%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN325-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 09:01:18 EDT 2022
% Result : Unsatisfiable 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 5 unt; 3 nHn; 5 RR)
% Number of literals : 15 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 9 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause2,negated_conjecture,
( f(X,X)
| g(X) ) ).
cnf(clause4,negated_conjecture,
( ~ f(y(X),y(X))
| g(X) ) ).
cnf(clause5,negated_conjecture,
~ g(y(X)) ).
cnf(refute_0_0,plain,
( f(y(X_2),y(X_2))
| g(y(X_2)) ),
inference(subst,[],[clause2:[bind(X,$fot(y(X_2)))]]) ).
cnf(refute_0_1,plain,
( ~ f(y(X_2),y(X_2))
| g(X_2) ),
inference(subst,[],[clause4:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_2,plain,
( g(X_2)
| g(y(X_2)) ),
inference(resolve,[$cnf( f(y(X_2),y(X_2)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
~ g(y(X_2)),
inference(subst,[],[clause5:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_4,plain,
g(X_2),
inference(resolve,[$cnf( g(y(X_2)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
g(y(X)),
inference(subst,[],[refute_0_4:[bind(X_2,$fot(y(X)))]]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( g(y(X)) )],[refute_0_5,clause5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN325-1 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n025.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 : Tue Jul 12 04:08:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33
% 0.12/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.33
%------------------------------------------------------------------------------