%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO611-1 : TPTP v8.1.0. Released v7.1.0.
% 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 18:40:26 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 : 10 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_01,axiom,
le(A,A) ).
cnf(sos_04,axiom,
eq(f(A),a0) ).
cnf(sos_05,axiom,
( ~ eq(f(A0),a0)
| ~ eq(f(A1),a0)
| ~ le(s(A0),A1) ) ).
cnf(refute_0_0,plain,
le(s(X_2),s(X_2)),
inference(subst,[],[sos_01:[bind(A,$fot(s(X_2)))]]) ).
cnf(refute_0_1,plain,
eq(f(A0),a0),
inference(subst,[],[sos_04:[bind(A,$fot(A0))]]) ).
cnf(refute_0_2,plain,
( ~ eq(f(A1),a0)
| ~ le(s(A0),A1) ),
inference(resolve,[$cnf( eq(f(A0),a0) )],[refute_0_1,sos_05]) ).
cnf(refute_0_3,plain,
eq(f(A1),a0),
inference(subst,[],[sos_04:[bind(A,$fot(A1))]]) ).
cnf(refute_0_4,plain,
~ le(s(A0),A1),
inference(resolve,[$cnf( eq(f(A1),a0) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
~ le(s(X_2),s(X_2)),
inference(subst,[],[refute_0_4:[bind(A0,$fot(X_2)),bind(A1,$fot(s(X_2)))]]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( le(s(X_2),s(X_2)) )],[refute_0_0,refute_0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO611-1 : TPTP v8.1.0. Released v7.1.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n014.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 : Sat Jul 9 06:27:51 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
%------------------------------------------------------------------------------