%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV155+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 : n025.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 04:46:11 PM UTC 2025
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 43 ( 14 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 41 ( 9 ~; 4 |; 18 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 7 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_norm_0005,plain,
( ( pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& ! [A] :
( ( leq(n0,A)
& leq(A,pred(pv12)) )
=> a_select3(q,pv10,A) = divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [B] :
( ( leq(n0,B)
& leq(B,pred(pv10)) )
=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) )
=> ! [C] :
( ( leq(n0,C)
& leq(C,pred(pv10)) )
=> ( pv10 != C
=> sum(n0,n4,a_select3(q,C,tptp_sum_index)) = n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0005) ).
fof(cl5_nebula_norm_0005_negated,plain,
~ ( ( pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& ! [A] :
( ( leq(n0,A)
& leq(A,pred(pv12)) )
=> a_select3(q,pv10,A) = divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [B] :
( ( leq(n0,B)
& leq(B,pred(pv10)) )
=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) )
=> ! [C] :
( ( leq(n0,C)
& leq(C,pred(pv10)) )
=> ( pv10 != C
=> sum(n0,n4,a_select3(q,C,tptp_sum_index)) = n1 ) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_norm_0005]) ).
cnf(121,plain,
( ~ leq(X0,pred(pv10))
| ~ leq(n0,X0)
| sum(n0,n4,a_select3(q,X0,tptp_sum_index)) = n1 ),
inference(cnf,[status(esa)],[cl5_nebula_norm_0005_negated]) ).
cnf(l0,plain,
( ~ leq(sK28,pred(pv10))
| ~ leq(n0,sK28)
| sum(n0,n4,a_select3(q,sK28,tptp_sum_index)) = n1 ),
inference(instantiation,[status(thm)],[121]) ).
cnf(125,plain,
sum(n0,n4,a_select3(q,sK28,tptp_sum_index)) != n1,
inference(cnf,[status(esa)],[cl5_nebula_norm_0005_negated]) ).
cnf(l2,plain,
sum(n0,n4,a_select3(q,sK28,tptp_sum_index)) != n1,
inference(instantiation,[status(thm)],[125]) ).
cnf(122,plain,
leq(n0,sK28),
inference(cnf,[status(esa)],[cl5_nebula_norm_0005_negated]) ).
cnf(l3,plain,
leq(n0,sK28),
inference(instantiation,[status(thm)],[122]) ).
cnf(123,plain,
leq(sK28,pred(pv10)),
inference(cnf,[status(esa)],[cl5_nebula_norm_0005_negated]) ).
cnf(l1,plain,
leq(sK28,pred(pv10)),
inference(instantiation,[status(thm)],[123]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV155+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.07/0.14 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Jul 22 08:21:04 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % launching worker at depth: 2
% 0.14/0.37 % launching worker at depth: 8
% 0.14/0.37 % launching worker at depth: 4
% 0.14/0.37 % launching worker at depth: 1
% 0.14/0.37 % launching worker at depth: 3
% 0.14/0.37 % launching worker at depth: 6
% 0.14/0.37 % launching worker at depth: 7
% 0.14/0.37 % launching worker at depth: 5
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------