TSTP Solution File: SYN637-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN637-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 09:04:29 EDT 2022

% Result   : Unsatisfiable 1.01s 1.18s
% Output   : CNFRefutation 1.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   33 (  16 unt;   0 nHn;  20 RR)
%            Number of literals    :   60 (   0 equ;  28 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   54 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_4,negated_conjecture,
    p4(X36,X36) ).

cnf(p4_12,negated_conjecture,
    ( p4(f16(X39),f16(X40))
    | ~ p4(X39,X40) ) ).

cnf(p4_22,negated_conjecture,
    ( p4(X37,X38)
    | ~ p4(X36,X37)
    | ~ p4(X36,X38) ) ).

cnf(p22_28,negated_conjecture,
    ( p22(X20,X21)
    | ~ p4(X22,X20)
    | ~ p4(X23,X21)
    | ~ p22(X22,X23) ) ).

cnf(p4_32,negated_conjecture,
    ( p4(f17(X41,X42),f17(X43,X44))
    | ~ p4(X41,X43)
    | ~ p4(X42,X44) ) ).

cnf(p4_39,negated_conjecture,
    p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29)) ).

cnf(p22_40,negated_conjecture,
    p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))) ).

cnf(not_p22_41,negated_conjecture,
    ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))) ).

cnf(refute_0_0,plain,
    p4(X_70,X_70),
    inference(subst,[],[p4_4:[bind(X36,$fot(X_70))]]) ).

cnf(refute_0_1,plain,
    ( ~ p4(X_70,X_69)
    | ~ p4(X_70,X_70)
    | p4(X_69,X_70) ),
    inference(subst,[],[p4_22:[bind(X36,$fot(X_70)),bind(X37,$fot(X_69)),bind(X38,$fot(X_70))]]) ).

cnf(refute_0_2,plain,
    ( ~ p4(X_70,X_69)
    | p4(X_69,X_70) ),
    inference(resolve,[$cnf( p4(X_70,X_70) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p4(f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c29))),f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c27))))
    | p4(f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c27))),f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c29)))) ),
    inference(subst,[],[refute_0_2:[bind(X_69,$fot(f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c27))))),bind(X_70,$fot(f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c29)))))]]) ).

cnf(refute_0_4,plain,
    ( ~ p4(f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c29)),f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c27)))
    | p4(f16(f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c29))),f16(f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c27)))) ),
    inference(subst,[],[p4_12:[bind(X39,$fot(f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c29)))),bind(X40,$fot(f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c27))))]]) ).

cnf(refute_0_5,plain,
    ( ~ p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29))
    | p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27)) ),
    inference(subst,[],[refute_0_2:[bind(X_69,$fot(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29))),bind(X_70,$fot(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27)))]]) ).

cnf(refute_0_6,plain,
    p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27)),
    inference(resolve,[$cnf( p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29)) )],[p4_39,refute_0_5]) ).

cnf(refute_0_7,plain,
    p4(X_137,X_137),
    inference(subst,[],[p4_4:[bind(X36,$fot(X_137))]]) ).

cnf(refute_0_8,plain,
    ( ~ p4(X_136,X_138)
    | ~ p4(X_137,X_137)
    | p4(f17(X_137,X_136),f17(X_137,X_138)) ),
    inference(subst,[],[p4_32:[bind(X41,$fot(X_137)),bind(X42,$fot(X_136)),bind(X43,$fot(X_137)),bind(X44,$fot(X_138))]]) ).

cnf(refute_0_9,plain,
    ( ~ p4(X_136,X_138)
    | p4(f17(X_137,X_136),f17(X_137,X_138)) ),
    inference(resolve,[$cnf( p4(X_137,X_137) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27))
    | p4(f17(X_140,f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29)),f17(X_140,f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27))) ),
    inference(subst,[],[refute_0_9:[bind(X_136,$fot(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29))),bind(X_137,$fot(X_140)),bind(X_138,$fot(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27)))]]) ).

cnf(refute_0_11,plain,
    p4(f17(X_140,f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29)),f17(X_140,f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27))),
    inference(resolve,[$cnf( p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27)) )],[refute_0_6,refute_0_10]) ).

cnf(refute_0_12,plain,
    p4(f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c29)),f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c27))),
    inference(subst,[],[refute_0_11:[bind(X51,$fot(X_163)),bind(X_140,$fot(X_164))]]) ).

cnf(refute_0_13,plain,
    p4(f16(f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c29))),f16(f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c27)))),
    inference(resolve,[$cnf( p4(f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c29)),f17(X_164,f5(f8(f11(c25),f9(f10(c25),c28)),X_163,c27))) )],[refute_0_12,refute_0_4]) ).

cnf(refute_0_14,plain,
    p4(f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c29))),f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c27)))),
    inference(subst,[],[refute_0_13:[bind(X_163,$fot(X_454)),bind(X_164,$fot(X_455))]]) ).

cnf(refute_0_15,plain,
    p4(f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c27))),f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c29)))),
    inference(resolve,[$cnf( p4(f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c29))),f16(f17(X_455,f5(f8(f11(c25),f9(f10(c25),c28)),X_454,c27)))) )],[refute_0_14,refute_0_3]) ).

cnf(refute_0_16,plain,
    p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))),
    inference(subst,[],[refute_0_15:[bind(X_454,$fot(c26)),bind(X_455,$fot(c27))]]) ).

cnf(refute_0_17,plain,
    p4(X_285,X_285),
    inference(subst,[],[p4_4:[bind(X36,$fot(X_285))]]) ).

cnf(refute_0_18,plain,
    ( ~ p22(X_286,X_285)
    | ~ p4(X_285,X_285)
    | ~ p4(X_286,X_284)
    | p22(X_284,X_285) ),
    inference(subst,[],[p22_28:[bind(X20,$fot(X_284)),bind(X21,$fot(X_285)),bind(X22,$fot(X_286)),bind(X23,$fot(X_285))]]) ).

cnf(refute_0_19,plain,
    ( ~ p22(X_286,X_285)
    | ~ p4(X_286,X_284)
    | p22(X_284,X_285) ),
    inference(resolve,[$cnf( p4(X_285,X_285) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27))))
    | ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),X_331)
    | p22(X_331,f16(f17(c27,f5(c25,c26,c27)))) ),
    inference(subst,[],[refute_0_19:[bind(X_284,$fot(X_331)),bind(X_285,$fot(f16(f17(c27,f5(c25,c26,c27))))),bind(X_286,$fot(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)))))]]) ).

cnf(refute_0_21,plain,
    ( ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),X_331)
    | p22(X_331,f16(f17(c27,f5(c25,c26,c27)))) ),
    inference(resolve,[$cnf( p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))) )],[p22_40,refute_0_20]) ).

cnf(refute_0_22,plain,
    ( ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))))
    | p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))) ),
    inference(subst,[],[refute_0_21:[bind(X_331,$fot(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))))]]) ).

cnf(refute_0_23,plain,
    p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
    inference(resolve,[$cnf( p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))) )],[refute_0_16,refute_0_22]) ).

cnf(refute_0_24,plain,
    $false,
    inference(resolve,[$cnf( p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))) )],[refute_0_23,not_p22_41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN637-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 21:03:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.01/1.18  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.18  
% 1.01/1.18  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.01/1.19  
%------------------------------------------------------------------------------