%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV175+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n021.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 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 77 ( 18 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 73 ( 11 ~; 8 |; 32 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0051,plain,
( ( leq(n0,pv28)
& leq(n0,pv30)
& leq(pv28,n4)
& leq(pv30,n135299)
& ! [A] :
( ( leq(n0,A)
& leq(A,n135299) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> a_select3(q_init,A,B) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,pred(pv28)) )
=> a_select2(rho_init,C) = init )
& ! [D] :
( ( leq(n0,D)
& leq(D,n4) )
=> a_select3(center_init,D,n0) = init )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(n0,E)
& leq(E,n4) )
=> a_select2(muold_init,E) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select2(sigmaold_init,G) = init ) ) )
=> a_select3(q_init,pv30,pv28) = init ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0051) ).
fof(cl5_nebula_init_0051_negated,plain,
~ ( ( leq(n0,pv28)
& leq(n0,pv30)
& leq(pv28,n4)
& leq(pv30,n135299)
& ! [A] :
( ( leq(n0,A)
& leq(A,n135299) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> a_select3(q_init,A,B) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,pred(pv28)) )
=> a_select2(rho_init,C) = init )
& ! [D] :
( ( leq(n0,D)
& leq(D,n4) )
=> a_select3(center_init,D,n0) = init )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(n0,E)
& leq(E,n4) )
=> a_select2(muold_init,E) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select2(sigmaold_init,G) = init ) ) )
=> a_select3(q_init,pv30,pv28) = init ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0051]) ).
cnf(115,plain,
leq(n0,pv28),
inference(cnf,[status(esa)],[cl5_nebula_init_0051_negated]) ).
cnf(l0,plain,
leq(n0,pv28),
inference(instantiation,[status(thm)],[115]) ).
cnf(119,plain,
( ~ leq(X0,n135299)
| ~ leq(X1,n4)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_init,X0,X1) = init ),
inference(cnf,[status(esa)],[cl5_nebula_init_0051_negated]) ).
cnf(l1,plain,
( ~ leq(pv30,n135299)
| ~ leq(pv28,n4)
| ~ leq(n0,pv30)
| ~ leq(n0,pv28)
| a_select3(q_init,pv30,pv28) = init ),
inference(instantiation,[status(thm)],[119]) ).
cnf(116,plain,
leq(n0,pv30),
inference(cnf,[status(esa)],[cl5_nebula_init_0051_negated]) ).
cnf(l8,plain,
leq(n0,pv30),
inference(instantiation,[status(thm)],[116]) ).
cnf(118,plain,
leq(pv30,n135299),
inference(cnf,[status(esa)],[cl5_nebula_init_0051_negated]) ).
cnf(l5,plain,
leq(pv30,n135299),
inference(instantiation,[status(thm)],[118]) ).
cnf(117,plain,
leq(pv28,n4),
inference(cnf,[status(esa)],[cl5_nebula_init_0051_negated]) ).
cnf(l6,plain,
leq(pv28,n4),
inference(instantiation,[status(thm)],[117]) ).
cnf(125,plain,
a_select3(q_init,pv30,pv28) != init,
inference(cnf,[status(esa)],[cl5_nebula_init_0051_negated]) ).
cnf(l3,plain,
a_select3(q_init,pv30,pv28) != init,
inference(instantiation,[status(thm)],[125]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l8,l5,l6,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV175+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 08:23:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.34 % launching worker at depth: 5
% 0.18/0.34 % launching worker at depth: 2
% 0.18/0.34 % launching worker at depth: 3
% 0.18/0.34 % launching worker at depth: 8
% 0.18/0.34 % launching worker at depth: 1
% 0.18/0.34 % launching worker at depth: 4
% 0.18/0.34 % launching worker at depth: 6
% 0.18/0.34 % launching worker at depth: 7
% 0.18/0.36 % SZS status Theorem for theBenchmark
% 0.18/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------