TSTP Solution File: PUZ037-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ037-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : Mon Jul 18 18:20:52 EDT 2022

% Result   : Unsatisfiable 0.75s 0.96s
% Output   : CNFRefutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-54 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   54 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(make_like_this,negated_conjecture,
    ~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w) ).

cnf(start_with_this,hypothesis,
    state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w) ).

cnf(mxy,axiom,
    ( ~ state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,Y1,Y2,Y3,X1,X2,X3,X4,X5,X6,X7,X8,X9,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7,D8,D9,E1,E2,E3,E4,E5,E6)
    | state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,X1,X2,X3,X4,X5,X6,X7,X8,X9,Y1,Y2,Y3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7,D8,D9,E1,E2,E3,E4,E5,E6) ) ).

cnf(refute_0_0,plain,
    ( ~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,y,y,y,r,r,r,g,g,g,o,o,o,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w)
    | state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w) ),
    inference(subst,[],[mxy:[bind(A1,$fot(b)),bind(A2,$fot(b)),bind(A3,$fot(b)),bind(A4,$fot(b)),bind(A5,$fot(b)),bind(A6,$fot(b)),bind(A7,$fot(b)),bind(A8,$fot(b)),bind(A9,$fot(b)),bind(B1,$fot(r)),bind(B2,$fot(r)),bind(B3,$fot(r)),bind(B4,$fot(g)),bind(B5,$fot(g)),bind(B6,$fot(g)),bind(B7,$fot(o)),bind(B8,$fot(o)),bind(B9,$fot(o)),bind(C1,$fot(y)),bind(C2,$fot(y)),bind(C3,$fot(y)),bind(C4,$fot(r)),bind(C5,$fot(r)),bind(C6,$fot(r)),bind(C7,$fot(g)),bind(C8,$fot(g)),bind(C9,$fot(g)),bind(D1,$fot(o)),bind(D2,$fot(o)),bind(D3,$fot(o)),bind(D4,$fot(y)),bind(D5,$fot(y)),bind(D6,$fot(y)),bind(D7,$fot(w)),bind(D8,$fot(w)),bind(D9,$fot(w)),bind(E1,$fot(w)),bind(E2,$fot(w)),bind(E3,$fot(w)),bind(E4,$fot(w)),bind(E5,$fot(w)),bind(E6,$fot(w)),bind(X1,$fot(r)),bind(X2,$fot(r)),bind(X3,$fot(r)),bind(X4,$fot(g)),bind(X5,$fot(g)),bind(X6,$fot(g)),bind(X7,$fot(o)),bind(X8,$fot(o)),bind(X9,$fot(o)),bind(Y1,$fot(y)),bind(Y2,$fot(y)),bind(Y3,$fot(y))]]) ).

cnf(refute_0_1,plain,
    ( ~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,o,o,o,y,y,y,r,r,r,g,g,g,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w)
    | state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,y,y,y,r,r,r,g,g,g,o,o,o,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w) ),
    inference(subst,[],[mxy:[bind(A1,$fot(b)),bind(A2,$fot(b)),bind(A3,$fot(b)),bind(A4,$fot(b)),bind(A5,$fot(b)),bind(A6,$fot(b)),bind(A7,$fot(b)),bind(A8,$fot(b)),bind(A9,$fot(b)),bind(B1,$fot(r)),bind(B2,$fot(r)),bind(B3,$fot(r)),bind(B4,$fot(g)),bind(B5,$fot(g)),bind(B6,$fot(g)),bind(B7,$fot(o)),bind(B8,$fot(o)),bind(B9,$fot(o)),bind(C1,$fot(y)),bind(C2,$fot(y)),bind(C3,$fot(y)),bind(C4,$fot(r)),bind(C5,$fot(r)),bind(C6,$fot(r)),bind(C7,$fot(g)),bind(C8,$fot(g)),bind(C9,$fot(g)),bind(D1,$fot(o)),bind(D2,$fot(o)),bind(D3,$fot(o)),bind(D4,$fot(y)),bind(D5,$fot(y)),bind(D6,$fot(y)),bind(D7,$fot(w)),bind(D8,$fot(w)),bind(D9,$fot(w)),bind(E1,$fot(w)),bind(E2,$fot(w)),bind(E3,$fot(w)),bind(E4,$fot(w)),bind(E5,$fot(w)),bind(E6,$fot(w)),bind(X1,$fot(y)),bind(X2,$fot(y)),bind(X3,$fot(y)),bind(X4,$fot(r)),bind(X5,$fot(r)),bind(X6,$fot(r)),bind(X7,$fot(g)),bind(X8,$fot(g)),bind(X9,$fot(g)),bind(Y1,$fot(o)),bind(Y2,$fot(o)),bind(Y3,$fot(o))]]) ).

cnf(refute_0_2,plain,
    ( ~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w)
    | state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,o,o,o,y,y,y,r,r,r,g,g,g,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w) ),
    inference(subst,[],[mxy:[bind(A1,$fot(b)),bind(A2,$fot(b)),bind(A3,$fot(b)),bind(A4,$fot(b)),bind(A5,$fot(b)),bind(A6,$fot(b)),bind(A7,$fot(b)),bind(A8,$fot(b)),bind(A9,$fot(b)),bind(B1,$fot(r)),bind(B2,$fot(r)),bind(B3,$fot(r)),bind(B4,$fot(g)),bind(B5,$fot(g)),bind(B6,$fot(g)),bind(B7,$fot(o)),bind(B8,$fot(o)),bind(B9,$fot(o)),bind(C1,$fot(y)),bind(C2,$fot(y)),bind(C3,$fot(y)),bind(C4,$fot(r)),bind(C5,$fot(r)),bind(C6,$fot(r)),bind(C7,$fot(g)),bind(C8,$fot(g)),bind(C9,$fot(g)),bind(D1,$fot(o)),bind(D2,$fot(o)),bind(D3,$fot(o)),bind(D4,$fot(y)),bind(D5,$fot(y)),bind(D6,$fot(y)),bind(D7,$fot(w)),bind(D8,$fot(w)),bind(D9,$fot(w)),bind(E1,$fot(w)),bind(E2,$fot(w)),bind(E3,$fot(w)),bind(E4,$fot(w)),bind(E5,$fot(w)),bind(E6,$fot(w)),bind(X1,$fot(o)),bind(X2,$fot(o)),bind(X3,$fot(o)),bind(X4,$fot(y)),bind(X5,$fot(y)),bind(X6,$fot(y)),bind(X7,$fot(r)),bind(X8,$fot(r)),bind(X9,$fot(r)),bind(Y1,$fot(g)),bind(Y2,$fot(g)),bind(Y3,$fot(g))]]) ).

cnf(refute_0_3,plain,
    state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,o,o,o,y,y,y,r,r,r,g,g,g,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
    inference(resolve,[$cnf( state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w) )],[start_with_this,refute_0_2]) ).

cnf(refute_0_4,plain,
    state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,y,y,y,r,r,r,g,g,g,o,o,o,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
    inference(resolve,[$cnf( state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,o,o,o,y,y,y,r,r,r,g,g,g,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w) )],[refute_0_3,refute_0_1]) ).

cnf(refute_0_5,plain,
    state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
    inference(resolve,[$cnf( state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,y,y,y,r,r,r,g,g,g,o,o,o,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w) )],[refute_0_4,refute_0_0]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w) )],[refute_0_5,make_like_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ037-1 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat May 28 20:04:02 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.75/0.96  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.96  
% 0.75/0.96  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.75/0.96  
%------------------------------------------------------------------------------