%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN009-3 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 9 unt; 5 nHn; 22 RR)
% Number of literals : 43 ( 0 equ; 23 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 21 ( 3 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(X,Y,Z) ) ).
cnf(clause_3,negated_conjecture,
( ~ r(X,Y,Z)
| ~ t(X,Y,Z) ) ).
cnf(clause_6,negated_conjecture,
s(c) ).
cnf(clause_7,negated_conjecture,
~ v(X,Y,Z) ).
cnf(clause_8,negated_conjecture,
u(c,c,c) ).
cnf(clause_9,negated_conjecture,
( ~ s(X)
| ~ s(Y)
| ~ s(Z)
| p(X,Y,Z)
| q(X,Y,Z)
| r(X,Y,Z) ) ).
cnf(clause_10,negated_conjecture,
( ~ u(X,Y,Z)
| t(X,Y,Z)
| v(X,Y,Z) ) ).
cnf(refute_0_0,plain,
( ~ s(c)
| p(c,c,c)
| q(c,c,c)
| r(c,c,c) ),
inference(subst,[],[clause_9:[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,$fot(c))]]) ).
cnf(refute_0_3,plain,
( ~ u(X,Y,Z)
| t(X,Y,Z) ),
inference(resolve,[$cnf( v(X,Y,Z) )],[clause_10,clause_7]) ).
cnf(refute_0_4,plain,
( ~ u(c,c,c)
| t(c,c,c) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).
cnf(refute_0_5,plain,
t(c,c,c),
inference(resolve,[$cnf( u(c,c,c) )],[clause_8,refute_0_4]) ).
cnf(refute_0_6,plain,
~ p(c,c,c),
inference(resolve,[$cnf( t(c,c,c) )],[refute_0_5,refute_0_2]) ).
cnf(refute_0_7,plain,
( q(c,c,c)
| r(c,c,c) ),
inference(resolve,[$cnf( p(c,c,c) )],[refute_0_1,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ q(c,c,c)
| ~ t(c,c,c) ),
inference(subst,[],[clause_2:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).
cnf(refute_0_9,plain,
~ q(c,c,c),
inference(resolve,[$cnf( t(c,c,c) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
r(c,c,c),
inference(resolve,[$cnf( q(c,c,c) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ r(c,c,c)
| ~ t(c,c,c) ),
inference(subst,[],[clause_3:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(c))]]) ).
cnf(refute_0_12,plain,
~ r(c,c,c),
inference(resolve,[$cnf( t(c,c,c) )],[refute_0_5,refute_0_11]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( r(c,c,c) )],[refute_0_10,refute_0_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN009-3 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 20:27:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------