TSTP Solution File: SYN703-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN703-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 09:04:53 EDT 2022

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   32 (  16 unt;   0 nHn;  20 RR)
%            Number of literals    :   56 (   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   :   61 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p15_5,negated_conjecture,
    p15(X17,X17) ).

cnf(p2_8,negated_conjecture,
    p2(X30,X30) ).

cnf(not_p47_51,negated_conjecture,
    ~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53) ).

cnf(p47_53,negated_conjecture,
    ( p47(X143,X144)
    | ~ p4(X146,X143)
    | ~ p47(X146,X145)
    | ~ p15(X145,X144) ) ).

cnf(p4_60,negated_conjecture,
    ( p4(f5(X118,X119),f5(X120,X121))
    | ~ p2(X118,X120)
    | ~ p3(X119,X121) ) ).

cnf(p47_74,negated_conjecture,
    ( p47(X139,X140)
    | ~ p47(f5(c48,f8(f11(f13(c49,X139),X141),X142)),X140) ) ).

cnf(p47_75,negated_conjecture,
    ( p47(X57,X61)
    | ~ p47(f20(f22(f24(f26(c56,X57),X58),X59),X60),X61) ) ).

cnf(p47_76,negated_conjecture,
    ( p47(f5(c48,f8(f11(f13(c49,X139),X141),X142)),X140)
    | ~ p47(X139,X140) ) ).

cnf(p47_77,negated_conjecture,
    p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53) ).

cnf(p3_80,negated_conjecture,
    p3(f16(f18(c54,f8(f11(f13(c49,X57),X58),X59)),X60),f8(f11(f13(c49,f20(f22(f24(f26(c56,X57),X58),X59),X60)),f30(f32(f34(f36(c57,X57),X58),X59),X60)),f40(f42(f44(f46(c58,X57),X58),X59),X60))) ).

cnf(refute_0_0,plain,
    ( ~ p47(c50,c53)
    | p47(f5(c48,f8(f11(f13(c49,c50),X141),X142)),c53) ),
    inference(subst,[],[p47_76:[bind(X139,$fot(c50)),bind(X140,$fot(c53))]]) ).

cnf(refute_0_1,plain,
    ( ~ p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53)
    | p47(c50,c53) ),
    inference(subst,[],[p47_75:[bind(X57,$fot(c50)),bind(X58,$fot(c51)),bind(X59,$fot(c52)),bind(X60,$fot(c55)),bind(X61,$fot(c53))]]) ).

cnf(refute_0_2,plain,
    ( ~ p47(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),c53)
    | p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53) ),
    inference(subst,[],[p47_74:[bind(X139,$fot(f20(f22(f24(f26(c56,c50),c51),c52),c55))),bind(X140,$fot(c53)),bind(X141,$fot(f30(f32(f34(f36(c57,c50),c51),c52),c55))),bind(X142,$fot(f40(f42(f44(f46(c58,c50),c51),c52),c55)))]]) ).

cnf(refute_0_3,plain,
    p15(X_384,X_384),
    inference(subst,[],[p15_5:[bind(X17,$fot(X_384))]]) ).

cnf(refute_0_4,plain,
    ( ~ p15(X_384,X_384)
    | ~ p4(X_386,X_383)
    | ~ p47(X_386,X_384)
    | p47(X_383,X_384) ),
    inference(subst,[],[p47_53:[bind(X143,$fot(X_383)),bind(X144,$fot(X_384)),bind(X145,$fot(X_384)),bind(X146,$fot(X_386))]]) ).

cnf(refute_0_5,plain,
    ( ~ p4(X_386,X_383)
    | ~ p47(X_386,X_384)
    | p47(X_383,X_384) ),
    inference(resolve,[$cnf( p15(X_384,X_384) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),X_387)
    | ~ p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53)
    | p47(X_387,c53) ),
    inference(subst,[],[refute_0_5:[bind(X_383,$fot(X_387)),bind(X_384,$fot(c53)),bind(X_386,$fot(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55))))]]) ).

cnf(refute_0_7,plain,
    ( ~ p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),X_387)
    | p47(X_387,c53) ),
    inference(resolve,[$cnf( p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53) )],[p47_77,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))))
    | p47(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),c53) ),
    inference(subst,[],[refute_0_7:[bind(X_387,$fot(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)))))]]) ).

cnf(refute_0_9,plain,
    p2(X_241,X_241),
    inference(subst,[],[p2_8:[bind(X30,$fot(X_241))]]) ).

cnf(refute_0_10,plain,
    ( ~ p2(X_241,X_241)
    | ~ p3(X_240,X_242)
    | p4(f5(X_241,X_240),f5(X_241,X_242)) ),
    inference(subst,[],[p4_60:[bind(X118,$fot(X_241)),bind(X119,$fot(X_240)),bind(X120,$fot(X_241)),bind(X121,$fot(X_242))]]) ).

