TSTP Solution File: SYN350-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN350-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 09:01:38 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 5 unt; 2 nHn; 11 RR)
% Number of literals : 22 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ f(a,z(X,Y))
| f(z(X,Y),a) ) ).
cnf(clause3,negated_conjecture,
( f(a,z(X,Y))
| f(Y,z(X,Y))
| f(X,z(X,Y)) ) ).
cnf(clause5,negated_conjecture,
( f(a,z(X,Y))
| f(Y,z(X,Y))
| ~ f(X,Y) ) ).
cnf(clause6,negated_conjecture,
( ~ f(a,z(X,Y))
| ~ f(Y,z(X,Y))
| ~ f(X,Y) ) ).
cnf(refute_0_0,plain,
( ~ f(a,z(z(a,a),a))
| ~ f(z(a,a),a) ),
inference(subst,[],[clause6:[bind(X,$fot(z(a,a))),bind(Y,$fot(a))]]) ).
cnf(refute_0_1,plain,
f(a,z(a,a)),
inference(subst,[],[clause3:[bind(X,$fot(a)),bind(Y,$fot(a))]]) ).
cnf(refute_0_2,plain,
( ~ f(a,z(a,a))
| f(z(a,a),a) ),
inference(subst,[],[clause1:[bind(X,$fot(a)),bind(Y,$fot(a))]]) ).
cnf(refute_0_3,plain,
f(z(a,a),a),
inference(resolve,[$cnf( f(a,z(a,a)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ f(z(a,a),a)
| f(a,z(z(a,a),a)) ),
inference(subst,[],[clause5:[bind(X,$fot(z(a,a))),bind(Y,$fot(a))]]) ).
cnf(refute_0_5,plain,
f(a,z(z(a,a),a)),
inference(resolve,[$cnf( f(z(a,a),a) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
~ f(z(a,a),a),
inference(resolve,[$cnf( f(a,z(z(a,a),a)) )],[refute_0_5,refute_0_0]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( f(z(a,a),a) )],[refute_0_3,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN350-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n026.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 : Tue Jul 12 01:59:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------