,
    p4(X_44,X_44),
    inference(subst,[],[p4_5:[bind(X53,$fot(X_44))]]) ).

cnf(refute_0_7,plain,
    ( ~ p4(X_44,X_43)
    | ~ p4(X_44,X_44)
    | p4(X_43,X_44) ),
    inference(subst,[],[p4_23:[bind(X53,$fot(X_44)),bind(X54,$fot(X_43)),bind(X55,$fot(X_44))]]) ).

cnf(refute_0_8,plain,
    ( ~ p4(X_44,X_43)
    | p4(X_43,X_44) ),
    inference(resolve,[$cnf( p4(X_44,X_44) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61))
    | p4(f5(X60,X61),f15(f17(c36,X60),f5(c35,X61))) ),
    inference(subst,[],[refute_0_8:[bind(X_43,$fot(f5(X60,X61))),bind(X_44,$fot(f15(f17(c36,X60),f5(c35,X61))))]]) ).

cnf(refute_0_10,plain,
    p4(f5(X60,X61),f15(f17(c36,X60),f5(c35,X61))),
    inference(resolve,[$cnf( p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61)) )],[p4_34,refute_0_9]) ).

cnf(refute_0_11,plain,
    p4(f5(c31,c32),f15(f17(c36,c31),f5(c35,c32))),
    inference(subst,[],[refute_0_10:[bind(X60,$fot(c31)),bind(X61,$fot(c32))]]) ).

cnf(refute_0_12,plain,
    p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33)),
    inference(resolve,[$cnf( p4(f5(c31,c32),f15(f17(c36,c31),f5(c35,c32))) )],[refute_0_11,refute_0_5]) ).

cnf(refute_0_13,plain,
    ( ~ p4(f15(f17(c36,c31),f5(c35,c32)),X55)
    | p4(f5(c31,c33),X55) ),
    inference(resolve,[$cnf( p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33)) )],[refute_0_12,refute_0_0]) ).

cnf(refute_0_14,plain,
    ( ~ p4(f15(f17(c36,c31),f5(c35,c32)),f15(f17(c36,c31),c34))
    | p4(f5(c31,c33),f15(f17(c36,c31),c34)) ),
    inference(subst,[],[refute_0_13:[bind(X55,$fot(f15(f17(c36,c31),c34)))]]) ).

cnf(refute_0_15,plain,
    p4(c34,c34),
    inference(subst,[],[p4_5:[bind(X53,$fot(c34))]]) ).

cnf(refute_0_16,plain,
    ( ~ p4(c34,X_44)
    | ~ p4(c34,f5(c35,c32))
    | p4(f5(c35,c32),X_44) ),
    inference(subst,[],[p4_23:[bind(X53,$fot(c34)),bind(X54,$fot(f5(c35,c32))),bind(X55,$fot(X_44))]]) ).

cnf(refute_0_17,plain,
    ( ~ p4(c34,X_44)
    | p4(f5(c35,c32),X_44) ),
    inference(resolve,[$cnf( p4(c34,f5(c35,c32)) )],[p4_16,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( ~ p4(c34,c34)
    | p4(f5(c35,c32),c34) ),
    inference(subst,[],[refute_0_17:[bind(X_44,$fot(c34))]]) ).

cnf(refute_0_19,plain,
    p4(f5(c35,c32),c34),
    inference(resolve,[$cnf( p4(c34,c34) )],[refute_0_15,refute_0_18]) ).

cnf(refute_0_20,plain,
    p14(X_192,X_192),
    inference(subst,[],[p14_14:[bind(X6,$fot(X_192))]]) ).

cnf(refute_0_21,plain,
    ( ~ p14(X_192,X_192)
    | ~ p4(X_191,X_193)
    | p4(f15(X_192,X_191),f15(X_192,X_193)) ),
    inference(subst,[],[p4_41:[bind(X56,$fot(X_192)),bind(X57,$fot(X_191)),bind(X58,$fot(X_192)),bind(X59,$fot(X_193))]]) ).

cnf(refute_0_22,plain,
    ( ~ p4(X_191,X_193)
    | p4(f15(X_192,X_191),f15(X_192,X_193)) ),
    inference(resolve,[$cnf( p14(X_192,X_192) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ~ p4(f5(c35,c32),c34)
    | p4(f15(X_202,f5(c35,c32)),f15(X_202,c34)) ),
    inference(subst,[],[refute_0_22:[bind(X_191,$fot(f5(c35,c32))),bind(X_192,$fot(X_202)),bind(X_193,$fot(c34))]]) ).

cnf(refute_0_24,plain,
    p4(f15(X_202,f5(c35,c32)),f15(X_202,c34)),
    inference(resolve,[$cnf( p4(f5(c35,c32),c34) )],[refute_0_19,refute_0_23]) ).

cnf(refute_0_25,plain,
    p4(f15(f17(c36,c31),f5(c35,c32)),f15(f17(c36,c31),c34)),
    inference(subst,[],[refute_0_24:[bind(X_202,$fot(f17(c36,c31)))]]) ).

cnf(refute_0_26,plain,
    p4(f5(c31,c33),f15(f17(c36,c31),c34)),
    inference(resolve,[$cnf( p4(f15(f17(c36,c31),f5(c35,c32)),f15(f17(c36,c31),c34)) )],[refute_0_25,refute_0_14]) ).

cnf(refute_0_27,plain,
    $false,
    inference(resolve,[$cnf( p4(f5(c31,c33),f15(f17(c36,c31),c34)) )],[refute_0_26,not_p4_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN652-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n017.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 22:42:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.38  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  
% 0.12/0.38  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.39  
%------------------------------------------------------------------------------