TSTP Solution File: SYN672-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN672-1 : 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 09:04:42 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   29 (  14 unt;   3 nHn;  21 RR)
%            Number of literals    :   54 (   0 equ;  24 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(p8_3,negated_conjecture,
    p8(X98,X98) ).

cnf(p3_6,negated_conjecture,
    p3(X62,X62) ).

cnf(not_p3_18,negated_conjecture,
    ~ p3(c40,f14(c38,c39)) ).

cnf(p31_19,negated_conjecture,
    p31(f20(c36,c39),f17(c37,c40)) ).

cnf(p3_37,negated_conjecture,
    p3(f4(f7(c34,X77),f14(c38,X78)),f14(X77,X78)) ).

cnf(p30_39,negated_conjecture,
    ( p30(X82,X83)
    | ~ p30(X85,X84)
    | ~ p9(X85,X82)
    | ~ p3(X84,X83) ) ).

cnf(not_p30_40,negated_conjecture,
    ~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)) ).

cnf(p9_42,negated_conjecture,
    ( p9(f10(X108,X109),f10(X110,X111))
    | ~ p3(X109,X111)
    | ~ p8(X108,X110) ) ).

cnf(p3_53,negated_conjecture,
    ( p3(X60,f14(c38,X61))
    | p30(f10(f12(c32,c33),f14(c38,X61)),X60)
    | ~ p31(f20(c36,X61),f17(c37,X60)) ) ).

cnf(p30_54,negated_conjecture,
    ( p30(f10(f12(c32,c33),f4(f7(c34,c35),X86)),f4(f7(c34,c35),X87))
    | ~ p30(f10(f12(c32,c33),X86),X87) ) ).

cnf(refute_0_0,plain,
    p8(X_152,X_152),
    inference(subst,[],[p8_3:[bind(X98,$fot(X_152))]]) ).

cnf(refute_0_1,plain,
    ( ~ p3(X_151,X_153)
    | ~ p8(X_152,X_152)
    | p9(f10(X_152,X_151),f10(X_152,X_153)) ),
    inference(subst,[],[p9_42:[bind(X108,$fot(X_152)),bind(X109,$fot(X_151)),bind(X110,$fot(X_152)),bind(X111,$fot(X_153))]]) ).

cnf(refute_0_2,plain,
    ( ~ p3(X_151,X_153)
    | p9(f10(X_152,X_151),f10(X_152,X_153)) ),
    inference(resolve,[$cnf( p8(X_152,X_152) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p3(f4(f7(c34,X77),f14(c38,X78)),f14(X77,X78))
    | p9(f10(X_158,f4(f7(c34,X77),f14(c38,X78))),f10(X_158,f14(X77,X78))) ),
    inference(subst,[],[refute_0_2:[bind(X_151,$fot(f4(f7(c34,X77),f14(c38,X78)))),bind(X_152,$fot(X_158)),bind(X_153,$fot(f14(X77,X78)))]]) ).

cnf(refute_0_4,plain,
    p9(f10(X_158,f4(f7(c34,X77),f14(c38,X78))),f10(X_158,f14(X77,X78))),
    inference(resolve,[$cnf( p3(f4(f7(c34,X77),f14(c38,X78)),f14(X77,X78)) )],[p3_37,refute_0_3]) ).

cnf(refute_0_5,plain,
    p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f10(f12(c32,c33),f14(c35,c39))),
    inference(subst,[],[refute_0_4:[bind(X77,$fot(c35)),bind(X78,$fot(c39)),bind(X_158,$fot(f12(c32,c33)))]]) ).

cnf(refute_0_6,plain,
    ( ~ p30(f10(f12(c32,c33),f14(c38,c39)),c40)
    | p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)) ),
    inference(subst,[],[p30_54:[bind(X86,$fot(f14(c38,c39))),bind(X87,$fot(c40))]]) ).

cnf(refute_0_7,plain,
    ( ~ p31(f20(c36,c39),f17(c37,c40))
    | p3(c40,f14(c38,c39))
    | p30(f10(f12(c32,c33),f14(c38,c39)),c40) ),
    inference(subst,[],[p3_53:[bind(X60,$fot(c40)),bind(X61,$fot(c39))]]) ).

cnf(refute_0_8,plain,
    ( p3(c40,f14(c38,c39))
    | p30(f10(f12(c32,c33),f14(c38,c39)),c40) ),
    inference(resolve,[$cnf( p31(f20(c36,c39),f17(c37,c40)) )],[p31_19,refute_0_7]) ).

cnf(refute_0_9,plain,
    p30(f10(f12(c32,c33),f14(c38,c39)),c40),
    inference(resolve,[$cnf( p3(c40,f14(c38,c39)) )],[refute_0_8,not_p3_18]) ).

cnf(refute_0_10,plain,
    p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)),
    inference(resolve,[$cnf( p30(f10(f12(c32,c33),f14(c38,c39)),c40) )],[refute_0_9,refute_0_6]) ).

cnf(refute_0_11,plain,
    p3(X_389,X_389),
    inference(subst,[],[p3_6:[bind(X62,$fot(X_389))]]) ).

cnf(refute_0_12,plain,
    ( ~ p3(X_389,X_389)
    | ~ p30(X_391,X_389)
    | ~ p9(X_391,X_388)
    | p30(X_388,X_389) ),
    inference(subst,[],[p30_39:[bind(X82,$fot(X_388)),bind(X83,$fot(X_389)),bind(X84,$fot(X_389)),bind(X85,$fot(X_391))]]) ).

cnf(refute_0_13,plain,
    ( ~ p30(X_391,X_389)
    | ~ p9(X_391,X_388)
    | p30(X_388,X_389) ),
    inference(resolve,[$cnf( p3(X_389,X_389) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40))
    | ~ p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),X_392)
    | p30(X_392,f4(f7(c34,c35),c40)) ),
    inference(subst,[],[refute_0_13:[bind(X_388,$fot(X_392)),bind(X_389,$fot(f4(f7(c34,c35),c40))),bind(X_391,$fot(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39)))))]]) ).

cnf(refute_0_15,plain,
    ( ~ p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),X_392)
    | p30(X_392,f4(f7(c34,c35),c40)) ),
    inference(resolve,[$cnf( p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)) )],[refute_0_10,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ~ p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f10(f12(c32,c33),f14(c35,c39)))
    | p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)) ),
    inference(subst,[],[refute_0_15:[bind(X_392,$fot(f10(f12(c32,c33),f14(c35,c39))))]]) ).

cnf(refute_0_17,plain,
    p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
    inference(resolve,[$cnf( p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f10(f12(c32,c33),f14(c35,c39))) )],[refute_0_5,refute_0_16]) ).

cnf(refute_0_18,plain,
    $false,
    inference(resolve,[$cnf( p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)) )],[refute_0_17,not_p30_40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN672-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12  % 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 : Tue Jul 12 00:28:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  
% 0.19/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.50  
%------------------------------------------------------------------------------