cnf(refute_0_11,plain,
    ( ~ p3(X_240,X_242)
    | p4(f5(X_241,X_240),f5(X_241,X_242)) ),
    inference(resolve,[$cnf( p2(X_241,X_241) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ p3(f16(f18(c54,f8(f11(f13(c49,X_379),X_380),X_381)),X_382),f8(f11(f13(c49,f20(f22(f24(f26(c56,X_379),X_380),X_381),X_382)),f30(f32(f34(f36(c57,X_379),X_380),X_381),X_382)),f40(f42(f44(f46(c58,X_379),X_380),X_381),X_382)))
    | p4(f5(X_241,f16(f18(c54,f8(f11(f13(c49,X_379),X_380),X_381)),X_382)),f5(X_241,f8(f11(f13(c49,f20(f22(f24(f26(c56,X_379),X_380),X_381),X_382)),f30(f32(f34(f36(c57,X_379),X_380),X_381),X_382)),f40(f42(f44(f46(c58,X_379),X_380),X_381),X_382)))) ),
    inference(subst,[],[refute_0_11:[bind(X_240,$fot(f16(f18(c54,f8(f11(f13(c49,X_379),X_380),X_381)),X_382))),bind(X_242,$fot(f8(f11(f13(c49,f20(f22(f24(f26(c56,X_379),X_380),X_381),X_382)),f30(f32(f34(f36(c57,X_379),X_380),X_381),X_382)),f40(f42(f44(f46(c58,X_379),X_380),X_381),X_382))))]]) ).

cnf(refute_0_13,plain,
    p3(f16(f18(c54,f8(f11(f13(c49,X_379),X_380),X_381)),X_382),f8(f11(f13(c49,f20(f22(f24(f26(c56,X_379),X_380),X_381),X_382)),f30(f32(f34(f36(c57,X_379),X_380),X_381),X_382)),f40(f42(f44(f46(c58,X_379),X_380),X_381),X_382))),
    inference(subst,[],[p3_80:[bind(X57,$fot(X_379)),bind(X58,$fot(X_380)),bind(X59,$fot(X_381)),bind(X60,$fot(X_382))]]) ).

cnf(refute_0_14,plain,
    p4(f5(X_241,f16(f18(c54,f8(f11(f13(c49,X_379),X_380),X_381)),X_382)),f5(X_241,f8(f11(f13(c49,f20(f22(f24(f26(c56,X_379),X_380),X_381),X_382)),f30(f32(f34(f36(c57,X_379),X_380),X_381),X_382)),f40(f42(f44(f46(c58,X_379),X_380),X_381),X_382)))),
    inference(resolve,[$cnf( p3(f16(f18(c54,f8(f11(f13(c49,X_379),X_380),X_381)),X_382),f8(f11(f13(c49,f20(f22(f24(f26(c56,X_379),X_380),X_381),X_382)),f30(f32(f34(f36(c57,X_379),X_380),X_381),X_382)),f40(f42(f44(f46(c58,X_379),X_380),X_381),X_382))) )],[refute_0_13,refute_0_12]) ).

cnf(refute_0_15,plain,
    p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)))),
    inference(subst,[],[refute_0_14:[bind(X_241,$fot(c48)),bind(X_379,$fot(c50)),bind(X_380,$fot(c51)),bind(X_381,$fot(c52)),bind(X_382,$fot(c55))]]) ).

cnf(refute_0_16,plain,
    p47(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),c53),
    inference(resolve,[$cnf( p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)))) )],[refute_0_15,refute_0_8]) ).

cnf(refute_0_17,plain,
    p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53),
    inference(resolve,[$cnf( p47(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),c53) )],[refute_0_16,refute_0_2]) ).

cnf(refute_0_18,plain,
    p47(c50,c53),
    inference(resolve,[$cnf( p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53) )],[refute_0_17,refute_0_1]) ).

cnf(refute_0_19,plain,
    p47(f5(c48,f8(f11(f13(c49,c50),X141),X142)),c53),
    inference(resolve,[$cnf( p47(c50,c53) )],[refute_0_18,refute_0_0]) ).

cnf(refute_0_20,plain,
    p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
    inference(subst,[],[refute_0_19:[bind(X141,$fot(c51)),bind(X142,$fot(c52))]]) ).

cnf(refute_0_21,plain,
    $false,
    inference(resolve,[$cnf( p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53) )],[refute_0_20,not_p47_51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN703-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n029.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 11:44:32 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.42  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42  
% 0.20/0.42  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.43  
%------------------------------------------------------------------------------