TSTP Solution File: SYN327-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN327-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 09:01:19 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 4 unt; 2 nHn; 10 RR)
% Number of literals : 20 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( f(Y,a)
| f(a,Y) ) ).
cnf(clause4,negated_conjecture,
( f(a,z(Y))
| ~ f(Y,a)
| ~ f(z(Y),Y) ) ).
cnf(clause5,negated_conjecture,
( ~ f(a,Y)
| ~ f(a,z(Y)) ) ).
cnf(refute_0_0,plain,
( ~ f(a,a)
| ~ f(a,z(a)) ),
inference(subst,[],[clause5:[bind(Y,$fot(a))]]) ).
cnf(refute_0_1,plain,
( f(a,z(a))
| f(z(a),a) ),
inference(subst,[],[clause1:[bind(Y,$fot(z(a)))]]) ).
cnf(refute_0_2,plain,
( ~ f(a,a)
| ~ f(z(a),a)
| f(a,z(a)) ),
inference(subst,[],[clause4:[bind(Y,$fot(a))]]) ).
cnf(refute_0_3,plain,
( ~ f(a,a)
| f(a,z(a)) ),
inference(resolve,[$cnf( f(z(a),a) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
f(a,a),
inference(subst,[],[clause1:[bind(Y,$fot(a))]]) ).
cnf(refute_0_5,plain,
f(a,z(a)),
inference(resolve,[$cnf( f(a,a) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
~ f(a,a),
inference(resolve,[$cnf( f(a,z(a)) )],[refute_0_5,refute_0_0]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( f(a,a) )],[refute_0_4,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN327-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n014.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 : Tue Jul 12 05:46:49 EDT 2022
% 0.12/0.34 % 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
% 0.12/0.35
%------------------------------------------------------------------------------