TSTP Solution File: SYN656-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN656-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.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 09:04:36 EDT 2022

% Result   : Unsatisfiable 0.60s 0.78s
% Output   : CNFRefutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   30 (  11 unt;   3 nHn;  22 RR)
%            Number of literals    :   59 (   0 equ;  27 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_5,negated_conjecture,
    p4(X75,X75) ).

cnf(p3_6,negated_conjecture,
    p3(X64,X64) ).

cnf(p3_22,negated_conjecture,
    ( p3(X65,X66)
    | ~ p3(X64,X65)
    | ~ p3(X64,X66) ) ).

cnf(p25_31,negated_conjecture,
    p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)) ).

cnf(p25_32,negated_conjecture,
    ( p25(f5(f7(c28,X55),X56),X57)
    | ~ p25(f5(X55,X56),X57) ) ).

cnf(p25_35,negated_conjecture,
    ( p25(X51,X52)
    | ~ p3(X54,X52)
    | ~ p4(X53,X51)
    | ~ p25(X53,X54) ) ).

cnf(not_p25_45,negated_conjecture,
    ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)) ).

cnf(p25_46,negated_conjecture,
    ( p25(f5(f7(c28,X55),X56),X57)
    | ~ p25(f5(X55,X56),X62)
    | ~ p25(f5(f7(c28,X55),X62),X57) ) ).

cnf(p3_49,negated_conjecture,
    ( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63)))
    | p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34)) ) ).

cnf(refute_0_0,plain,
    ( ~ p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58))
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,X58))),f13(c31,X58)) ),
    inference(subst,[],[p25_32:[bind(X55,$fot(c29)),bind(X56,$fot(f13(c31,f15(c32,X58)))),bind(X57,$fot(f13(c31,X58)))]]) ).

cnf(refute_0_1,plain,
    p25(f5(f7(c28,c29),f13(c31,f15(c32,X58))),f13(c31,X58)),
    inference(resolve,[$cnf( p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)) )],[p25_31,refute_0_0]) ).

cnf(refute_0_2,plain,
    p4(X_279,X_279),
    inference(subst,[],[p4_5:[bind(X75,$fot(X_279))]]) ).

cnf(refute_0_3,plain,
    ( ~ p25(X_279,X_282)
    | ~ p3(X_282,X_280)
    | ~ p4(X_279,X_279)
    | p25(X_279,X_280) ),
    inference(subst,[],[p25_35:[bind(X51,$fot(X_279)),bind(X52,$fot(X_280)),bind(X53,$fot(X_279)),bind(X54,$fot(X_282))]]) ).

cnf(refute_0_4,plain,
    ( ~ p25(X_279,X_282)
    | ~ p3(X_282,X_280)
    | p25(X_279,X_280) ),
    inference(resolve,[$cnf( p4(X_279,X_279) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,X58))),f13(c31,X58))
    | ~ p3(f13(c31,X58),X_284)
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,X58))),X_284) ),
    inference(subst,[],[refute_0_4:[bind(X_279,$fot(f5(f7(c28,c29),f13(c31,f15(c32,X58))))),bind(X_280,$fot(X_284)),bind(X_282,$fot(f13(c31,X58)))]]) ).

cnf(refute_0_6,plain,
    ( ~ p3(f13(c31,X58),X_284)
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,X58))),X_284) ),
    inference(resolve,[$cnf( p25(f5(f7(c28,c29),f13(c31,f15(c32,X58))),f13(c31,X58)) )],[refute_0_1,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34))
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)) ),
    inference(subst,[],[refute_0_6:[bind(X58,$fot(f15(f17(c33,c34),c35))),bind(X_284,$fot(f13(c31,c34)))]]) ).

cnf(refute_0_8,plain,
    p3(X_79,X_79),
    inference(subst,[],[p3_6:[bind(X64,$fot(X_79))]]) ).

cnf(refute_0_9,plain,
    ( ~ p3(X_79,X_78)
    | ~ p3(X_79,X_79)
    | p3(X_78,X_79) ),
    inference(subst,[],[p3_22:[bind(X64,$fot(X_79)),bind(X65,$fot(X_78)),bind(X66,$fot(X_79))]]) ).

cnf(refute_0_10,plain,
    ( ~ p3(X_79,X_78)
    | p3(X_78,X_79) ),
    inference(resolve,[$cnf( p3(X_79,X_79) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35)))
    | p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)) ),
    inference(subst,[],[refute_0_10:[bind(X_78,$fot(f13(c31,f15(f17(c33,c34),c35)))),bind(X_79,$fot(f13(c31,c34)))]]) ).

cnf(refute_0_12,plain,
    ( ~ p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58))
    | ~ p25(f5(f7(c28,c29),f13(c31,X58)),X_304)
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,X58))),X_304) ),
    inference(subst,[],[p25_46:[bind(X55,$fot(c29)),bind(X56,$fot(f13(c31,f15(c32,X58)))),bind(X57,$fot(X_304)),bind(X62,$fot(f13(c31,X58)))]]) ).

cnf(refute_0_13,plain,
    ( ~ p25(f5(f7(c28,c29),f13(c31,X58)),X_304)
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,X58))),X_304) ),
    inference(resolve,[$cnf( p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)) )],[p25_31,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34))
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X63)))),f13(c31,c34)) ),
    inference(subst,[],[refute_0_13:[bind(X58,$fot(f15(f17(c33,c34),X63))),bind(X_304,$fot(f13(c31,c34)))]]) ).

cnf(refute_0_15,plain,
    ( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X63)))),f13(c31,c34))
    | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63))) ),
    inference(resolve,[$cnf( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34)) )],[p3_49,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34))
    | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))) ),
    inference(subst,[],[refute_0_15:[bind(X63,$fot(c35))]]) ).

cnf(refute_0_17,plain,
    p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
    inference(resolve,[$cnf( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)) )],[refute_0_16,not_p25_45]) ).

cnf(refute_0_18,plain,
    p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
    inference(resolve,[$cnf( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))) )],[refute_0_17,refute_0_11]) ).

cnf(refute_0_19,plain,
    p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    inference(resolve,[$cnf( p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)) )],[refute_0_18,refute_0_7]) ).

cnf(refute_0_20,plain,
    $false,
    inference(resolve,[$cnf( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)) )],[refute_0_19,not_p25_45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN656-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n011.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 14:06:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.60/0.78  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.78  
% 0.60/0.78  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.60/0.79  
%------------------------------------------------------------------------------