%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV011+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 : 300s
% DateTime : Fri Jul 25 04:45:55 PM UTC 2025
% Result : Theorem 0.16s 0.32s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 2 |; 2 &)
% ( 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 : 3 ( 0 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
? [U] :
( a_holds(key(U,b))
& b_holds(key(U,a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ? [U] :
( a_holds(key(U,b))
& b_holds(key(U,a)) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(16,plain,
( ~ a_holds(key(X0,b))
| ~ b_holds(key(X0,a)) ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( ~ a_holds(key(generate_key(an_a_nonce),b))
| ~ b_holds(key(generate_key(an_a_nonce),a)) ),
inference(instantiation,[status(thm)],[16]) ).
fof(ax3,plain,
a_holds(key(generate_key(an_a_nonce),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(12,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(cnf,[status(esa)],[ax3]) ).
cnf(l1,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(instantiation,[status(thm)],[12]) ).
fof(ax1,plain,
b_holds(key(generate_key(an_a_nonce),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(10,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(cnf,[status(esa)],[ax1]) ).
cnf(l2,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV011+1 : TPTP v9.0.0. Released v2.4.0.
% 0.05/0.11 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jul 22 07:59:04 EDT 2025
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % launching worker at depth: 1
% 0.16/0.32 % launching worker at depth: 7
% 0.16/0.32 % launching worker at depth: 3
% 0.16/0.32 % launching worker at depth: 4
% 0.16/0.32 % launching worker at depth: 6
% 0.16/0.32 % launching worker at depth: 2
% 0.16/0.32 % SZS status Theorem for theBenchmark
% 0.16/0.32 % launching worker at depth: 5% SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------