TSTP Solution File: SYN333-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN333-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 09:01:24 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 7 RR)
% Number of literals : 22 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 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; 2-2 aty)
% Number of variables : 24 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
f(X,Y) ).
cnf(clause2,negated_conjecture,
( ~ f(Y,z(X,Y))
| ~ f(z(X,Y),z(X,Y))
| g(X,Y) ) ).
cnf(clause3,negated_conjecture,
( ~ f(Y,z(X,Y))
| ~ f(z(X,Y),z(X,Y))
| ~ g(X,z(X,Y))
| ~ g(z(X,Y),z(X,Y)) ) ).
cnf(refute_0_0,plain,
f(Y,z(X,Y)),
inference(subst,[],[clause1:[bind(X,$fot(Y)),bind(Y,$fot(z(X,Y)))]]) ).
cnf(refute_0_1,plain,
( ~ f(z(X,Y),z(X,Y))
| ~ g(X,z(X,Y))
| ~ g(z(X,Y),z(X,Y)) ),
inference(resolve,[$cnf( f(Y,z(X,Y)) )],[refute_0_0,clause3]) ).
cnf(refute_0_2,plain,
f(z(X,Y),z(X,Y)),
inference(subst,[],[clause1:[bind(X,$fot(z(X,Y))),bind(Y,$fot(z(X,Y)))]]) ).
cnf(refute_0_3,plain,
( ~ g(X,z(X,Y))
| ~ g(z(X,Y),z(X,Y)) ),
inference(resolve,[$cnf( f(z(X,Y),z(X,Y)) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( ~ f(z(X,Y),z(X,Y))
| g(X,Y) ),
inference(resolve,[$cnf( f(Y,z(X,Y)) )],[refute_0_0,clause2]) ).
cnf(refute_0_5,plain,
g(X,Y),
inference(resolve,[$cnf( f(z(X,Y),z(X,Y)) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
g(X,z(X,Y)),
inference(subst,[],[refute_0_5:[bind(Y,$fot(z(X,Y)))]]) ).
cnf(refute_0_7,plain,
~ g(z(X,Y),z(X,Y)),
inference(resolve,[$cnf( g(X,z(X,Y)) )],[refute_0_6,refute_0_3]) ).
cnf(refute_0_8,plain,
g(z(X,Y),z(X,Y)),
inference(subst,[],[refute_0_5:[bind(X,$fot(z(X,Y))),bind(Y,$fot(z(X,Y)))]]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( g(z(X,Y),z(X,Y)) )],[refute_0_8,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN333-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n016.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 05:10:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------