TSTP Solution File: SYN705-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN705-1 : 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 09:04:54 EDT 2022

% Result   : Unsatisfiable 0.18s 0.37s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (  15 unt;   0 nHn;  20 RR)
%            Number of literals    :   55 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  11 con; 0-2 aty)
%            Number of variables   :   57 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p7_3,negated_conjecture,
    p7(X162,X162) ).

cnf(p2_20,negated_conjecture,
    p2(X38,X38) ).

cnf(not_p47_51,negated_conjecture,
    ~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55) ).

cnf(p47_53,negated_conjecture,
    ( p47(X151,X152)
    | ~ p47(X153,X154)
    | ~ p7(X154,X152)
    | ~ p4(X153,X151) ) ).

cnf(p4_58,negated_conjecture,
    ( p4(f5(X126,X127),f5(X128,X129))
    | ~ p2(X126,X128)
    | ~ p3(X127,X129) ) ).

cnf(p47_74,negated_conjecture,
    ( p47(X147,X148)
    | ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148) ) ).

cnf(p47_75,negated_conjecture,
    ( p47(X65,X69)
    | ~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X69) ) ).

cnf(p47_76,negated_conjecture,
    ( p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
    | ~ p47(X147,X148) ) ).

cnf(p47_77,negated_conjecture,
    p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55) ).

cnf(p3_80,negated_conjecture,
    p3(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68),f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68))) ).

cnf(refute_0_0,plain,
    ( ~ p47(c51,c55)
    | p47(f5(c48,f13(f16(f18(c50,c51),X149),X150)),c55) ),
    inference(subst,[],[p47_76:[bind(X147,$fot(c51)),bind(X148,$fot(c55))]]) ).

cnf(refute_0_1,plain,
    ( ~ p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55)
    | p47(c51,c55) ),
    inference(subst,[],[p47_75:[bind(X65,$fot(c51)),bind(X66,$fot(c52)),bind(X67,$fot(c53)),bind(X68,$fot(c54)),bind(X69,$fot(c55))]]) ).

cnf(refute_0_2,plain,
    ( ~ p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55)
    | p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55) ),
    inference(subst,[],[p47_74:[bind(X147,$fot(f20(f22(f24(f26(c56,c51),c52),c53),c54))),bind(X148,$fot(c55)),bind(X149,$fot(f30(f32(f34(f36(c57,c51),c52),c53),c54))),bind(X150,$fot(f40(f42(f44(f46(c58,c51),c52),c53),c54)))]]) ).

cnf(refute_0_3,plain,
    p7(X_396,X_396),
    inference(subst,[],[p7_3:[bind(X162,$fot(X_396))]]) ).

cnf(refute_0_4,plain,
    ( ~ p4(X_397,X_395)
    | ~ p47(X_397,X_396)
    | ~ p7(X_396,X_396)
    | p47(X_395,X_396) ),
    inference(subst,[],[p47_53:[bind(X151,$fot(X_395)),bind(X152,$fot(X_396)),bind(X153,$fot(X_397)),bind(X154,$fot(X_396))]]) ).

cnf(refute_0_5,plain,
    ( ~ p4(X_397,X_395)
    | ~ p47(X_397,X_396)
    | p47(X_395,X_396) ),
    inference(resolve,[$cnf( p7(X_396,X_396) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X_403)
    | ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55)
    | p47(X_403,c55) ),
    inference(subst,[],[refute_0_5:[bind(X_395,$fot(X_403)),bind(X_396,$fot(c55)),bind(X_397,$fot(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54))))]]) ).

cnf(refute_0_7,plain,
    ( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X_403)
    | p47(X_403,c55) ),
    inference(resolve,[$cnf( p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55) )],[p47_77,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))))
    | p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55) ),
    inference(subst,[],[refute_0_7:[bind(X_403,$fot(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54)))))]]) ).

cnf(refute_0_9,plain,
    p2(X_223,X_223),
    inference(subst,[],[p2_20:[bind(X38,$fot(X_223))]]) ).

cnf(refute_0_10,plain,
    ( ~ p2(X_223,X_223)
    | ~ p3(X_222,X_224)
    | p4(f5(X_223,X_222),f5(X_223,X_224)) ),
    inference(subst,[],[p4_58:[bind(X126,$fot(X_223)),bind(X127,$fot(X_222)),bind(X128,$fot(X_223)),bind(X129,$fot(X_224))]]) ).

cnf(refute_0_11,plain,
    ( ~ p3(X_222,X_224)
    | p4(f5(X_223,X_222),f5(X_223,X_224)) ),
    inference(resolve,[$cnf( p2(X_223,X_223) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ p3(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68),f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68)))
    | p4(f5(X_229,f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68)),f5(X_229,f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68)))) ),
    inference(subst,[],[refute_0_11:[bind(X_222,$fot(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68))),bind(X_223,$fot(X_229)),bind(X_224,$fot(f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68))))]]) ).

cnf(refute_0_13,plain,
    p4(f5(X_229,f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68)),f5(X_229,f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68)))),
    inference(resolve,[$cnf( p3(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68),f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68))) )],[p3_80,refute_0_12]) ).

cnf(refute_0_14,plain,
    p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54)))),
    inference(subst,[],[refute_0_13:[bind(X65,$fot(c51)),bind(X66,$fot(c52)),bind(X67,$fot(c53)),bind(X68,$fot(c54)),bind(X_229,$fot(c48))]]) ).

cnf(refute_0_15,plain,
    p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55),
    inference(resolve,[$cnf( p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54)))) )],[refute_0_14,refute_0_8]) ).

cnf(refute_0_16,plain,
    p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55),
    inference(resolve,[$cnf( p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55) )],[refute_0_15,refute_0_2]) ).

cnf(refute_0_17,plain,
    p47(c51,c55),
    inference(resolve,[$cnf( p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55) )],[refute_0_16,refute_0_1]) ).

cnf(refute_0_18,plain,
    p47(f5(c48,f13(f16(f18(c50,c51),X149),X150)),c55),
    inference(resolve,[$cnf( p47(c51,c55) )],[refute_0_17,refute_0_0]) ).

cnf(refute_0_19,plain,
    p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
    inference(subst,[],[refute_0_18:[bind(X149,$fot(c52)),bind(X150,$fot(c53))]]) ).

cnf(refute_0_20,plain,
    $false,
    inference(resolve,[$cnf( p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55) )],[refute_0_19,not_p47_51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN705-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jul 12 00:24:04 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37  
% 0.18/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.37  
%------------------------------------------------------------------------------