%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN009-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n003.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 08:58:22 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   7 unt;   4 nHn;  17 RR)
%            Number of literals    :   34 (   0 equ;  19 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( ~ p(X,Y,Z)
    | ~ t(X,Y,Z) ) ).

cnf(clause_2,negated_conjecture,
    ( ~ q(X,Y,Z)
    | ~ t(Y,Z,X) ) ).

cnf(clause_3,negated_conjecture,
    ( ~ r(X,Y,Z)
    | ~ t(Z,X,Y) ) ).

cnf(clause_6,negated_conjecture,
    s(c) ).

cnf(clause_7,negated_conjecture,
    t(c,c,c) ).

cnf(clause_8,negated_conjecture,
    ( ~ s(X)
    | ~ s(Y)
    | ~ s(Z)
    | p(X,Y,Z)
    | q(Y,Z,X)
    | r(Z,X,Y) ) ).

cnf(refute_0_0,plain,
    ( ~ s(c)
    | p(c,c,c)
    | q(c,c,c)
    | r(c,c,c) ),
    inference(subst,[],[clause_8:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).

cnf(refute_0_1,plain,
    ( p(c,c,c)
    | q(c,c,c)
    | r(c,c,c) ),
    inference(resolve,[$cnf( s(c) )],[clause_6,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ p(c,c,c)
    | ~ t(c,c,c) ),
    inference(subst,[],[clause_1:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).

cnf(refute_0_3,plain,
    ~ p(c,c,c),
    inference(resolve,[$cnf( t(c,c,c) )],[clause_7,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( q(c,c,c)
    | r(c,c,c) ),
    inference(resolve,[$cnf( p(c,c,c) )],[refute_0_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ q(c,c,c)
    | ~ t(c,c,c) ),
    inference(subst,[],[clause_2:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).

cnf(refute_0_6,plain,
    ~ q(c,c,c),
    inference(resolve,[$cnf( t(c,c,c) )],[clause_7,refute_0_5]) ).

cnf(refute_0_7,plain,
    r(c,c,c),
    inference(resolve,[$cnf( q(c,c,c) )],[refute_0_4,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ r(c,c,c)
    | ~ t(c,c,c) ),
    inference(subst,[],[clause_3:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).

cnf(refute_0_9,plain,
    ~ r(c,c,c),
    inference(resolve,[$cnf( t(c,c,c) )],[clause_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( r(c,c,c) )],[refute_0_7,refute_0_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN009-2 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 23:03:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------