%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN986+1.000 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : 300s
% DateTime : Fri Jul 25 09:28:46 PM UTC 2025
% Result : Theorem 0.09s 0.29s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 5 ( 1 sgn 1 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ck,plain,
? [Z0] : r(zero,zero,Z0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ck) ).
fof(ck_negated,plain,
~ ? [Z0] : r(zero,zero,Z0),
inference(negate_conjecture,[status(cth)],[ck]) ).
cnf(2,plain,
~ r(zero,zero,X0),
inference(cnf,[status(esa)],[ck_negated]) ).
cnf(l0,plain,
~ r(zero,zero,succ(zero)),
inference(instantiation,[status(thm)],[2]) ).
fof(hyp1,plain,
! [Y] : r(Y,zero,succ(Y)),
file('Axioms/SYN002+0.ax',hyp1) ).
cnf(0,plain,
r(X0,zero,succ(X0)),
inference(cnf,[status(esa)],[hyp1]) ).
cnf(l1,plain,
r(zero,zero,succ(zero)),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN986+1.000 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n018.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Jul 22 18:53:34 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % SZS status Theorem for theBenchmark
% 0.09/0.29 % launching worker at depth: 5% SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------