%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN073-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 08:59:18 EDT 2022
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of clauses : 8 ( 6 unt; 2 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 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 : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( big_f(a,X)
| big_f(X,Y) ) ).
cnf(prove_this,negated_conjecture,
~ big_f(X,f(X)) ).
cnf(refute_0_0,plain,
~ big_f(a,f(a)),
inference(subst,[],[prove_this:[bind(X,$fot(a))]]) ).
cnf(refute_0_1,plain,
~ big_f(X_1,f(X_1)),
inference(subst,[],[prove_this:[bind(X,$fot(X_1))]]) ).
cnf(refute_0_2,plain,
( big_f(X_1,f(X_1))
| big_f(a,X_1) ),
inference(subst,[],[clause_1:[bind(X,$fot(X_1)),bind(Y,$fot(f(X_1)))]]) ).
cnf(refute_0_3,plain,
big_f(a,X_1),
inference(resolve,[$cnf( big_f(X_1,f(X_1)) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
big_f(a,f(a)),
inference(subst,[],[refute_0_3:[bind(X_1,$fot(f(a)))]]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( big_f(a,f(a)) )],[refute_0_4,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN073-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n015.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 03:30:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34
%------------------------------------------------------------------------------