%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN986+1.002 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 37 ( 17 ~; 14 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 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 : 19 ( 1 sgn 5 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ck,plain,
? [Z2,Z1,Z0] :
( r(zero,zero,Z2)
& r(zero,Z2,Z1)
& r(zero,Z1,Z0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ck) ).
fof(ck_negated,plain,
~ ? [Z2,Z1,Z0] :
( r(zero,zero,Z2)
& r(zero,Z2,Z1)
& r(zero,Z1,Z0) ),
inference(negate_conjecture,[status(cth)],[ck]) ).
cnf(2,plain,
( ~ r(zero,X0,X1)
| ~ r(zero,X1,X2)
| ~ r(zero,zero,X0) ),
inference(cnf,[status(esa)],[ck_negated]) ).
cnf(l0,plain,
( ~ r(zero,succ(zero),succ(succ(zero)))
| ~ r(zero,succ(succ(zero)),succ(succ(succ(succ(zero)))))
| ~ r(zero,zero,succ(zero)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(hyp2,plain,
! [Y,X,Z,Z1] :
( r(Y,X,Z)
=> ( r(Z,X,Z1)
=> r(Y,succ(X),Z1) ) ),
file('Axioms/SYN002+0.ax',hyp2) ).
cnf(1,plain,
( ~ r(X0,X1,X2)
| ~ r(X2,X1,X3)
| r(X0,succ(X1),X3) ),
inference(cnf,[status(esa)],[hyp2]) ).
cnf(l1,plain,
( ~ r(zero,succ(zero),succ(succ(zero)))
| ~ r(succ(succ(zero)),succ(zero),succ(succ(succ(succ(zero)))))
| r(zero,succ(succ(zero)),succ(succ(succ(succ(zero))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ r(zero,zero,succ(zero))
| ~ r(succ(zero),zero,succ(succ(zero)))
| r(zero,succ(zero),succ(succ(zero))) ),
inference(instantiation,[status(thm)],[1]) ).
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(l3,plain,
r(zero,zero,succ(zero)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ r(succ(succ(zero)),zero,succ(succ(succ(zero))))
| ~ r(succ(succ(succ(zero))),zero,succ(succ(succ(succ(zero)))))
| r(succ(succ(zero)),succ(zero),succ(succ(succ(succ(zero))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
r(zero,zero,succ(zero)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
( ~ r(zero,zero,succ(zero))
| ~ r(succ(zero),zero,succ(succ(zero)))
| r(zero,succ(zero),succ(succ(zero))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
r(zero,zero,succ(zero)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
r(succ(zero),zero,succ(succ(zero))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
r(succ(succ(zero)),zero,succ(succ(succ(zero)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
r(succ(succ(succ(zero))),zero,succ(succ(succ(succ(zero))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
r(succ(zero),zero,succ(succ(zero))),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l8,l9,l10,l11,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN986+1.002 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 22 18:53:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------