TSTP Solution File: SYN709-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN709-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n028.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 09:04:55 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  13 unt;   0 nHn;  19 RR)
%            Number of literals    :   49 (   0 equ;  23 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p29_14,negated_conjecture,
    p29(X72,X72) ).

cnf(p19_21,negated_conjecture,
    p19(X26,X26) ).

cnf(p46_29,negated_conjecture,
    p46(f23(c58,c56),f20(c59,c60)) ).

cnf(p19_59,negated_conjecture,
    p19(f25(f28(c64,X33),f34(c66,X34)),f34(X33,X34)) ).

cnf(p47_60,negated_conjecture,
    ( p47(X142,X143)
    | ~ p30(X145,X142)
    | ~ p47(X145,X144)
    | ~ p19(X144,X143) ) ).

cnf(not_p47_64,negated_conjecture,
    ~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)) ).

cnf(p30_72,negated_conjecture,
    ( p30(f31(X89,X90),f31(X91,X92))
    | ~ p19(X90,X92)
    | ~ p29(X89,X91) ) ).

cnf(p47_81,negated_conjecture,
    ( p47(f31(f33(c62,c63),f34(c66,X148)),X149)
    | ~ p46(f23(c58,X148),f20(c59,X149)) ) ).

cnf(p47_83,negated_conjecture,
    ( p47(f31(f33(c62,c63),f25(f28(c64,c65),X146)),f25(f28(c64,c65),X147))
    | ~ p47(f31(f33(c62,c63),X146),X147) ) ).

cnf(refute_0_0,plain,
    p29(X_254,X_254),
    inference(subst,[],[p29_14:[bind(X72,$fot(X_254))]]) ).

cnf(refute_0_1,plain,
    ( ~ p19(X_253,X_255)
    | ~ p29(X_254,X_254)
    | p30(f31(X_254,X_253),f31(X_254,X_255)) ),
    inference(subst,[],[p30_72:[bind(X89,$fot(X_254)),bind(X90,$fot(X_253)),bind(X91,$fot(X_254)),bind(X92,$fot(X_255))]]) ).

cnf(refute_0_2,plain,
    ( ~ p19(X_253,X_255)
    | p30(f31(X_254,X_253),f31(X_254,X_255)) ),
    inference(resolve,[$cnf( p29(X_254,X_254) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p19(f25(f28(c64,X33),f34(c66,X34)),f34(X33,X34))
    | p30(f31(X_260,f25(f28(c64,X33),f34(c66,X34))),f31(X_260,f34(X33,X34))) ),
    inference(subst,[],[refute_0_2:[bind(X_253,$fot(f25(f28(c64,X33),f34(c66,X34)))),bind(X_254,$fot(X_260)),bind(X_255,$fot(f34(X33,X34)))]]) ).

cnf(refute_0_4,plain,
    p30(f31(X_260,f25(f28(c64,X33),f34(c66,X34))),f31(X_260,f34(X33,X34))),
    inference(resolve,[$cnf( p19(f25(f28(c64,X33),f34(c66,X34)),f34(X33,X34)) )],[p19_59,refute_0_3]) ).

cnf(refute_0_5,plain,
    p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f31(f33(c62,c63),f34(c65,c56))),
    inference(subst,[],[refute_0_4:[bind(X33,$fot(c65)),bind(X34,$fot(c56)),bind(X_260,$fot(f33(c62,c63)))]]) ).

cnf(refute_0_6,plain,
    ( ~ p46(f23(c58,c56),f20(c59,c60))
    | p47(f31(f33(c62,c63),f34(c66,c56)),c60) ),
    inference(subst,[],[p47_81:[bind(X148,$fot(c56)),bind(X149,$fot(c60))]]) ).

cnf(refute_0_7,plain,
    p47(f31(f33(c62,c63),f34(c66,c56)),c60),
    inference(resolve,[$cnf( p46(f23(c58,c56),f20(c59,c60)) )],[p46_29,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ p47(f31(f33(c62,c63),f34(c66,c56)),c60)
    | p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)) ),
    inference(subst,[],[p47_83:[bind(X146,$fot(f34(c66,c56))),bind(X147,$fot(c60))]]) ).

cnf(refute_0_9,plain,
    p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)),
    inference(resolve,[$cnf( p47(f31(f33(c62,c63),f34(c66,c56)),c60) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    p19(X_497,X_497),
    inference(subst,[],[p19_21:[bind(X26,$fot(X_497))]]) ).

cnf(refute_0_11,plain,
    ( ~ p19(X_497,X_497)
    | ~ p30(X_499,X_496)
    | ~ p47(X_499,X_497)
    | p47(X_496,X_497) ),
    inference(subst,[],[p47_60:[bind(X142,$fot(X_496)),bind(X143,$fot(X_497)),bind(X144,$fot(X_497)),bind(X145,$fot(X_499))]]) ).

cnf(refute_0_12,plain,
    ( ~ p30(X_499,X_496)
    | ~ p47(X_499,X_497)
    | p47(X_496,X_497) ),
    inference(resolve,[$cnf( p19(X_497,X_497) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),X_500)
    | ~ p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60))
    | p47(X_500,f25(f28(c64,c65),c60)) ),
    inference(subst,[],[refute_0_12:[bind(X_496,$fot(X_500)),bind(X_497,$fot(f25(f28(c64,c65),c60))),bind(X_499,$fot(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56)))))]]) ).

cnf(refute_0_14,plain,
    ( ~ p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),X_500)
    | p47(X_500,f25(f28(c64,c65),c60)) ),
    inference(resolve,[$cnf( p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)) )],[refute_0_9,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f31(f33(c62,c63),f34(c65,c56)))
    | p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)) ),
    inference(subst,[],[refute_0_14:[bind(X_500,$fot(f31(f33(c62,c63),f34(c65,c56))))]]) ).

cnf(refute_0_16,plain,
    p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
    inference(resolve,[$cnf( p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f31(f33(c62,c63),f34(c65,c56))) )],[refute_0_5,refute_0_15]) ).

cnf(refute_0_17,plain,
    $false,
    inference(resolve,[$cnf( p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)) )],[refute_0_16,not_p47_64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN709-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n028.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 16:47:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  
% 0.19/0.51  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.51  
%------------------------------------------------------------------------------