TSTP Solution File: SYN341-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN341-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.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 09:01:31 EDT 2022

% Result   : Unsatisfiable 0.12s 0.33s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   3 RR)
%            Number of literals    :    5 (   0 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-2 aty)
%            Number of variables   :    6 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    f(Y1,y2(Y1),Y3) ).

cnf(clause2,negated_conjecture,
    ~ f(y2(Y1),Y3,y4(Y1,Y3)) ).

cnf(refute_0_0,plain,
    f(y2(X_2),y2(y2(X_2)),y4(X_2,y2(y2(X_2)))),
    inference(subst,[],[clause1:[bind(Y1,$fot(y2(X_2))),bind(Y3,$fot(y4(X_2,y2(y2(X_2)))))]]) ).

cnf(refute_0_1,plain,
    ~ f(y2(X_2),y2(y2(X_2)),y4(X_2,y2(y2(X_2)))),
    inference(subst,[],[clause2:[bind(Y1,$fot(X_2)),bind(Y3,$fot(y2(y2(X_2))))]]) ).

cnf(refute_0_2,plain,
    $false,
    inference(resolve,[$cnf( f(y2(X_2),y2(y2(X_2)),y4(X_2,y2(y2(X_2)))) )],[refute_0_0,refute_0_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN341-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n024.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 13:38:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.33  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  
% 0.12/0.33  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.33  
%------------------------------------------------------------------------------