%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV174+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 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 04:46:13 PM UTC 2025
% Result : Theorem 0.11s 0.56s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 59 ( 10 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 54 ( 13 ~; 10 |; 18 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0046,plain,
( ( leq(n0,pv10)
& leq(pv10,n135299)
& ! [A] :
( ( leq(n0,A)
& leq(A,pred(pv10)) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> a_select3(q_init,A,B) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,n4) )
=> a_select3(center_init,C,n0) = init ) )
=> ! [D,E] :
( ( leq(n0,D)
& leq(n0,E)
& leq(D,n135299)
& leq(E,n4) )
=> ( gt(pv10,D)
=> a_select3(q_init,D,E) = init ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0046) ).
fof(cl5_nebula_init_0046_negated,plain,
~ ( ( leq(n0,pv10)
& leq(pv10,n135299)
& ! [A] :
( ( leq(n0,A)
& leq(A,pred(pv10)) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> a_select3(q_init,A,B) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,n4) )
=> a_select3(center_init,C,n0) = init ) )
=> ! [D,E] :
( ( leq(n0,D)
& leq(n0,E)
& leq(D,n135299)
& leq(E,n4) )
=> ( gt(pv10,D)
=> a_select3(q_init,D,E) = init ) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0046]) ).
cnf(117,plain,
( ~ leq(X0,pred(pv10))
| ~ leq(X1,n4)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_init,X0,X1) = init ),
inference(cnf,[status(esa)],[cl5_nebula_init_0046_negated]) ).
cnf(l0,plain,
( ~ leq(sK28,pred(pv10))
| ~ leq(sK29,n4)
| ~ leq(n0,sK28)
| ~ leq(n0,sK29)
| a_select3(q_init,sK28,sK29) = init ),
inference(instantiation,[status(thm)],[117]) ).
fof(leq_gt_pred,plain,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('Axioms/SWV003+0.ax',leq_gt_pred) ).
cnf(12,plain,
( ~ gt(X0,X1)
| leq(X1,pred(X0)) ),
inference(cnf,[status(esa)],[leq_gt_pred]) ).
cnf(l1,plain,
( ~ gt(pv10,sK28)
| leq(sK28,pred(pv10)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(120,plain,
leq(n0,sK29),
inference(cnf,[status(esa)],[cl5_nebula_init_0046_negated]) ).
cnf(l11,plain,
leq(n0,sK29),
inference(instantiation,[status(thm)],[120]) ).
cnf(123,plain,
gt(pv10,sK28),
inference(cnf,[status(esa)],[cl5_nebula_init_0046_negated]) ).
cnf(l5,plain,
gt(pv10,sK28),
inference(instantiation,[status(thm)],[123]) ).
cnf(124,plain,
a_select3(q_init,sK28,sK29) != init,
inference(cnf,[status(esa)],[cl5_nebula_init_0046_negated]) ).
cnf(l16,plain,
a_select3(q_init,sK28,sK29) != init,
inference(instantiation,[status(thm)],[124]) ).
cnf(119,plain,
leq(n0,sK28),
inference(cnf,[status(esa)],[cl5_nebula_init_0046_negated]) ).
cnf(l22,plain,
leq(n0,sK28),
inference(instantiation,[status(thm)],[119]) ).
cnf(122,plain,
leq(sK29,n4),
inference(cnf,[status(esa)],[cl5_nebula_init_0046_negated]) ).
cnf(l10,plain,
leq(sK29,n4),
inference(instantiation,[status(thm)],[122]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l11,l5,l16,l22,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SWV174+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.02/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.25 % Computer : n020.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Tue Jul 22 08:23:19 EDT 2025
% 0.07/0.25 % CPUTime :
% 0.07/0.26 % launching worker at depth: 5
% 0.07/0.26 % launching worker at depth: 8
% 0.07/0.26 % launching worker at depth: 4
% 0.07/0.26 % launching worker at depth: 3
% 0.07/0.26 % launching worker at depth: 2
% 0.07/0.26 % launching worker at depth: 6
% 0.07/0.26 % launching worker at depth: 7
% 0.07/0.26 % launching worker at depth: 1
% 0.11/0.27 % launching worker at depth: 9
% 0.11/0.56 % SZS status Theorem for theBenchmark
% 0.11/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------