%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Tue May 5 07:02:06 PM UTC 2026
% Result : Theorem 0.32s 0.36s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 5 sgn 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goal_009,plain,
? [N,Xs,Ys] :
~ ( drop(N,Xs) = drop(N,Ys)
=> Xs = Ys ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_009) ).
fof(goal_009_negated,plain,
~ ? [N,Xs,Ys] :
~ ( drop(N,Xs) = drop(N,Ys)
=> Xs = Ys ),
inference(negate_conjecture,[status(cth)],[goal_009]) ).
cnf(8,plain,
( drop(X0,X1) != drop(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[goal_009_negated]) ).
cnf(l0,plain,
( drop(s(z),cons(X1_6,drop(s(z),nil))) != drop(s(z),nil)
| cons(X1_6,drop(s(z),nil)) = nil ),
inference(instantiation,[status(thm)],[8]) ).
fof(axiom_008,plain,
! [Y] : drop(z,Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
cnf(7,plain,
drop(z,X0) = X0,
inference(cnf,[status(esa)],[axiom_008]) ).
cnf(l7,plain,
drop(z,drop(s(z),nil)) = drop(s(z),nil),
inference(instantiation,[status(thm)],[7]) ).
fof(axiom_003,plain,
! [X,X2] : nil != cons(X,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
cnf(2,plain,
nil != cons(X0,X1),
inference(cnf,[status(esa)],[axiom_003]) ).
cnf(l3,plain,
nil != cons(X1_6,drop(s(z),nil)),
inference(instantiation,[status(thm)],[2]) ).
fof(axiom_007,plain,
! [Z,X2,X3] : drop(s(Z),cons(X2,X3)) = drop(Z,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
cnf(6,plain,
drop(s(X0),cons(X1,X2)) = drop(X0,X2),
inference(cnf,[status(esa)],[axiom_007]) ).
cnf(l6,plain,
drop(s(z),cons(X1_6,drop(s(z),nil))) = drop(z,drop(s(z),nil)),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l7,l3,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.32 % Computer : n009.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 09:37:55 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.32 % launching worker at depth: 4
% 0.13/0.32 % launching worker at depth: 1
% 0.13/0.32 % launching worker at depth: 5
% 0.13/0.32 % launching worker at depth: 6
% 0.13/0.32 % launching worker at depth: 8
% 0.13/0.32 % launching worker at depth: 3
% 0.13/0.32 % launching worker at depth: 7
% 0.13/0.32 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 9
% 0.32/0.36 % SZS status Theorem for theBenchmark
% 0.32/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------