%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN009-4 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 08:58:23 EDT 2022
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 6 unt; 8 nHn; 21 RR)
% Number of literals : 48 ( 0 equ; 24 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ p(X,Y,Z)
| ~ m(X,Y,Z) ) ).
cnf(clause_2,negated_conjecture,
( ~ q(X,Y,Z)
| ~ m(X,Y,Z) ) ).
cnf(clause_3,negated_conjecture,
( ~ r(X,Y,Z)
| ~ m(X,Y,Z) ) ).
cnf(clause_6,negated_conjecture,
s(c) ).
cnf(clause_7,negated_conjecture,
~ n(c,c,c) ).
cnf(clause_8,negated_conjecture,
( ~ s(X)
| ~ s(Y)
| ~ s(Z)
| p(X,Y,Z)
| q(X,Y,Z)
| r(X,Y,Z) ) ).
cnf(clause_9,negated_conjecture,
( ~ s(X)
| ~ s(Y)
| ~ s(Z)
| m(X,Y,Z)
| n(X,Y,Z) ) ).
cnf(refute_0_0,plain,
( ~ m(c,c,c)
| ~ p(c,c,c) ),
inference(subst,[],[clause_1:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).
cnf(refute_0_1,plain,
( ~ m(c,c,c)
| ~ q(c,c,c) ),
inference(subst,[],[clause_2:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).
cnf(refute_0_2,plain,
( ~ m(c,c,c)
| ~ r(c,c,c) ),
inference(subst,[],[clause_3:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).
cnf(refute_0_3,plain,
( ~ s(c)
| p(c,c,c)
| q(c,c,c)
| r(c,c,c) ),
inference(subst,[],[clause_8:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).
cnf(refute_0_4,plain,
( p(c,c,c)
| q(c,c,c)
| r(c,c,c) ),
inference(resolve,[$cnf( s(c) )],[clause_6,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ m(c,c,c)
| p(c,c,c)
| q(c,c,c) ),
inference(resolve,[$cnf( r(c,c,c) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
( ~ s(c)
| m(c,c,c)
| n(c,c,c) ),
inference(subst,[],[clause_9:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).
cnf(refute_0_7,plain,
( m(c,c,c)
| n(c,c,c) ),
inference(resolve,[$cnf( s(c) )],[clause_6,refute_0_6]) ).
cnf(refute_0_8,plain,
m(c,c,c),
inference(resolve,[$cnf( n(c,c,c) )],[refute_0_7,clause_7]) ).
cnf(refute_0_9,plain,
( p(c,c,c)
| q(c,c,c) ),
inference(resolve,[$cnf( m(c,c,c) )],[refute_0_8,refute_0_5]) ).
cnf(refute_0_10,plain,
( ~ m(c,c,c)
| p(c,c,c) ),
inference(resolve,[$cnf( q(c,c,c) )],[refute_0_9,refute_0_1]) ).
cnf(refute_0_11,plain,
p(c,c,c),
inference(resolve,[$cnf( m(c,c,c) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
~ m(c,c,c),
inference(resolve,[$cnf( p(c,c,c) )],[refute_0_11,refute_0_0]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( m(c,c,c) )],[refute_0_8,refute_0_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN009-4 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 12 08:42:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36
% 0.14/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.36
%------------------------------------------------------------------------------