%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV011+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 : Wed Jul 20 20:29:49 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 4 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 2 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
b_holds(key(generate_key(an_a_nonce),a)) ).
fof(ax3,axiom,
a_holds(key(generate_key(an_a_nonce),b)) ).
fof(co1,conjecture,
? [U] :
( a_holds(key(U,b))
& b_holds(key(U,a)) ) ).
fof(subgoal_0,plain,
? [U] :
( a_holds(key(U,b))
& b_holds(key(U,a)) ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ? [U] :
( a_holds(key(U,b))
& b_holds(key(U,a)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_1,plain,
! [U] :
( ~ a_holds(key(U,b))
| ~ b_holds(key(U,a)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_2,plain,
! [U] :
( ~ a_holds(key(U,b))
| ~ b_holds(key(U,a)) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(canonicalize,[],[ax3]) ).
cnf(refute_0_0,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ a_holds(key(U,b))
| ~ b_holds(key(U,a)) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
( ~ a_holds(key(generate_key(an_a_nonce),b))
| ~ b_holds(key(generate_key(an_a_nonce),a)) ),
inference(subst,[],[refute_0_1:[bind(U,$fot(generate_key(an_a_nonce)))]]) ).
cnf(refute_0_3,plain,
~ a_holds(key(generate_key(an_a_nonce),b)),
inference(resolve,[$cnf( b_holds(key(generate_key(an_a_nonce),a)) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( a_holds(key(generate_key(an_a_nonce),b)) )],[refute_0_4,refute_0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV011+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n018.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 : Wed Jun 15 07:25:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36
%------------------------------------------------------------------------------