TSTP Solution File: SYN315-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN315-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 09:01:10 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 5 unt; 2 nHn; 6 RR)
% Number of literals : 17 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ f(X)
| p(a) ) ).
cnf(clause2,negated_conjecture,
( ~ p(a)
| f(X) ) ).
cnf(clause3,negated_conjecture,
( ~ f(y(X))
| ~ p(a) ) ).
cnf(clause4,negated_conjecture,
( p(a)
| f(y(X)) ) ).
cnf(refute_0_0,plain,
( ~ f(y(X_3))
| p(a) ),
inference(subst,[],[clause1:[bind(X,$fot(y(X_3)))]]) ).
cnf(refute_0_1,plain,
( f(y(X_3))
| p(a) ),
inference(subst,[],[clause4:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_2,plain,
p(a),
inference(resolve,[$cnf( f(y(X_3)) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
f(X),
inference(resolve,[$cnf( p(a) )],[refute_0_2,clause2]) ).
cnf(refute_0_4,plain,
f(y(X)),
inference(subst,[],[refute_0_3:[bind(X,$fot(y(X)))]]) ).
cnf(refute_0_5,plain,
~ p(a),
inference(resolve,[$cnf( f(y(X)) )],[refute_0_4,clause3]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( p(a) )],[refute_0_2,refute_0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN315-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n024.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 04:29:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------